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Coupled harmonic oscillator systems: Improved algebraic decoupling approach
Author(s) -
Burrows B. L.,
Cohen M.,
Feldmann Tova
Publication year - 2003
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.10521
Subject(s) - harmonic oscillator , formalism (music) , decoupling (probability) , algebraic number , quantum mechanics , physics , bilinear interpolation , lattice (music) , anharmonicity , quantum , hamiltonian (control theory) , mathematical physics , mathematics , mathematical analysis , art , musical , mathematical optimization , engineering , visual arts , statistics , control engineering , acoustics
We present a novel explicit decoupling procedure that leads to exact solutions of the Schrödinger equation for N harmonic oscillators in the presence of general bilinear perturbing potentials. This generalizes previous work, which was restricted to orthogonal transformations with conditions imposed on the perturbing terms. It is shown that the formalism is sufficiently general to embrace both stationary‐state and resonance‐state problems and, in particular, we include exact model calculations of a free electron interacting with a lattice and a discussion of an application to an ideal ion trap. © 2003 Wiley Periodicals, Inc. Int J Quantum Chem, 2003