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On Complete Orthonormal Sets of Coherent and of Squeezed States
Author(s) -
YA. Baranov Leonid,
Levine Raphael D.
Publication year - 1991
Publication title -
israel journal of chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.908
H-Index - 54
eISSN - 1869-5868
pISSN - 0021-2148
DOI - 10.1002/ijch.199100046
Subject(s) - orthonormal basis , coherent states , orthogonality , orthonormality , basis (linear algebra) , coherent states in mathematical physics , set (abstract data type) , harmonic oscillator , product (mathematics) , chemistry , excited state , basis set , squeezed coherent state , quantum mechanics , statistical physics , physics , quantum , computational chemistry , mathematics , computer science , geometry , programming language , density functional theory
A complete set of harmonic oscillator orthogonal coherent states is discussed. The properties of the states are studied, in particular towards applications as a basis for nonstationary problems. To make such a basis even more flexible, an orthonormal set of squeezed states is introduced. These states share most of the properties that make the familiar coherent states useful in applications. They are also extremal states of the uncertainty product. Their particular advantage, beyond the obvious one of orthogonality, is in applications to the dynamics of excited states.