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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Multi-Particle Quasi Exactly Solvable Difference Equations

arXiv
Authors: Satoru Odake, Ryu Sasaki

Year

2007

Paper ID

49453

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

Several explicit examples of multi-particle quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable multi-particle Hamiltonians, the Ruijsenaars-Schneider-van Diejen systems. These are difference analogues of the quasi exactly solvable multi-particle systems, the quantum Inozemtsev systems obtained by deforming the well-known exactly solvable Calogero-Sutherland systems. They have a finite number of exactly calculable eigenvalues and eigenfunctions. This paper is a multi-particle extension of the recent paper by one of the authors on deriving quasi exactly solvable difference equations of single degree of freedom.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • Several explicit examples of multi-particle quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0708.0716 [2] arXiv https://arxiv.org/abs/0708.0716 [3] Publisher https://arxiv.org/abs/0708.0716

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