Propagation of Wave Packets for Systems Presenting Codimension One Crossings
Keyword(s):
AbstractWe analyze the propagation of wave packets through general Hamiltonian systems presenting codimension one eigenvalue crossings. The class of time-dependent Hamiltonians we consider is of general pseudodifferential form with subquadratic growth. It comprises Schrödinger operators with matrix-valued potential, as they occur in quantum molecular dynamics, but also covers matrix-valued models of solid state physics describing the motion of electrons in a crystal. We calculate precisely the non-adiabatic effects of the crossing in terms of a transition operator, whose action on coherent states can be spelled out explicitly.
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1985 ◽
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Vol 116
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pp. 303
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1960 ◽
Vol 26
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pp. 437-437