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Quantum Simulation

Approximate solutions for N-body Hamiltonians with identical particles in D dimensions

arXiv

Authors: C. Semay, C. Roland

Year

2013

Paper ID

33619

Status

Preprint

Abstract Read

~2 min

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Abstract

A method based on the envelope theory is presented to compute approximate solutions for N-body Hamiltonians with identical particles in D dimensions $Dge 2$. In some favorable cases, the approximate eigenvalues can be analytically determined and can be lower or upper bounds. An application to a N-body system with a minimal length is studied, and a semiclassical interpretation of the generic formula obtained for the eigenvalues is given.

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A method based on the envelope theory is presented to compute approximate solutions for N-body Hamiltonians with identical particles in D dimensions Dge 2.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1307.5158 [2] arXiv https://arxiv.org/abs/1307.5158 [3] Publisher https://arxiv.org/abs/1307.5158

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