Ground and excited states of one-dimensional self-interacting nonlinear oscillators through time-dependent quantum mechanics

Wadehra, Amita ; Roy, Amlan K. ; Deb, B. M. (2003) Ground and excited states of one-dimensional self-interacting nonlinear oscillators through time-dependent quantum mechanics International Journal of Quantum Chemistry, 91 (5). pp. 597-606. ISSN 0020-7608

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Official URL: http://onlinelibrary.wiley.com/doi/10.1002/qua.104...

Related URL: http://dx.doi.org/10.1002/qua.10472

Abstract

Energy eigenvalues, probability densities, and x2r values (r = 1 to 6) of one-dimensional self-interacting nonlinear oscillators have been obtained by evolving the time-dependent Schrodinger equation in imaginary time, coupled with the minimization of energy expectation values. For excited states, the orthogonality constraint with lower states is maintained. Probability density plots for the ground and first three excited states are presented. A comparison of energy eigenvalues and probability densities plots is also made between oscillators with and without self-interaction.

Item Type:Article
Source:Copyright of this article belongs to John Wiley and Sons, Inc.
Keywords:Diffusion Quantum Monte Carlo; Self-interacting Oscillators; Time-dependent Quantum Mechanics
ID Code:9257
Deposited On:29 Oct 2010 11:10
Last Modified:31 May 2011 04:33

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