Semiclassical mechanics for time-dependent Wigner functions
| ISSN: |
1089-7658
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|---|---|
| Source: |
AIP Digital Archive
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| Topics: |
Mathematics
Physics
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| Notes: |
An explicit and computable asymptotic integral representation is obtained for the time-dependent Wigner distribution associated with the initial quantum state ψ(x,0)=f(x) eiS(x)/(h-dash-bar) in the semiclassical ((h-dash-bar)→0) limit. The approximations are valid to arbitrarily high order in (h-dash-bar) over any finite time interval. The leading order term is further analyzed to obtain a classically determined phase space function which is related to a classical probability density on phase space. The results hold for a large class of time-dependent potentials.
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| Type of Medium: |
Electronic Resource
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| URL: |