The short-wavelength approximation to the Schrödinger equation-Reference-Cited by-同舟云学术

The short-wavelength approximation to the Schrödinger equation

Published:1965-01 Issue:2 Volume:35 Page:599-632
ISSN:0029-6341
Container-title:Il Nuovo Cimento
language:en
Short-container-title:Nuovo Cim

Author:

Bertocchi L.,Fubini S.,Furlan G.

Publisher

Springer Science and Business Media LLC

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Link

http://link.springer.com/content/pdf/10.1007/BF02735340.pdf

Reference15 articles.

1. This technique was first applied to a Schördinger-like equation byH. Jeffreys:Proc. Math. Soc. London,23, 428 (1923) and to quantum mechanics byL. Brillouin:Compt. Rend.,183, 24 (1926);G. Wentzel (ref. (3)) andH. A. Kramers:Zeits. f. Phys.,39, 828 (1926). For a mathematical discussion of the argument seeA. Erdelyi:Asymptotic Expansions (New York, 1956), andF. Tricomi:Equazioni differenziali, 3rd ed. (Torino, 1960). In particular the paper we discuss in the following is byR. E. Langer:Trans. Amer. Math. Soc.,67, 461 (1949).

2. For a complete discussion of this method seeE. C. Kemble:The Fundamental Principles of Quantum Mechanics (New York, 1958).

3. G. Wentzel:Zeits. f. Phys.,38, 518 (1926).

4. L. Dunham:Phys. Rev.,41, 713 (1932).

5. E. C. Kemble:Phys. Rev.,48, 549 (1935).

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