WKB approximation for bound states by Heisenberg matrix mechanics

Journal Article · Sat Dec 31 23:00:00 EST 1977 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.523503· OSTI ID:5367271

Klein, A

The WKB approximation for bound states is derived from Heisenberg matrix mechanics. It is shown that the result can be obtained from the Bohr--Sommerfeld quantization of a suitably chosen solution of the classical equations of motion. It is also derived from the commutation relation and from a quantum form of Hamilton's variational principle.

• Research Organization: Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19174
• OSTI ID: 5367271
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 19:1; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOHR THEORY
BOUND STATE
COMMUTATION RELATIONS
MATRIX ELEMENTS
MECHANICS
QUANTUM MECHANICS
VARIATIONAL METHODS
WKB APPROXIMATION