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Coupled harmonic oscillator systems: Improved algebraic decoupling approach.

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Title: Coupled harmonic oscillator systems: Improved algebraic decoupling approach.
Authors: Burrows, B. L.1 (AUTHOR) b.l.burrows@staffs.ac.uk, Cohen, M.2 (AUTHOR), Feldmann, Tova2 (AUTHOR)
Source: International Journal of Quantum Chemistry. 2003, Vol. 92 Issue 4, p345-354. 10p.
Abstract (English): 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 [ABSTRACT FROM AUTHOR]
Abstract (German): 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 [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Quantum Chemistry is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 19798376
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PubTypeId: academicJournal
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  Data: Coupled harmonic oscillator systems: Improved algebraic decoupling approach.
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  Data: <searchLink fieldCode="AR" term="%22Burrows%2C+B%2E+L%2E%22">Burrows, B. L.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> b.l.burrows@staffs.ac.uk</i><br /><searchLink fieldCode="AR" term="%22Cohen%2C+M%2E%22">Cohen, M.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Feldmann%2C+Tova%22">Feldmann, Tova</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Quantum+Chemistry%22">International Journal of Quantum Chemistry</searchLink>. 2003, Vol. 92 Issue 4, p345-354. 10p.
– Name: Abstract
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  Data: 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 [ABSTRACT FROM AUTHOR]
– Name: Abstract
  Label: Abstract (German)
  Group: Ab
  Data: 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 [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of International Journal of Quantum Chemistry is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1002/qua.10521
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            NameFull: Cohen, M.
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              Text: 2003
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