Holomorphic representation of a set of supercoherent canonical coordinates for a quantum oscillator withanharmonicity
- 8 January 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 64 (2) , 111-114
- https://doi.org/10.1103/physrevlett.64.111
Abstract
The coupled-cluster method is widely applicable to quantum systems of interacting particles or fields. Such concepts as supercoherent states, generalized order parameters, and exact mappings onto corresponding multilocal classical field theories arise naturally within it, particularly in its extended version. Its holomorphic representation is applied here to the anharmonic oscillator, in order to demonstrate several key mathematical features.Keywords
This publication has 12 references indexed in Scilit:
- Extended coupled-cluster method. II. Excited states and generalized random-phase approximationPhysical Review A, 1987
- Extended coupled-cluster method. I. Generalized coherent bosonization as a mapping of quantum theory into classical Hamiltonian mechanicsPhysical Review A, 1987
- Higher-order squeezing from an anharmonic oscillatorPhysical Review A, 1987
- The Coupled Cluster MethodPhysics Today, 1987
- Impossibility of naively generalizing squeezed coherent statesPhysical Review D, 1984
- Variational principles and linked-cluster exp S expansions for static and dynamic many-body problemsAnnals of Physics, 1983
- Squeezed states of lightNature, 1983
- Anharmonic OscillatorPhysical Review B, 1969
- Short-range correlations in nuclear wave functionsNuclear Physics, 1960
- Bound states of a many-particle systemNuclear Physics, 1958