Nonadiabatic Geometrical Phase during Cyclic Evolution of a Gaussian Wave Packet
Journal Article
·
· Physical Review Letters
- Physical and Theoretical Chemistry Laboratory, South Parks Road, Oxford OX1 3QZ (United Kingdom)
The Gaussian wave packet solution to the Schr{umlt o}dinger equation is studied for time-dependent Hamiltonians. The geometrical phase is obtained for a cyclic wave packet solution of the generalized harmonic oscillator with a nonadiabatic time-periodic Hamiltonian. It is found that the geometrical phase is independent of {h_bar}, and is equal to one-half of the classical nonadiabatic Hannay angle. The Hannay angle is shown to be independent of the classical action and does not involve averaging. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 477046
- Journal Information:
- Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 13 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
- Country of Publication:
- United States
- Language:
- English
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