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- W15411565 abstract "We consider an N-level quantum system (S) coupled to a Boson quantum field. The latter is described by the symmetric Fock space F built upon a Hilbert space H. The unitary dynamical evolution of this whole is specified by the Hamiltonian $$ {{rm H}^lambda } = 1 otimes F + dGamma left( h right) otimes 1 + lambda Qleft( xi right) otimes V, $$(1)on the tensor product F⊗V, where V=ℂN is the Hilbert space of S. Here, F (a selfadjoint operator acting on V) is the free Hamiltonian for S, dΓ(h) is the second-quantization of a strictly positive selfadjoint operator h (defined on H) and describes the free evolution of the field, Q(sd) is the field operator given by ( Q(f) = left( {a(f) + a*(f)} right)/sqrt {{2,}} ), f∈HInline), where a(sd) (resp. a*(.)) is the usual annihilation (resp. creation) operator defined on F and satisfying [a(f),a*(g)] = 1 (where is the scalar product of H chosen linear in the second component), V is a selfadjoint operator acting on V, λ is the coupling constant, and finally ( xi in {rm H} ) is such that Hλ gives rise to a selfadjoint operator.* This Hamiltonian has been studied and used very often in diverse physical contexts; a well known version thereof involving finitely many field-modes ** is $$ {H^lambda } = 1 otimes F + sumlimits_{j = 1}^K {{omega _j}a_j^*{a_j}} otimes 1 + left( {lambda /sqrt 2 } right)sumlimits_{j = 1}^K {left( {{xi _j}a_j^* + {{bar xi }_j}{a_j}} right) otimes V,} $$where aj (resp. ( a_J^{*} )) is the familiar (harmonic oscillator) annihilation (resp. creation) operator associated with the j-th mode." @default.
- W15411565 created "2016-06-24" @default.
- W15411565 creator A5038494995 @default.
- W15411565 date "1986-01-01" @default.
- W15411565 modified "2023-09-27" @default.
- W15411565 title "N-Level Systems Interacting with Bosons: Semiclassical Limits" @default.
- W15411565 cites W1966996405 @default.
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- W15411565 doi "https://doi.org/10.1007/978-1-4684-5221-1_27" @default.
- W15411565 hasPublicationYear "1986" @default.
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