QUASI-CLASSICAL TRANSFORMATION THEORY

Journal Article · Thu Feb 01 04:00:00 EST 1962 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.125.1109· OSTI ID:4808612

Schiller, R

The quasi-classical theory is the theory of the WKB approximation as defined by Van Vleek. This approxiniate wave theory is invariant under canonieaI transformations. Transformation laws for wave functions and operators in this theory are derived. The connection problem of the ordinary configuration space is discussed from the point of view of Van Vleck. The usual niethod of WKB quantizatiopin is then contrasted with another method of quantization in a classie configuration space of creation and destruction operators. In this new configuration space it is foupind that, for some problenis, the quasi-classfcal soultions are exact solutions of the Schrodinger equation. Finally, it is shown that the canonical transformations of the quasi-classical theory may be put into one-to-one correspondence with a group of approximate unitary transforniations. (auth)

• Research Organization: Syracuse Univ., N.Y.
• NSA Number: NSA-16-010884
• OSTI ID: 4808612
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 125; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

CONFIGURATION
DIFFERENTIAL EQUATIONS
PARAMAGNETISM
PHYSICS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
VAN VLECK THEORY
WKB APPROXIMATION