Wave-packet evolution and quantization

Journal Article · Mon May 12 04:00:00 EDT 1986 · Phys. Rev. Lett.; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.56.2000· OSTI ID:5522035

Littlejohn, R G

A general relationship is established between wave-packet evolution and quantization in classically integrable systems. Because of wave-packet spreading, one cannot simply take the Fourier transform of the time evolution of a wave packet. Instead, one must propagate the wave packet using the actions as Hamiltonians. The energy eigenvalues which result are the Einstein-Brillouin-Keller values, and new forms for the eigenfunctions appear. These are free of caustic singularities, and represent averages of wave packets over the invariant torus.

• Research Organization: Department of Physics, University of California, Berkeley, California 94720
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5522035
• Journal Information: Phys. Rev. Lett.; (United States), Journal Name: Phys. Rev. Lett.; (United States) Vol. 56:19; ISSN PRLTA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENFUNCTIONS
EIGENVALUES
FUNCTIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
MECHANICS
PROPAGATOR
QUANTIZATION
QUANTUM MECHANICS
QUANTUM OPERATORS
SEMICLASSICAL APPROXIMATION
WAVE PACKETS