The Semiclassical Evolution of Wave Packets - INSPIRE

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The Semiclassical Evolution of Wave Packets

Robert G. Littlejohn
(
- LBL, Berkeley
)

Jun, 1985

182 pages

Published in:

Phys.Rept. 138 (1986) 193

DOI:

10.1016/0370-1573(86)90103-1

Report number:

LBL-19787

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Abstract: (Elsevier)

The theory of the semiclassical evolution of wave packets is developed as a version of WKB theory in phase space. Special attention is given to the transformation properties of wave packets, their Wigner functions, and their classical analogs under operations in phase space. A complete development of the Heisenberg and metaplectic operators is presented, including their interaction with the Wigner-Weyl formalism and the question of caustics. A metaplectically covariant wave packet propagator is presented and discussed. Finally, a group theoretical discussion of Gaussian wave packets is given.

inspirereview:I-b-1
QUANTUM MECHANICS: WAVE PACKET
APPROXIMATION: WKB approximation
PROPAGATOR: PHASE SPACE
APPROXIMATION: semiclassical

References(121)

Figures(0)

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