Classical and quantum electrodynamics and the B(3) field /:
It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a frame...
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| Sprache: | English |
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Singapore ; River Edge, N.J. :
World Scientific,
©2001.
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| Schriftenreihe: | World Scientific series in contemporary chemical physics ;
vol. 18. |
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| Online-Zugang: | Volltext |
| Zusammenfassung: | It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field. |
| Beschreibung: | 1 online resource (xiv, 457 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789812811905 9812811907 1281960799 9781281960795 9786611960797 6611960791 |
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| 245 | 1 | 0 | |a Classical and quantum electrodynamics and the B(3) field / |c M.W. Evans & L.B. Crowell. |
| 260 | |a Singapore ; |a River Edge, N.J. : |b World Scientific, |c ©2001. | ||
| 300 | |a 1 online resource (xiv, 457 pages) : |b illustrations | ||
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| 504 | |a Includes bibliographical references and index. | ||
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| 505 | 0 | |a Ch. 1. Interaction of electromagnetic radiation with one fermion. 1.1. Lorentz electron. 1.2. Radiation induced electron and proton spin resonance. 1.3. The [symbol] field. 1.4. Electrodynamics as a nonAbelian gauge field theory. 1.5. Limitations of the U(1) theory. 1.6. Classical relativistic nonAbelian electrodynamics. 1.7. Relativistic quantum description. 1.8. Nonrelativistic quantum description. 1.9. Schrodinger equation with intrinsic spin. 1.10. Resonance conditions in RFR. 1.11. Chemical shifts in NMR. 1.12. Classical derivation of the inverse Faraday effect. References -- ch. 2. The field equations of classical [symbol] electrodynamics. 2.1. Introduction. 2.2. The [symbol] field equations. 2.3. Basic S.I. units. 2.4. The [symbol] vacuum equations. 2.5. Reduction to Maxwell's equations. 2.6. The fundamental laws of [symbol] electrodynamics. 2.7. The Lorentz force equation in [symbol] electrodynamics. 2.8. Continuity equation and Lorentz condition in [symbol] electrodynamics. 2.9. Primitive concepts, axioms and constitutive relations of [symbol] electrodynamics. 2.10. The inverse Faraday effect. 2.11. The effective [symbol] potential, photoelectric and Compton effects and radiation reaction. 2.12. Summary. References -- ch. 3. Origin of electrodynamics in the general theory of gauge fields. 3.1. Closed loop in Minkowski space. 3.2. Gauge transformations. 3.3. The Sagnac effect. 3.4. Observation of [symbol] in the topological phase. 3.5. The nonAbelian stokes theorem and the electromagnetic phase. 3.6. Link between b cyclic theorem and the nonAbelian stokes theorem. References -- ch. 4. Nonlinear propagation in [symbol] electrodynamics: solitons and instantons. 4.1. Limitation in the U(1) theory. 4.2. Identification of the Harmuth and [symbol] field equations. 4.3. Structure of the [symbol] and Harmuth-Barrett field equations. 4.4. Link between the [symbol] equations and the Sine-Gordon equations. 4.5. Instantons. 4.6. Higher order soliton equations. References -- ch. 5. Physical phase effects in [symbol] electrodynamics. 5.1. Phase effects. 5.2. Phase shift of the optical Josephson effect. 5.3. Phase factor of the optical Hall effect. References. | |
| 505 | 8 | |a Ch. 6. Quantum electrodynamics and the [symbol] field. 6.1. Introduction to quantum electrodynamics. 6.2. A brief introduction to differential forms. 6.3. The physical basis for nonAbelian electrodynamics. 6.4. The quantized U(1) and [symbol] electrodynamic field. 6.5. Quantum electrodynamics of elementary scattering. 6.6. Physics of quantum electrodynamics of electrons and photons with the [symbol] field. 6.7. Nonrelativistic estimate of the [symbol] contribution to the lamb shift. 6.8. Derivation of the [symbol] spectrum from nonAbelian electrodynamics. 6.9. Analogy from classical field to nonAbelian quantum electrodynamics. References -- ch. 7. Quantum chaos, topological indices and gauge theories. 7.1. Introduction. 7.2. Topological number and quantum vortices. 7.3. Density operator methods. 7.4. Hamiltonian chaotic systems. 7.5. Quantum geometry and Bohm's theory. 7.6. Discussion and problems. References -- ch. 8. Field theory of [symbol] QED and unification with weak and nuclear interactions. 8.1. Discussion. 8.2. Basics of relativistic [symbol] QED. 8.3. Renormalization of [symbol] QED. 8.4. [Symbol] field as a vacuum symmetry -- ch. 9. Potential application of [symbol] QED. 9.1. Computation, biophysics and [symbol] induced entangled states. 9.2. [symbol] field and the sequencing of DNA -- ch. 10. Duality and fundamental problems. 10.1. Foundations for SU(2) electromagnetism. 10.2. Rotations between spacetime conjugate variables and their fluctuations in quantum gravity. 10.3. Duality: questions, numerical probes, and quantum uncertainty. 10.4. Gravitation with one killing isometry. 10.5. Brief discussion on string theory. 10.6. Overview of conformal groups. 10.7. Conformal structure of the vacuum. 10.8. Conformal group and gauge theories according to weighted projective spaces. 10.9. Conformal theory of [symbol] string vortices. 10.10. Concluding statements on duality. References. | |
| 520 | |a It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Electrodynamics. |0 http://id.loc.gov/authorities/subjects/sh85042135 | |
| 650 | 0 | |a Quantum electrodynamics. |0 http://id.loc.gov/authorities/subjects/sh85109459 | |
| 650 | 0 | |a Quantum theory. |0 http://id.loc.gov/authorities/subjects/sh85109469 | |
| 650 | 6 | |a Électrodynamique. | |
| 650 | 6 | |a Électrodynamique quantique. | |
| 650 | 6 | |a Théorie quantique. | |
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| 650 | 7 | |a Electrodynamics |2 fast | |
| 650 | 7 | |a Quantum electrodynamics |2 fast | |
| 650 | 7 | |a Quantum theory |2 fast | |
| 700 | 1 | |a Crowell, L. B. |1 https://id.oclc.org/worldcat/entity/E39PCjKrcfBw3dfxVQxqmvTxH3 |0 http://id.loc.gov/authorities/names/no2001061328 | |
| 776 | 0 | 8 | |i Print version: |a Evans, Myron W. (Myron Wyn), 1950- |t Classical and quantum electrodynamics and the B(3) field. |d Singapore ; River Edge, N.J. : World Scientific, ©2001 |z 9810241496 |z 9789810241490 |w (DLC) 2005274875 |w (OCoLC)47628483 |
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| contents | Ch. 1. Interaction of electromagnetic radiation with one fermion. 1.1. Lorentz electron. 1.2. Radiation induced electron and proton spin resonance. 1.3. The [symbol] field. 1.4. Electrodynamics as a nonAbelian gauge field theory. 1.5. Limitations of the U(1) theory. 1.6. Classical relativistic nonAbelian electrodynamics. 1.7. Relativistic quantum description. 1.8. Nonrelativistic quantum description. 1.9. Schrodinger equation with intrinsic spin. 1.10. Resonance conditions in RFR. 1.11. Chemical shifts in NMR. 1.12. Classical derivation of the inverse Faraday effect. References -- ch. 2. The field equations of classical [symbol] electrodynamics. 2.1. Introduction. 2.2. The [symbol] field equations. 2.3. Basic S.I. units. 2.4. The [symbol] vacuum equations. 2.5. Reduction to Maxwell's equations. 2.6. The fundamental laws of [symbol] electrodynamics. 2.7. The Lorentz force equation in [symbol] electrodynamics. 2.8. Continuity equation and Lorentz condition in [symbol] electrodynamics. 2.9. Primitive concepts, axioms and constitutive relations of [symbol] electrodynamics. 2.10. The inverse Faraday effect. 2.11. The effective [symbol] potential, photoelectric and Compton effects and radiation reaction. 2.12. Summary. References -- ch. 3. Origin of electrodynamics in the general theory of gauge fields. 3.1. Closed loop in Minkowski space. 3.2. Gauge transformations. 3.3. The Sagnac effect. 3.4. Observation of [symbol] in the topological phase. 3.5. The nonAbelian stokes theorem and the electromagnetic phase. 3.6. Link between b cyclic theorem and the nonAbelian stokes theorem. References -- ch. 4. Nonlinear propagation in [symbol] electrodynamics: solitons and instantons. 4.1. Limitation in the U(1) theory. 4.2. Identification of the Harmuth and [symbol] field equations. 4.3. Structure of the [symbol] and Harmuth-Barrett field equations. 4.4. Link between the [symbol] equations and the Sine-Gordon equations. 4.5. Instantons. 4.6. Higher order soliton equations. References -- ch. 5. Physical phase effects in [symbol] electrodynamics. 5.1. Phase effects. 5.2. Phase shift of the optical Josephson effect. 5.3. Phase factor of the optical Hall effect. References. Ch. 6. Quantum electrodynamics and the [symbol] field. 6.1. Introduction to quantum electrodynamics. 6.2. A brief introduction to differential forms. 6.3. The physical basis for nonAbelian electrodynamics. 6.4. The quantized U(1) and [symbol] electrodynamic field. 6.5. Quantum electrodynamics of elementary scattering. 6.6. Physics of quantum electrodynamics of electrons and photons with the [symbol] field. 6.7. Nonrelativistic estimate of the [symbol] contribution to the lamb shift. 6.8. Derivation of the [symbol] spectrum from nonAbelian electrodynamics. 6.9. Analogy from classical field to nonAbelian quantum electrodynamics. References -- ch. 7. Quantum chaos, topological indices and gauge theories. 7.1. Introduction. 7.2. Topological number and quantum vortices. 7.3. Density operator methods. 7.4. Hamiltonian chaotic systems. 7.5. Quantum geometry and Bohm's theory. 7.6. Discussion and problems. References -- ch. 8. Field theory of [symbol] QED and unification with weak and nuclear interactions. 8.1. Discussion. 8.2. Basics of relativistic [symbol] QED. 8.3. Renormalization of [symbol] QED. 8.4. [Symbol] field as a vacuum symmetry -- ch. 9. Potential application of [symbol] QED. 9.1. Computation, biophysics and [symbol] induced entangled states. 9.2. [symbol] field and the sequencing of DNA -- ch. 10. Duality and fundamental problems. 10.1. Foundations for SU(2) electromagnetism. 10.2. Rotations between spacetime conjugate variables and their fluctuations in quantum gravity. 10.3. Duality: questions, numerical probes, and quantum uncertainty. 10.4. Gravitation with one killing isometry. 10.5. Brief discussion on string theory. 10.6. Overview of conformal groups. 10.7. Conformal structure of the vacuum. 10.8. Conformal group and gauge theories according to weighted projective spaces. 10.9. Conformal theory of [symbol] string vortices. 10.10. Concluding statements on duality. References. |
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Interaction of electromagnetic radiation with one fermion. 1.1. Lorentz electron. 1.2. Radiation induced electron and proton spin resonance. 1.3. The [symbol] field. 1.4. Electrodynamics as a nonAbelian gauge field theory. 1.5. Limitations of the U(1) theory. 1.6. Classical relativistic nonAbelian electrodynamics. 1.7. Relativistic quantum description. 1.8. Nonrelativistic quantum description. 1.9. Schrodinger equation with intrinsic spin. 1.10. Resonance conditions in RFR. 1.11. Chemical shifts in NMR. 1.12. Classical derivation of the inverse Faraday effect. References -- ch. 2. The field equations of classical [symbol] electrodynamics. 2.1. Introduction. 2.2. The [symbol] field equations. 2.3. Basic S.I. units. 2.4. The [symbol] vacuum equations. 2.5. Reduction to Maxwell's equations. 2.6. The fundamental laws of [symbol] electrodynamics. 2.7. The Lorentz force equation in [symbol] electrodynamics. 2.8. Continuity equation and Lorentz condition in [symbol] electrodynamics. 2.9. Primitive concepts, axioms and constitutive relations of [symbol] electrodynamics. 2.10. The inverse Faraday effect. 2.11. The effective [symbol] potential, photoelectric and Compton effects and radiation reaction. 2.12. Summary. References -- ch. 3. Origin of electrodynamics in the general theory of gauge fields. 3.1. Closed loop in Minkowski space. 3.2. Gauge transformations. 3.3. The Sagnac effect. 3.4. Observation of [symbol] in the topological phase. 3.5. The nonAbelian stokes theorem and the electromagnetic phase. 3.6. Link between b cyclic theorem and the nonAbelian stokes theorem. References -- ch. 4. Nonlinear propagation in [symbol] electrodynamics: solitons and instantons. 4.1. Limitation in the U(1) theory. 4.2. Identification of the Harmuth and [symbol] field equations. 4.3. Structure of the [symbol] and Harmuth-Barrett field equations. 4.4. Link between the [symbol] equations and the Sine-Gordon equations. 4.5. Instantons. 4.6. Higher order soliton equations. References -- ch. 5. Physical phase effects in [symbol] electrodynamics. 5.1. Phase effects. 5.2. Phase shift of the optical Josephson effect. 5.3. Phase factor of the optical Hall effect. References.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">Ch. 6. Quantum electrodynamics and the [symbol] field. 6.1. Introduction to quantum electrodynamics. 6.2. A brief introduction to differential forms. 6.3. The physical basis for nonAbelian electrodynamics. 6.4. The quantized U(1) and [symbol] electrodynamic field. 6.5. Quantum electrodynamics of elementary scattering. 6.6. Physics of quantum electrodynamics of electrons and photons with the [symbol] field. 6.7. Nonrelativistic estimate of the [symbol] contribution to the lamb shift. 6.8. Derivation of the [symbol] spectrum from nonAbelian electrodynamics. 6.9. Analogy from classical field to nonAbelian quantum electrodynamics. References -- ch. 7. Quantum chaos, topological indices and gauge theories. 7.1. Introduction. 7.2. Topological number and quantum vortices. 7.3. Density operator methods. 7.4. Hamiltonian chaotic systems. 7.5. Quantum geometry and Bohm's theory. 7.6. Discussion and problems. References -- ch. 8. Field theory of [symbol] QED and unification with weak and nuclear interactions. 8.1. Discussion. 8.2. Basics of relativistic [symbol] QED. 8.3. Renormalization of [symbol] QED. 8.4. [Symbol] field as a vacuum symmetry -- ch. 9. Potential application of [symbol] QED. 9.1. Computation, biophysics and [symbol] induced entangled states. 9.2. [symbol] field and the sequencing of DNA -- ch. 10. Duality and fundamental problems. 10.1. Foundations for SU(2) electromagnetism. 10.2. Rotations between spacetime conjugate variables and their fluctuations in quantum gravity. 10.3. Duality: questions, numerical probes, and quantum uncertainty. 10.4. Gravitation with one killing isometry. 10.5. Brief discussion on string theory. 10.6. Overview of conformal groups. 10.7. Conformal structure of the vacuum. 10.8. Conformal group and gauge theories according to weighted projective spaces. 10.9. Conformal theory of [symbol] string vortices. 10.10. Concluding statements on duality. References.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. 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| id | ZDB-4-EBA-ocn261134592 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:32Z |
| institution | BVB |
| isbn | 9789812811905 9812811907 1281960799 9781281960795 9786611960797 6611960791 |
| language | English |
| oclc_num | 261134592 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 457 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific, |
| record_format | marc |
| series | World Scientific series in contemporary chemical physics ; |
| series2 | Series in contemporary chemical physics ; |
| spelling | Evans, Myron W. (Myron Wyn), 1950- https://id.oclc.org/worldcat/entity/E39PBJbRqbx9xvGgDWxCgFgkDq http://id.loc.gov/authorities/names/n81077940 Classical and quantum electrodynamics and the B(3) field / M.W. Evans & L.B. Crowell. Singapore ; River Edge, N.J. : World Scientific, ©2001. 1 online resource (xiv, 457 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Series in contemporary chemical physics ; vol. 18 Includes bibliographical references and index. Print version record. Ch. 1. Interaction of electromagnetic radiation with one fermion. 1.1. Lorentz electron. 1.2. Radiation induced electron and proton spin resonance. 1.3. The [symbol] field. 1.4. Electrodynamics as a nonAbelian gauge field theory. 1.5. Limitations of the U(1) theory. 1.6. Classical relativistic nonAbelian electrodynamics. 1.7. Relativistic quantum description. 1.8. Nonrelativistic quantum description. 1.9. Schrodinger equation with intrinsic spin. 1.10. Resonance conditions in RFR. 1.11. Chemical shifts in NMR. 1.12. Classical derivation of the inverse Faraday effect. References -- ch. 2. The field equations of classical [symbol] electrodynamics. 2.1. Introduction. 2.2. The [symbol] field equations. 2.3. Basic S.I. units. 2.4. The [symbol] vacuum equations. 2.5. Reduction to Maxwell's equations. 2.6. The fundamental laws of [symbol] electrodynamics. 2.7. The Lorentz force equation in [symbol] electrodynamics. 2.8. Continuity equation and Lorentz condition in [symbol] electrodynamics. 2.9. Primitive concepts, axioms and constitutive relations of [symbol] electrodynamics. 2.10. The inverse Faraday effect. 2.11. The effective [symbol] potential, photoelectric and Compton effects and radiation reaction. 2.12. Summary. References -- ch. 3. Origin of electrodynamics in the general theory of gauge fields. 3.1. Closed loop in Minkowski space. 3.2. Gauge transformations. 3.3. The Sagnac effect. 3.4. Observation of [symbol] in the topological phase. 3.5. The nonAbelian stokes theorem and the electromagnetic phase. 3.6. Link between b cyclic theorem and the nonAbelian stokes theorem. References -- ch. 4. Nonlinear propagation in [symbol] electrodynamics: solitons and instantons. 4.1. Limitation in the U(1) theory. 4.2. Identification of the Harmuth and [symbol] field equations. 4.3. Structure of the [symbol] and Harmuth-Barrett field equations. 4.4. Link between the [symbol] equations and the Sine-Gordon equations. 4.5. Instantons. 4.6. Higher order soliton equations. References -- ch. 5. Physical phase effects in [symbol] electrodynamics. 5.1. Phase effects. 5.2. Phase shift of the optical Josephson effect. 5.3. Phase factor of the optical Hall effect. References. Ch. 6. Quantum electrodynamics and the [symbol] field. 6.1. Introduction to quantum electrodynamics. 6.2. A brief introduction to differential forms. 6.3. The physical basis for nonAbelian electrodynamics. 6.4. The quantized U(1) and [symbol] electrodynamic field. 6.5. Quantum electrodynamics of elementary scattering. 6.6. Physics of quantum electrodynamics of electrons and photons with the [symbol] field. 6.7. Nonrelativistic estimate of the [symbol] contribution to the lamb shift. 6.8. Derivation of the [symbol] spectrum from nonAbelian electrodynamics. 6.9. Analogy from classical field to nonAbelian quantum electrodynamics. References -- ch. 7. Quantum chaos, topological indices and gauge theories. 7.1. Introduction. 7.2. Topological number and quantum vortices. 7.3. Density operator methods. 7.4. Hamiltonian chaotic systems. 7.5. Quantum geometry and Bohm's theory. 7.6. Discussion and problems. References -- ch. 8. Field theory of [symbol] QED and unification with weak and nuclear interactions. 8.1. Discussion. 8.2. Basics of relativistic [symbol] QED. 8.3. Renormalization of [symbol] QED. 8.4. [Symbol] field as a vacuum symmetry -- ch. 9. Potential application of [symbol] QED. 9.1. Computation, biophysics and [symbol] induced entangled states. 9.2. [symbol] field and the sequencing of DNA -- ch. 10. Duality and fundamental problems. 10.1. Foundations for SU(2) electromagnetism. 10.2. Rotations between spacetime conjugate variables and their fluctuations in quantum gravity. 10.3. Duality: questions, numerical probes, and quantum uncertainty. 10.4. Gravitation with one killing isometry. 10.5. Brief discussion on string theory. 10.6. Overview of conformal groups. 10.7. Conformal structure of the vacuum. 10.8. Conformal group and gauge theories according to weighted projective spaces. 10.9. Conformal theory of [symbol] string vortices. 10.10. Concluding statements on duality. References. It is well known that classical electrodynamics is riddled with internal inconsistencies springing from the fact that it is a linear, Abelian theory in which the potentials are unphysical. This volume offers a self-consistent hypothesis which removes some of these problems, as well as builds a framework on which linear and nonlinear optics are treated as a non-Abelian gauge field theory based on the emergence of the fundamental magnetizing field of radiation, the B(3) field. English. Electrodynamics. http://id.loc.gov/authorities/subjects/sh85042135 Quantum electrodynamics. http://id.loc.gov/authorities/subjects/sh85109459 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Électrodynamique. Électrodynamique quantique. Théorie quantique. SCIENCE Physics Electricity. bisacsh Electrodynamics fast Quantum electrodynamics fast Quantum theory fast Crowell, L. B. https://id.oclc.org/worldcat/entity/E39PCjKrcfBw3dfxVQxqmvTxH3 http://id.loc.gov/authorities/names/no2001061328 Print version: Evans, Myron W. (Myron Wyn), 1950- Classical and quantum electrodynamics and the B(3) field. Singapore ; River Edge, N.J. : World Scientific, ©2001 9810241496 9789810241490 (DLC) 2005274875 (OCoLC)47628483 World Scientific series in contemporary chemical physics ; vol. 18. http://id.loc.gov/authorities/names/no93025701 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235928 Volltext |
| spellingShingle | Evans, Myron W. (Myron Wyn), 1950- Classical and quantum electrodynamics and the B(3) field / World Scientific series in contemporary chemical physics ; Ch. 1. Interaction of electromagnetic radiation with one fermion. 1.1. Lorentz electron. 1.2. Radiation induced electron and proton spin resonance. 1.3. The [symbol] field. 1.4. Electrodynamics as a nonAbelian gauge field theory. 1.5. Limitations of the U(1) theory. 1.6. Classical relativistic nonAbelian electrodynamics. 1.7. Relativistic quantum description. 1.8. Nonrelativistic quantum description. 1.9. Schrodinger equation with intrinsic spin. 1.10. Resonance conditions in RFR. 1.11. Chemical shifts in NMR. 1.12. Classical derivation of the inverse Faraday effect. References -- ch. 2. The field equations of classical [symbol] electrodynamics. 2.1. Introduction. 2.2. The [symbol] field equations. 2.3. Basic S.I. units. 2.4. The [symbol] vacuum equations. 2.5. Reduction to Maxwell's equations. 2.6. The fundamental laws of [symbol] electrodynamics. 2.7. The Lorentz force equation in [symbol] electrodynamics. 2.8. Continuity equation and Lorentz condition in [symbol] electrodynamics. 2.9. Primitive concepts, axioms and constitutive relations of [symbol] electrodynamics. 2.10. The inverse Faraday effect. 2.11. The effective [symbol] potential, photoelectric and Compton effects and radiation reaction. 2.12. Summary. References -- ch. 3. Origin of electrodynamics in the general theory of gauge fields. 3.1. Closed loop in Minkowski space. 3.2. Gauge transformations. 3.3. The Sagnac effect. 3.4. Observation of [symbol] in the topological phase. 3.5. The nonAbelian stokes theorem and the electromagnetic phase. 3.6. Link between b cyclic theorem and the nonAbelian stokes theorem. References -- ch. 4. Nonlinear propagation in [symbol] electrodynamics: solitons and instantons. 4.1. Limitation in the U(1) theory. 4.2. Identification of the Harmuth and [symbol] field equations. 4.3. Structure of the [symbol] and Harmuth-Barrett field equations. 4.4. Link between the [symbol] equations and the Sine-Gordon equations. 4.5. Instantons. 4.6. Higher order soliton equations. References -- ch. 5. Physical phase effects in [symbol] electrodynamics. 5.1. Phase effects. 5.2. Phase shift of the optical Josephson effect. 5.3. Phase factor of the optical Hall effect. References. Ch. 6. Quantum electrodynamics and the [symbol] field. 6.1. Introduction to quantum electrodynamics. 6.2. A brief introduction to differential forms. 6.3. The physical basis for nonAbelian electrodynamics. 6.4. The quantized U(1) and [symbol] electrodynamic field. 6.5. Quantum electrodynamics of elementary scattering. 6.6. Physics of quantum electrodynamics of electrons and photons with the [symbol] field. 6.7. Nonrelativistic estimate of the [symbol] contribution to the lamb shift. 6.8. Derivation of the [symbol] spectrum from nonAbelian electrodynamics. 6.9. Analogy from classical field to nonAbelian quantum electrodynamics. References -- ch. 7. Quantum chaos, topological indices and gauge theories. 7.1. Introduction. 7.2. Topological number and quantum vortices. 7.3. Density operator methods. 7.4. Hamiltonian chaotic systems. 7.5. Quantum geometry and Bohm's theory. 7.6. Discussion and problems. References -- ch. 8. Field theory of [symbol] QED and unification with weak and nuclear interactions. 8.1. Discussion. 8.2. Basics of relativistic [symbol] QED. 8.3. Renormalization of [symbol] QED. 8.4. [Symbol] field as a vacuum symmetry -- ch. 9. Potential application of [symbol] QED. 9.1. Computation, biophysics and [symbol] induced entangled states. 9.2. [symbol] field and the sequencing of DNA -- ch. 10. Duality and fundamental problems. 10.1. Foundations for SU(2) electromagnetism. 10.2. Rotations between spacetime conjugate variables and their fluctuations in quantum gravity. 10.3. Duality: questions, numerical probes, and quantum uncertainty. 10.4. Gravitation with one killing isometry. 10.5. Brief discussion on string theory. 10.6. Overview of conformal groups. 10.7. Conformal structure of the vacuum. 10.8. Conformal group and gauge theories according to weighted projective spaces. 10.9. Conformal theory of [symbol] string vortices. 10.10. Concluding statements on duality. References. Electrodynamics. http://id.loc.gov/authorities/subjects/sh85042135 Quantum electrodynamics. http://id.loc.gov/authorities/subjects/sh85109459 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Électrodynamique. Électrodynamique quantique. Théorie quantique. SCIENCE Physics Electricity. bisacsh Electrodynamics fast Quantum electrodynamics fast Quantum theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85042135 http://id.loc.gov/authorities/subjects/sh85109459 http://id.loc.gov/authorities/subjects/sh85109469 |
| title | Classical and quantum electrodynamics and the B(3) field / |
| title_auth | Classical and quantum electrodynamics and the B(3) field / |
| title_exact_search | Classical and quantum electrodynamics and the B(3) field / |
| title_full | Classical and quantum electrodynamics and the B(3) field / M.W. Evans & L.B. Crowell. |
| title_fullStr | Classical and quantum electrodynamics and the B(3) field / M.W. Evans & L.B. Crowell. |
| title_full_unstemmed | Classical and quantum electrodynamics and the B(3) field / M.W. Evans & L.B. Crowell. |
| title_short | Classical and quantum electrodynamics and the B(3) field / |
| title_sort | classical and quantum electrodynamics and the b 3 field |
| topic | Electrodynamics. http://id.loc.gov/authorities/subjects/sh85042135 Quantum electrodynamics. http://id.loc.gov/authorities/subjects/sh85109459 Quantum theory. http://id.loc.gov/authorities/subjects/sh85109469 Électrodynamique. Électrodynamique quantique. Théorie quantique. SCIENCE Physics Electricity. bisacsh Electrodynamics fast Quantum electrodynamics fast Quantum theory fast |
| topic_facet | Electrodynamics. Quantum electrodynamics. Quantum theory. Électrodynamique. Électrodynamique quantique. Théorie quantique. SCIENCE Physics Electricity. Electrodynamics Quantum electrodynamics Quantum theory |
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