Principles of quantum mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Plenum Press
1994
|
| Ausgabe: | 2. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 676 S. graph. Darst. |
| ISBN: | 0306447908 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804124219253981184 |
|---|---|
| adam_text | PRINCIPLES OF QUANTUM MECHANICS I SECOND EDITION T R. SHANKAR YALE
UNIVERSITY I NEW HAVEN, CONNECTICUT KLUWER ACADEMIC /PLENUM PUBLISHERS
NEW YORK, BOSTON, DORDRECHT, LONDON, MOSCOW CONTENTS MATHEMATICAL
INTRODUCTION 1 1.1. LINEAR VECTOR SPACES: BASICS 1 1.2. INNER PRODUCT
SPACES 7 1.3. DUAL SPACES AND THE DIRAC NOTATION 11 1.4. SUBSPACES 17
1.5. LINEAR OPERATORS 18 1.6. MATRIX ELEMENTS OF LINEAR OPERATORS 20
1.7. ACTIVE AND PASSIVE TRANSFORMATIONS 29 1.8. THE EIGENVALUE PROBLEM
30 1.9. FUNCTIONS OF OPERATORS AND RELATED CONCEPTS 54 1.10.
GENERALIZATION TO INFINITE DIMENSIONS 57 REVIEW OF CLASSICAL MECHANICS
75 2.1. THE PRINCIPLE OF LEAST ACTION AND LAGRANGIAN MECHANICS . . . 78
2.2. THE ELECTROMAGNETIC LAGRANGIAN 83 2.3. THE TWO-BODY PROBLEM 85 2.4.
HOW SMART IS A PARTICLE? 86 2.5. THE HAMILTONIAN FORMALISM 86 2.6. THE
ELECTROMAGNETIC FORCE IN THE HAMILTONIAN SCHEME . . . . 90 2.7. CYCLIC
COORDINATES, POISSON BRACKETS, AND CANONICAL TRANSFORMATIONS 91 2.8.
SYMMETRIES AND THEIR CONSEQUENCES 98 ALL IS NOT WELL WITH CLASSICAL
MECHANICS 107 3.1. PARTICLES AND WAVES IN CLASSICAL PHYSICS 107 3.2. AN
EXPERIMENT WITH WAVES AND PARTICLES (CLASSICAL) 108 3.3. THE
DOUBLE-SLIT EXPERIMENT WITH LIGHT 110 ;|3.4. MATTER WAVES (DE BROGLIE
WAVES) 112 *3.5. CONCLUSIONS 112 XV XVI 4. THE POSTULATES*A GENERAL
DISCUSSION 115 CONTENTS 4.1. THE POSTULATES 115 4.2. DISCUSSION OF
POSTULATES I III 116 4.3. THE SCHRODINGER EQUATION (DOTTING YOUR I S AND
CROSSING YOUR FI S) 143 5. SIMPLE PROBLEMS IN ONE DIMENSION 151 5.1. THE
FREE PARTICLE 151 5.2. THE PARTICLE IN A BOX 157 5.3. THE CONTINUITY
EQUATION FOR PROBABILITY 164 5.4. THE SINGLE-STEP POTENTIAL: A PROBLEM
IN SCATTERING 167 5.5. THE DOUBLE-SLIT EXPERIMENT 175 5.6. SOME THEOREMS
176 6. THE CLASSICAL LIMIT 179 7. THE HARMONIC OSCILLATOR 185 7.1. WHY
STUDY THE HARMONIC OSCILLATOR? 185 7.2. REVIEW OF THE CLASSICAL
OSCILLATOR 188 7.3. QUANTIZATION OF THE OSCILLATOR (COORDINATE BASIS)
189 7.4. THE OSCILLATOR IN THE ENERGY BASIS 202 7.5. PASSAGE FROM THE
ENERGY BASIS TO THE X BASIS 216 8. THE PATH INTEGRAL FORMULATION OF
QUANTUM THEORY 223 8.1. THE PATH INTEGRAL RECIPE 223 8.2. ANALYSIS OF
THE RECIPE 224 8.3. AN APPROXIMATION TO U(T) FOR THE FREE PARTICLE 225
8.4. PATH INTEGRAL EVALUATION OF THE FREE-PARTICLE PROPAGATOR.... 226
8.5. EQUIVALENCE TO THE SCHRODINGER EQUATION 229 8.6. POTENTIALS OF THE
FORM V=A + BX + CX 2 + DX + EXX 231 9. THE HEISENBERG UNCERTAINTY
RELATIONS 237 9.1. INTRODUCTION 237 9.2. DERIVATION OF THE UNCERTAINTY
RELATIONS 237 9.3. THE MINIMUM UNCERTAINTY PACKET 239 9.4. APPLICATIONS
OF THE UNCERTAINTY PRINCIPLE 241 9.5. THE ENERGY-TIME UNCERTAINTY
RELATION 245 10. SYSTEMS WITH A DEGREES OF FREEDOM 247 10.1. N
PARTICLES IN ONE DIMENSION 247 10.2. MORE PARTICLES IN MORE DIMENSIONS
259 10.3. IDENTICAL PARTICLES 260 IES AND THEIR CONSEQUENCES 279 *11.1.
OVERVIEW 279 I 11.2. TRANSLATIONAL INVARIANCE IN QUANTUM THEORY 279 *
11.3. TIME TRANSLATIONAL INVARIANCE 294 11.4. PARITY INVARIANCE 297
11.5. TIME-REVERSAL SYMMETRY 301 ROTATIONAL INVARIANCE AND ANGULAR
MOMENTUM 305 12.1 . TRANSLATIONS IN TWO DIMENSIONS 305 12.2. ROTATIONS
IN TWO DIMENSIONS 306 12.3. THE EIGENVALUE PROBLEM OF L, 313 12.4.
ANGULAR MOMENTUM IN THREE DIMENSIONS 318 12.5. THE EIGENVALUE PROBLEM OF
L 2 AND L : 321 12.6. SOLUTION OF ROTATIONALLY INVARIANT PROBLEMS 339
THE HYDROGEN ATOM 353 13.1. THE EIGENVALUE PROBLEM 353 13.2. THE
DEGENERACY OF THE HYDROGEN SPECTRUM 359 13.3. N U M E R I C A L E S T
I M A T E S A N D C O M P A R I S O N W I T H E X P E R I M E N T . . .
. 361 13.4. MULTIELECTRON ATOMS AND THE PERIODIC TABLE 369 SPIN 373
14.1. INTRODUCTION 373 14.2. WHAT IS THE NATURE OF SPIN? 373 14.3.
KINEMATICS OF SPIN 374 14.4. SPIN DYNAMICS 385 14.5. RETURN OF ORBITAL
DEGREES OF FREEDOM 397 S ADDITION OF ANGULAR MOMENTA 403 * 15.1. A
SIMPLE EXAMPLE 403 15.2. THE GENERAL PROBLEM 408 * 15.3. IRREDUCIBLE
TENSOR OPERATORS 416 . 15.4. EXPLANATION OF SOME ACCIDENTAL
DEGENERACIES 421 VARIATIONAL AND WKB METHODS 429 16.1. THE VARIATIONAL
METHOD 429 16.2. THE WENTZEL-KRAMERS-BRILLOUIN METHOD 435
TIME-INDEPENDENT PERTURBATION THEORY 451 17.1. THE FORMALISM 451 17.2.
SOME EXAMPLES 454 17.3. DEGENERATE PERTURBATION THEORY 464 XVII CONTENTS
XVIII 18. TIME-DEPENDENT PERTURBATION THEORY 473 CONTENTS 18.1. THE
PROBLEM 473 18.2. FIRST-ORDER PERTURBATION THEORY 474 18.3. HIGHER
ORDERS IN PERTURBATION THEORY 484 18.4. A GENERAL DISCUSSION OF
ELECTROMAGNETIC INTERACTIONS . . . . 492 18.5. INTERACTION OF ATOMS WITH
ELECTROMAGNETIC RADIATION . . . . 499 19. SCATTERING THEORY 523 19.1.
INTRODUCTION 523 19.2. RECAPITULATION OF ONE-DIMENSIONAL SCATTERING AND
OVERVIEW . 524 19.3. THE BORN APPROXIMATION (TIME-DEPENDENT DESCRIPTION)
. . . 529 19.4. BORN AGAIN (THE TIME-INDEPENDENT APPROXIMATION) 534
19.5. THE PARTIAL WAVE EXPANSION 545 19.6. TWO-PARTICLE SCATTERING 555
20. THE DIRAC EQUATION 563 20.1. THE FREE-PARTICLE DIRAC EQUATION 563
20.2. ELECTROMAGNETIC INTERACTION OF THE DIRAC PARTICLE 566 20.3. MORE
ON RELATIVISTIC QUANTUM MECHANICS 574 21. PATH INTEGRALS*II 581 21.1.
DERIVATION OF THE PATH INTEGRAL 582 21.2. IMAGINARY TIME FORMALISM 613
21.3. SPIN AND FERMION PATH INTEGRALS 636 21.4. SUMMARY 652 APPENDIX 655
A.I. MATRIX INVERSION 655 A.2. GAUSSIAN INTEGRALS 659 A.3. COMPLEX
NUMBERS 660 A.4. THE IS PRESCRIPTION 661 ANSWERS TO SELECTED EXERCISES
665 TABLE OF CONSTANTS 669 INDEX 671
|
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| indexdate | 2024-07-09T17:42:11Z |
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| language | English |
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| spelling | Shankar, Ramamurti Verfasser aut Principles of quantum mechanics R. Shankar 2. ed. New York u.a. Plenum Press 1994 XVIII, 676 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Kwantummechanica gtt Quantentheorie Quantum theory Mathematik (DE-588)4037944-9 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Schrödinger-Gleichung (DE-588)4053332-3 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s DE-604 Mathematik (DE-588)4037944-9 s 1\p DE-604 Schrödinger-Gleichung (DE-588)4053332-3 s 2\p DE-604 Quantentheorie (DE-588)4047992-4 s 3\p DE-604 Vektorrechnung (DE-588)4062471-7 s 4\p DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006530241&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 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
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| title | Principles of quantum mechanics |
| title_auth | Principles of quantum mechanics |
| title_exact_search | Principles of quantum mechanics |
| title_full | Principles of quantum mechanics R. Shankar |
| title_fullStr | Principles of quantum mechanics R. Shankar |
| title_full_unstemmed | Principles of quantum mechanics R. Shankar |
| title_short | Principles of quantum mechanics |
| title_sort | principles of quantum mechanics |
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