Semiclassical approximations in wave mechanics

Reports on Progress in Physics

Volumn 35, Issue 1, 1972, Pages 315-397

  Berry, M V ^a   Mount, K E ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744584849     PISSN: 00344885     EISSN: None     Source Type: Journal    
DOI: 10.1088/0034-4885/35/1/306     Document Type: Article

References (218)

1. Estimating Sums with Integrals
2. The W.K.B. approximation as the first term of a geometric-optical series
3. Diffusion and Excitation Transfer of Metastable Helium in Normal Gaseous Helium
4. Diffraction and channeling
5. Curve-crossing and the WKB approximation
6. NOTE ON SECOND-ORDER W. K. B. PHASE SHIFTS
7. On the semi-classical description of molecular orbiting collisions
8. On the phase shift for orbiting collisions
9. Differential cross sections for chemically reactive systems
10. A critique of Zwaan-Stueckelberg phase integral techniques
11. An approximate treatment of shape resonances in elastic scattering
12. Some properties of bound and quasi-bound states for various interatomic potential functions
13. Asymptotic Expansions and Converging Factors. I. General Theory and Basic Converging Factors
14. Asymptotic Expansions and Converging Factors. II. Error, Dawson, Fresnel, Exponential, Sine and Cosine, and Similar Integrals
15. Asymptotic Expansions and Converging Factors. III. Gamma, Psi and Polygamma Functions, and Fermi-Dirac and Bose-Einstein Integrals
16. Path Integrals and Semiclassical Tunneling, Wavefunctions, and Energies
17. Diffraction channelling of fast electrons and positrons in crystals
18. A geometrical theory of diffraction
19. The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to the Stokes phenomenon
20. SOME PROBLEMS OF THE ELECTRON THEORY OF METALS I. CLASSICAL AND QUANTUM MECHANICS OF ELECTRONS IN METALS
21. Semiclassical Theory of the Three-Turning-Point Problem
22. Uniform asymptotic expansions at a caustic
23. Uniform Asymptotic Expansion of the Field Scattered by a Convex Object at High Frequencies
24. The Relation between the Wentzel-Kramers-Brillouin and the Thomas-Fermi Approximations
25. Free Paths and Transport Phenomena in Gases and the Quantum Theory of Collisions. I. The Rigid Sphere Model
26. Free Paths and Transport Phenomena in Gases and the Quantum Theory of Collisions. II. The Determination of the Laws of Force between Atoms and Molecules
27. The Passage of Positive Ions through Gases
28. The calculation of rainbow scattering cross sections
29. WKB Connection Formulas
30. Analysis of the Miller–Good Method for Approximating Bound States
31. Ray theory vs. normal mode theory in wave propagation problems
32. Quantisierung als Eigenwertproblem
33. Asymptotic Solutions for High-Frequency Trapped Wave Propagation
34. The Correspondence Principle in the Statistical Interpretation of Quantum Mechanics
35. Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles