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Open Quantum Systems Decoherence Quantum Simulation

Solving the Schrödinger Equation with Power Anharmonicity

arXiv

Authors: Vladimir B. Belyaev, Andrej Babič

Year

2014

Paper ID

47468

Status

Preprint

Abstract Read

~2 min

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Abstract

We present an application of a nonstandard approximate method---the finite-rank approximation---to solving the time-independent Schrödinger equation for a bound-state problem. The method is illustrated on the example of a three-dimensional isotropic quantum anharmonic oscillator with additive cubic or quartic anharmonicity. Approximate energy eigenvalues are obtained and convergence of the method is discussed.

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We present an application of a nonstandard approximate method---the finite-rank approximation---to solving the time-independent Schrödinger equation for a bound-state problem.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1409.5086 [2] arXiv https://arxiv.org/abs/1409.5086 [3] Publisher https://arxiv.org/abs/1409.5086

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