Quantum oscillator in a heat bath
DSpace at IIT Bombay
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Title |
Quantum oscillator in a heat bath
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Creator |
VALLURPALLI, P
PANDEY, PK TEMBE, BL |
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Subject |
density-matrix evolution
molecular-dynamics simulation density matrix evolution vibrational spectrum quantum harmonic oscillator bi-exponential perturbation potential hellmann-feynman force runge kutta method molecular dynamics bath particles |
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Description |
In the present article, We use the density matrix evolution method to study the effect of a model solvent on the vibrational spectrum of a diatomic solute particle. The effect of the solvent is considered as a perturbation oil the Hamiltonian of the quantum subsystem consisting of a harmonic oscillator. The bath particles are treated classically. The perturbation potential representing the interaction between the solute and the solvent is represented in a bi-exponential form. This provides ail effective way to evaluate the required matrix elements needed to compute the evolution of the density matrix. The model calculations indicate that the repulsive parts of the potential dominate causing blue shifts in the vibrational frequencies.
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Publisher |
SPRINGER-VERLAG BERLIN
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Date |
2011-10-24T01:00:30Z
2011-12-15T09:11:21Z 2011-10-24T01:00:30Z 2011-12-15T09:11:21Z 2009 |
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Type |
Proceedings Paper
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Identifier |
COMPUTATIONAL SCIENCE - ICCS 2009,5545,197-202
978-3-642-01972-2 0302-9743 http://dspace.library.iitb.ac.in/xmlui/handle/10054/15289 http://hdl.handle.net/100/2011 |
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Source |
9th International Conference on Computational Science,Baton Rouge, LA,MAY 25-27, 2009
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Language |
English
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