IN-OUT FORMALISM FOR NONRELATIVISTIC QUANTUM MECHANICS
Nonrelativistic quantum mechanics with two-body interactions are discussed using an in-out operator formalism. The second quantized form of nonrelativistic quantum mechanics is outlined. The necessary conditions are determined to ensure that the field operators in the relativistic theory possess asymptotic forms. Appropriate definitions of the in and out operators are given:. It is pointed out that the limiting processes involved in defining the asymptotic operators cannot be uniformly convergent because of the invariance of the theory under time translation which introduces caution in the order of taking limits. Methods based on a suggestion by Zimmerman for finding the comunutation relations of the in and out operators are found. The definition and evaluation of the S matrix are given. The properties of nonrelativistic wave packets are discussed. (C.J.G.)
- Research Organization:
- Univ. of California, Berkeley, CA (United States)
- NSA Number:
- NSA-14-007926
- OSTI ID:
- 4184376
- Journal Information:
- Annals of Physics (New York) (U.S.), Vol. Vol: 9; Other Information: Orig. Receipt Date: 31-DEC-60
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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