Theoretical atomic physics:
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2006
|
| Edition: | 3. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturangaben |
| Physical Description: | XIV, 506 S. graph. Darst. 235 mm x 155 mm, 760 gr. |
| ISBN: | 9783540256441 354025644X |
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS 1 REVIEW OF QUANTUM MECHANICS 1 1.1 WAVE FUNCTIONS AND
EQUATIONS OF MOTION 1 1.1.1 STATES AND WAVE FUNCTIONS 1 1.1.2 LINEAR
OPERATORS AND OBSERVABLES 3 1.1.3 THE HAMILTONIAN AND EQUATIONS OF
MOTION 7 1.2 SYMMETRIES 9 1.2.1 CONSTANTS OF MOTION AND SYMMETRIES 9
1.2.2 THE RADIAL SCHROEDINGER EQUATION 12 1.2.3 EXAMPLE: THE RADIALLY
SYMMETRIE HARMONIE OSCILLATOR 14 1.3 BOUND STATES AND UNBOUND STATES 16
1.3.1 BOUND STATES 16 1.3.2 UNBOUND STATES 19 1.3.3 EXAMPLES 23 1.3.4
NORMALIZATION OF UNBOUND STATES 28 1.4 PROCESSES INVOLVING UNBOUND
STATES 30 1.4.1 WAVE PACKETS 30 1.4.2 TRANSMISSION AND REFLECTION 33
1.4.3 TIME DELAYS AND SPACE SHIFTS 35 1.5 RESONANCES AND CHANNELS 40
1.5.1 CHANNELS 41 1.5.2 FESHBACH RESONANCES 43 1.5.3 POTENTIAL
RESONANCES 48 1.6 METHODS OF APPROXIMATION 50 1.6.1 TIME-INDEPENDENT
PERTURBATION THEORY 50 1.6.2 RITZ S VARIATIONAL METHOD 54 1.6.3
SEMICLASSICAL APPROXIMATION 57 1.6.4 INVERSE POWER-LAW POTENTIALS 67 1.7
ANGULAR MOMENTUM AND SPIN 72 1.7.1 ADDITION OF ANGULAR MOMENTA 74 1.7.2
SPIN 75 1.7.3 SPIN-ORBIT COUPLING 77 XII CONTENTS PROBLEMS REFERENCES 79
83 2 ATOMS AND IONS 2.1 ONE-ELECTRON SYSTEMS 85 2.1.1 THE HYDROGEN ATOM
85 2.1.2 HYDROGENIC IONS 85 2.1.3 THE DIRAC EQUATION 87 2-2 M A T ^ O ^
93 2-2.1 THE HAMILTONIAN . 95 2 2 2% 2 LT H^ P L E ^ SKTER DE TERMIN A
NTS . . ::. . . F 6 2.2.3 THE SHELL STRUCTURE OF ATOMS * 2.3 THE
7V-ELECTRON PROBLEM 103 2.3.1 THE HARTREE-FOCK METHOD 107 2 3 ? SRSF L 0
N S ^ CONFI ^ATION INTERACTION . . . . N 2? 2.3.3 THE THOMAS-FERMI
MODEL 2.3.4 DENSITY FUNCTIONAL METHODS .. !!F 2.4 ELECTROMAGNETIC
TRANSITIONS 118 L T L ^ AN S, TI0NS IN GENERAL GOLDE » RULE» . . .
!O? 2.4.2 THE ELECTROMAGNETIC FIELD 2.4.3 INTERACTION BETWEEN ATOM AND
FIELD . . 7 JJ 2.4.4 EMISSIO N AND ABSORPTION OF PHOTONS !?? 2.4.5
SELECTION RULES 130 PROB,*. 0SD ; IATOT A * H S : ^ R - ; * * *
* :. * * . ::::::::::: LI REFERENCES 140 142 ATOMIC SPECTRA 3-1
LONG-RANGED AND SHORTER^RANGED POTENTIALS . . . T 3.1.1
VERY-LONG-RANGED POTENTIALS ... F R 3.1.2 SHORTER-RANGED POTENTIALS .
7Z MANV 1 ^ 1 ^^ 0111 FLNITE NUMBER T0 IN ^TELY MANY BOUND STATES,
IN VERSE-SQUARE TAILS ... 152 3 2 N I R P ^ ^ D DIPOLE SERIES IN THE
H~ ION IS 3.2 ONE ELECTRON M A MODIFIED COULOMB POTENTIAL ^ 3.2.1
RYDBERG SERIES, QUANTUM DEFECTS ... 77. T C Y 8 T H E R E M NE -
CHANNEL QUANTUM DEFECT 3 3 R ^ I P H TOABSOR P TIO N UND
PHOTOIONIZATION . . . !IJ 3.3 COUPLED CHANNELS 172 3.3.1 CLOSE-COUPLING
EQUATIONS ..... . . )TL 3.3.2 AUTOIONIZING RESONANCES 3.3.3
CONFIGURATION INTERACTION, INTERFERENCE OF RESONANCES . . M CONTENTS
XIII 3.3.4 PERTURBED RYDBERG SERIES 191 3.4 MULTICHANNEL QUANTUM DEFECT
THEORY (MQDT) 193 3.4.1 TWO COUPLED COULOMB CHANNELS 193 3.4.2 THE
LU-FANO PLOT 200 3.4.3 MORE THAN TWO CHANNELS 203 3.5 ATOMS IN EXTERNAL
FIELDS 211 3.5.1 ATOMS IN A STATIC, HOMOGENEOUS ELECTRIC FIELD 212 3.5.2
ATOMS IN A STATIC, HOMOGENEOUS MAGNETIC FIELD 219 3.5.3 ATOMS IN AN
OSCILLATING ELECTRIC FIELD 232 PROBLEMS 235 REFERENCES 239 SIMPLE
REACTIONS 243 4.1 ELASTIC SCATTERING 243 4.1.1 ELASTIC SCATTERING BY A
SHORTER-RANGED POTENTIAL 243 4.1.2 MEAN SCATTERING LENGTHS 254 4.1.3
NEAR-THRESHOLD FESHBACH RESONANCES 257 4.1.4 SEMICLASSICAL DESCRIPTION
OF ELASTIC SCATTERING 259 4.1.5 ELASTIC SCATTERING BY A PURE COULOMB
POTENTIAL 265 4.1.6 ELASTIC SCATTERING BY A MODIFIED COULOMB POTENTIAL,
DWBA 268 4.1.7 FESHBACH PROJECTION. OPTICAL POTENTIAL 271 4.2 SPIN AND
POLARIZATION 273 4.2.1 CONSEQUENCES OF SPIN-ORBIT COUPLING 273 4.2.2
APPLICATION TO GENERAL PURE SPIN STATES 276 4.2.3 APPLICATION TO MIXED
SPIN STATES 279 4.3 INELASTIC SCATTERING 281 4.3.1 GENERAL FORMULATION
281 4.3.2 COUPLED RADIAL EQUATIONS 287 4.3.3 THRESHOLD EFFECTS 292 4.3.4
AN EXAMPLE 295 4.4 EXIT CHANNELS WITH TWO UNBOUND ELECTRONS 298 4.4.1
GENERAL FORMULATION 298 4.4.2 APPLICATION TO ELECTRONS 305 4.4.3 EXAMPLE
309 4.4.4 THRESHOLD BEHAVIOUR OF LONIZATION CROSS SECTIONS 313 PROBLEMS
317 REFERENCES ... 321 SPECIAL TOPICS 325 5.1 MULTIPHOTON ABSORPTION
326 5.1.1 EXPERIMENTAL OBSERVATIONS ON MULTIPHOTON LONIZATION . 326
5.1.2 CALCULATING LONIZATION PROBABILITIES VIA VOLKOV STATES . . 330
5.1.3 CALCULATING LONIZATION PROBABILITIES VIA FLOQUET STATES . 333 5.2
CLASSICAL TRAJECTORIES AND WAVE PACKETS 336 XIV CONTENTS 5.2.1 PHASE
SPACE DENSITIES 5.2.2 COHERENT STATES 337 ^ 2 3 COH ERENT WAVE
PACKETS IN REAL SYSTEMS. W 5-3 REGUL AR AND CHAOTIC DYNAMICS IN ATOMS
... * 5.3.1 CHAOS IN CLASSICAL MECHANICS . FJ. 5.3.2 TRACES OF CHAOS IN
QUANTUM MECHANICS . . . SSS 5-3.3 SEMICLASSICAL PERIODIC ORBIT THEORY
,$ 5 3.5 E ^ L E ^ ^ ** ^ * ^ ^ ^ * * * * * * * ^ 5.4
BOSE-EINSTEIN CONDENSATION IN ATOMIC GASES . . ?J? 5 4 2 S R P R F F ^
1 0 8 F FERMI NS AND B O ^ *** * * 392 5.4.2 THE EFFECT OF
INTERACTIONS IN BOSE-EINSTEIN CONDENSATES 396 S S D B SE - EINSTEIN
CONDENSATION IN ATOMIC 5.5 SOME ASPECTS OF ATOM OPTICS 40 5.5.1
ATOM-WALL INTERACTIONS ..... 402 5.5.2 EVANESCENT-WAVE MIRRORS... 404
5.5.3 QUANTUM REFLECTION 411 PROBLEMS 416 REFERENCES 428 431 A SPECIAL
MATHEMATICAL FUNCTIONS A.1 LEGENDRE POLYNOMIALS, SPHERICAL
HARMO NICS. . . . ^ A.2 LAGUERRE POLYNOMIALS 439 A.3 GAMMA FUNCTION ..
441 A.4 BESSEL FUNCTIONS 442 I ~ R M ^ C * MB ^ - * * * : * *
* * :::::::::: 447 SOLUTIONS TO THE PROBLEMS REFERENCES 449 495 EX
497
|
| adam_txt |
CONTENTS 1 REVIEW OF QUANTUM MECHANICS 1 1.1 WAVE FUNCTIONS AND
EQUATIONS OF MOTION 1 1.1.1 STATES AND WAVE FUNCTIONS 1 1.1.2 LINEAR
OPERATORS AND OBSERVABLES 3 1.1.3 THE HAMILTONIAN AND EQUATIONS OF
MOTION 7 1.2 SYMMETRIES 9 1.2.1 CONSTANTS OF MOTION AND SYMMETRIES 9
1.2.2 THE RADIAL SCHROEDINGER EQUATION 12 1.2.3 EXAMPLE: THE RADIALLY
SYMMETRIE HARMONIE OSCILLATOR 14 1.3 BOUND STATES AND UNBOUND STATES 16
1.3.1 BOUND STATES 16 1.3.2 UNBOUND STATES 19 1.3.3 EXAMPLES 23 1.3.4
NORMALIZATION OF UNBOUND STATES 28 1.4 PROCESSES INVOLVING UNBOUND
STATES 30 1.4.1 WAVE PACKETS 30 1.4.2 TRANSMISSION AND REFLECTION 33
1.4.3 TIME DELAYS AND SPACE SHIFTS 35 1.5 RESONANCES AND CHANNELS 40
1.5.1 CHANNELS 41 1.5.2 FESHBACH RESONANCES 43 1.5.3 POTENTIAL
RESONANCES 48 1.6 METHODS OF APPROXIMATION 50 1.6.1 TIME-INDEPENDENT
PERTURBATION THEORY 50 1.6.2 RITZ'S VARIATIONAL METHOD 54 1.6.3
SEMICLASSICAL APPROXIMATION 57 1.6.4 INVERSE POWER-LAW POTENTIALS 67 1.7
ANGULAR MOMENTUM AND SPIN 72 1.7.1 ADDITION OF ANGULAR MOMENTA 74 1.7.2
SPIN 75 1.7.3 SPIN-ORBIT COUPLING 77 XII CONTENTS PROBLEMS REFERENCES 79
83 2 ATOMS AND IONS 2.1 ONE-ELECTRON SYSTEMS 85 2.1.1 THE HYDROGEN ATOM
85 2.1.2 HYDROGENIC IONS 85 2.1.3 THE DIRAC EQUATION 87 2-2 M A T ^ O ^
93 2-2.1 THE HAMILTONIAN . 95 2 2 2% 2 LT\H^ P L E "^ SKTER DE TERMIN A
NTS .'.'::.'.'.' F 6 2.2.3 THE SHELL STRUCTURE OF ATOMS * 2.3 THE
7V-ELECTRON PROBLEM 103 2.3.1 THE HARTREE-FOCK METHOD 107 2 3'? SRSF L 0
N S "^ CONFI ^ATION INTERACTION'.'.'.'.' N 2? 2.3.3 THE THOMAS-FERMI
MODEL 2.3.4 DENSITY FUNCTIONAL METHODS .' !!F 2.4 ELECTROMAGNETIC
TRANSITIONS 118 L'T'L ^ AN S, TI0NS IN GENERAL " GOLDE » RULE»".'.'.'
!O? 2.4.2 THE ELECTROMAGNETIC FIELD 2.4.3 INTERACTION BETWEEN ATOM AND
FIELD .'.' 7 JJ 2.4.4 EMISSIO N AND ABSORPTION OF PHOTONS !?? 2.4.5
SELECTION RULES 130 PROB,*. 0SD ; IATOT A "* H S : ^ R " - ; *' *' *'
*':.' *' *'.'::::::::::: LI REFERENCES 140 142 ATOMIC SPECTRA 3-1
LONG-RANGED AND SHORTER^RANGED POTENTIALS .'.'.' \ T 3.1.1
VERY-LONG-RANGED POTENTIALS . \F R 3.1.2 SHORTER-RANGED POTENTIALS .
7Z MANV 1 ^" 1 ^^ 0111 " FLNITE NUMBER T0 IN ^TELY " MANY BOUND STATES,
IN VERSE-SQUARE TAILS . 152 3 2 N I R P ^ ^ D DIPOLE SERIES IN THE
H~ ION IS 3.2 ONE ELECTRON M A MODIFIED COULOMB POTENTIAL ^ 3.2.1
RYDBERG SERIES, QUANTUM DEFECTS . 77. T C Y 8 T H E R E M ' NE -
CHANNEL QUANTUM DEFECT 3 3 R ^ I P H TOABSOR P TIO N UND
PHOTOIONIZATION .'.'.' !IJ 3.3 COUPLED CHANNELS 172 3.3.1 CLOSE-COUPLING
EQUATIONS .'.'.' )TL 3.3.2 AUTOIONIZING RESONANCES 3.3.3
CONFIGURATION INTERACTION, INTERFERENCE'OF RESONANCES'.'.' M CONTENTS
XIII 3.3.4 PERTURBED RYDBERG SERIES 191 3.4 MULTICHANNEL QUANTUM DEFECT
THEORY (MQDT) 193 3.4.1 TWO COUPLED COULOMB CHANNELS 193 3.4.2 THE
LU-FANO PLOT 200 3.4.3 MORE THAN TWO CHANNELS 203 3.5 ATOMS IN EXTERNAL
FIELDS 211 3.5.1 ATOMS IN A STATIC, HOMOGENEOUS ELECTRIC FIELD 212 3.5.2
ATOMS IN A STATIC, HOMOGENEOUS MAGNETIC FIELD 219 3.5.3 ATOMS IN AN
OSCILLATING ELECTRIC FIELD 232 PROBLEMS 235 REFERENCES 239 SIMPLE
REACTIONS 243 4.1 ELASTIC SCATTERING 243 4.1.1 ELASTIC SCATTERING BY A
SHORTER-RANGED POTENTIAL 243 4.1.2 MEAN SCATTERING LENGTHS 254 4.1.3
NEAR-THRESHOLD FESHBACH RESONANCES 257 4.1.4 SEMICLASSICAL DESCRIPTION
OF ELASTIC SCATTERING 259 4.1.5 ELASTIC SCATTERING BY A PURE COULOMB
POTENTIAL 265 4.1.6 ELASTIC SCATTERING BY A MODIFIED COULOMB POTENTIAL,
DWBA 268 4.1.7 FESHBACH PROJECTION. OPTICAL POTENTIAL 271 4.2 SPIN AND
POLARIZATION 273 4.2.1 CONSEQUENCES OF SPIN-ORBIT COUPLING 273 4.2.2
APPLICATION TO GENERAL PURE SPIN STATES 276 4.2.3 APPLICATION TO MIXED
SPIN STATES 279 4.3 INELASTIC SCATTERING 281 4.3.1 GENERAL FORMULATION
281 4.3.2 COUPLED RADIAL EQUATIONS 287 4.3.3 THRESHOLD EFFECTS 292 4.3.4
AN EXAMPLE 295 4.4 EXIT CHANNELS WITH TWO UNBOUND ELECTRONS 298 4.4.1
GENERAL FORMULATION 298 4.4.2 APPLICATION TO ELECTRONS 305 4.4.3 EXAMPLE
309 4.4.4 THRESHOLD BEHAVIOUR OF LONIZATION CROSS SECTIONS 313 PROBLEMS
317 REFERENCES . \ 321 SPECIAL TOPICS 325 5.1 MULTIPHOTON ABSORPTION
326 5.1.1 EXPERIMENTAL OBSERVATIONS ON MULTIPHOTON LONIZATION . 326
5.1.2 CALCULATING LONIZATION PROBABILITIES VIA VOLKOV STATES . . 330
5.1.3 CALCULATING LONIZATION PROBABILITIES VIA FLOQUET STATES . 333 5.2
CLASSICAL TRAJECTORIES AND WAVE PACKETS 336 XIV CONTENTS 5.2.1 PHASE
SPACE DENSITIES 5.2.2 COHERENT STATES 337 ^ 2 ' 3 COH ERENT WAVE
PACKETS'IN REAL SYSTEMS.' W 5-3 REGUL AR AND CHAOTIC DYNAMICS IN ATOMS
. * 5.3.1 CHAOS IN CLASSICAL MECHANICS . FJ. 5.3.2 TRACES OF CHAOS IN
QUANTUM MECHANICS .'.'.' SSS 5-3.3 SEMICLASSICAL PERIODIC ORBIT THEORY
,$ 5 3.5 E ^ L E ^ ^ ** ^ * ^ ^ ^ *' *' *' * " * " *' *' ^ 5.4
BOSE-EINSTEIN CONDENSATION IN ATOMIC GASES'.'.' ?J? 5'4 2 S R P R F F ^
1 0 8 F FERMI NS AND B O ^ ' ***'*'* 392 5.4.2 THE EFFECT OF
INTERACTIONS IN BOSE-EINSTEIN CONDENSATES 396 S S D B SE - EINSTEIN
CONDENSATION IN ATOMIC 5.5 SOME ASPECTS OF ATOM OPTICS 40 5.5.1
ATOM-WALL INTERACTIONS .' 402 5.5.2 EVANESCENT-WAVE MIRRORS. 404
5.5.3 QUANTUM REFLECTION 411 PROBLEMS 416 REFERENCES 428 431 A SPECIAL
MATHEMATICAL FUNCTIONS A.1 LEGENDRE POLYNOMIALS, SPHERICAL
HARMO'NICS.'.'.'.' ^ A.2 LAGUERRE POLYNOMIALS 439 A.3 GAMMA FUNCTION .
441 A.4 BESSEL FUNCTIONS 442 I ~ R M ^ C * MB ^ - * ' * ' *': * ' *
' * ' *':::::::::: 447 SOLUTIONS TO THE PROBLEMS REFERENCES 449 495 EX
497 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Friedrich, Harald 1947-2017 |
| author_GND | (DE-588)11819738X |
| author_facet | Friedrich, Harald 1947-2017 |
| author_role | aut |
| author_sort | Friedrich, Harald 1947-2017 |
| author_variant | h f hf |
| building | Verbundindex |
| bvnumber | BV020851842 |
| classification_rvk | UM 2000 |
| classification_tum | PHY 500f |
| ctrlnum | (OCoLC)612668678 (DE-599)BVBBV020851842 |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 3. ed. |
| format | Book |
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| id | DE-604.BV020851842 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:20:08Z |
| indexdate | 2024-07-09T20:26:38Z |
| institution | BVB |
| isbn | 9783540256441 354025644X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014173538 |
| oclc_num | 612668678 |
| open_access_boolean | |
| owner | DE-20 DE-91G DE-BY-TUM DE-703 DE-19 DE-BY-UBM |
| owner_facet | DE-20 DE-91G DE-BY-TUM DE-703 DE-19 DE-BY-UBM |
| physical | XIV, 506 S. graph. Darst. 235 mm x 155 mm, 760 gr. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Springer |
| record_format | marc |
| spelling | Friedrich, Harald 1947-2017 Verfasser (DE-588)11819738X aut Theoretical atomic physics Harald Friedrich 3. ed. Berlin [u.a.] Springer 2006 XIV, 506 S. graph. Darst. 235 mm x 155 mm, 760 gr. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Theoretische Physik (DE-588)4117202-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Atomphysik (DE-588)4003423-9 gnd rswk-swf Atomphysik (DE-588)4003423-9 s Quantenmechanik (DE-588)4047989-4 s DE-604 Theoretische Physik (DE-588)4117202-4 s 1\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014173538&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Friedrich, Harald 1947-2017 Theoretical atomic physics Theoretische Physik (DE-588)4117202-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Atomphysik (DE-588)4003423-9 gnd |
| subject_GND | (DE-588)4117202-4 (DE-588)4047989-4 (DE-588)4003423-9 |
| title | Theoretical atomic physics |
| title_auth | Theoretical atomic physics |
| title_exact_search | Theoretical atomic physics |
| title_exact_search_txtP | Theoretical atomic physics |
| title_full | Theoretical atomic physics Harald Friedrich |
| title_fullStr | Theoretical atomic physics Harald Friedrich |
| title_full_unstemmed | Theoretical atomic physics Harald Friedrich |
| title_short | Theoretical atomic physics |
| title_sort | theoretical atomic physics |
| topic | Theoretische Physik (DE-588)4117202-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Atomphysik (DE-588)4003423-9 gnd |
| topic_facet | Theoretische Physik Quantenmechanik Atomphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014173538&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT friedrichharald theoreticalatomicphysics |