Unitary transformation for four harmonically coupled identical oscillators
- 1 October 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 42 (7) , 4377-4380
- https://doi.org/10.1103/physreva.42.4377
Abstract
A unitary operator U, which can transform the Fock space of a four-dimensional oscillator into the space in which the Hamiltonian of four harmonically coupled identical one-dimensional harmonic oscillators is diagonalized, is found. The coordinate representation of U is presented and is used to directly derive the wave function of the energy eigenstate of the coupled oscillators. The normally ordered form of U is also deduced with the use of integration within an ordered product.Keywords
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