Unitary operator for an arbitrary number of coupled identical oscillators
- 1 March 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 47 (3) , 2379-2382
- https://doi.org/10.1103/physreva.47.2379
Abstract
In view of a recent paper [F. Michelot, Phys. Rev. A 45, 4271 (1992)] tackling the Hamiltonian of an arbitrary number of harmonically coupled oscillators, we present a coordinate representation of the unitary operator that can diagonalize the Hamiltonian. The normally ordered form of the unitary operator, which manifestly connects two Fock spaces associated with the uncoupled and coupled oscillators, is also derived by virtue of the technique of integration within an ordered product of operators.Keywords
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