Theory of quanta / Iwo Bialynicki-Birula, Marek Cieplak, Jerzy Kaminski

Author(s): Białynicki-Birula, Iwo
Location:
Retrieving Holdings Information
Subjects: Quantum theory
Wave mechanics
Schrödinger equation
Formats: Print
Material Type: Books
Language: English, Polish (translated from)
Audience: Unspecified
Published: New York : Oxford University Press, 1992
LC Classification: Q, QC
Physical Description: xi, 494 p. : ill. ; 24 cm
Table of Contents: I. Introduction
1. The Birth of Quantum Theory 3
2. Classical Physics - Quantum Physics 25
II. Schrodinger's Equation and the Interpretation of Its Solutions
3. Schrodinger's Equation 37
4. The Probabilistic Interpretation of the Wavefunction 46
5. The Motion of a Free Particle in Wave Mechanics 51
6. The Momentum of a Particle and the Fourier Transform of the Wavefunction 61
7. Description of Experiments in Wave Mechanics and the Heisenberg Uncertainty Principle 68
8. A Charged Particle in an Electromagnetic Field 80
9. The Hydrodynamic Formulation of Wave Mechanics 87
10. The Spin of the Electron and Pauli's Equation 95
11. The Hydrodynamic Picture of Wave Mechanics of a Particle with Spin 105
12. Ehrenfest Equations 112
13. Description of Particle Motion in Phase Space - Wigner's Function 116
14. Mixed States 123
III. Solutions of Schrodinger's Equation
15. Classification of Solutions to Schrodinger's Equation 133
16. Bound States and Energy Levels 148
17. Scattering States and Collision Cross-Sections 159
18. Partial Waves and Wave Effects in Scattering 186
19. Resonance States 198
20. The Coulomb Potential 205
21. The Harmonic Oscillator 220
22. A Uniform Magnetic Field 237
23. Particle Motion in a Bounded Region 248
24. Motion in a Field of Spatially Periodic Forces 256
IV. Approximation Methods of Solving the Schrodinger Equation
25. The Classical Limit of Wave Mechanics and the WKB Method 275
26. Numerical Solutions of Schrodinger's Equation 295
27. Perturbation Theory for the Time-Independent Schrodinger Equation 303
28. Application of Perturbation Theory: The Zeeman and Stark Effects 317
29. Time-Dependent Perturbations 327
30. Induced Emission and Absorption of Radiation 343
31. Spontaneous Emission 353
V. Relativistic Wave Mechanics
32. The Klein-Gordon Equation 363
33. Dirac's Equation 369
34. The Nonrelativistic Limit of the Dirac Equation 382
VI. The Wave Mechanics of Many-Particle Systems
35. Schrodinger's Equation for Systems of Many Particles 397
36. Connection Between Spin and Statistics 407
37. The Hartree-Fock and Thomas-Fermi Equations 417
VII. Conclusion
38. Afterword 431
Physical Appendices
P1: The Equations of Hydrodynamics 437
P2: Properties of Selected Particles 438
P3: Lorentz Transformations 438
Mathematical Appendices
M1: Method of Separating Variables and Systems of Orthogonal Curvilinear Coordinates 443
M2: The Stationary Phase Method 450
M3: Hermite Polynomials 453
M4: The Hypergeometric Function 455
M5: The Confluent Hypergeometric Function 457
M6: Legendre Polynomials and Associated Functions 459
M7: Spherical Harmonics 462
M8: Bessel Functions 466
M9: Spherical Bessel Functions 469
M10: Laguerre Polynomials 471
M11: Useful Formulas 473
References 476
Further Reading 490
Index 491
Alternate Title(s): Teoria kwantów.
Additional Authors: Cieplak, Marek
Kaminski, Jerzy
Notes: LCCN: 91047526
ISBN: 0195071573 (alk. paper) :$49.95
Translation of: Teoria kwantów
"Anna M. Furdyna did an insightful translation into English"--Pref
Includes bibliographical references and index
OCLC Number: 25049910
ISBN/ISSN: 0195071573