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Open Quantum Systems Decoherence Quantum Simulation

Semi-relativistic wave-phase approximation for two-body spinless bound states in 1+1 dimensions

arXiv
Authors: K. -E. Thylwe, S. Belov

Year

2015

Paper ID

7910

Status

Preprint

Abstract Read

~2 min

Abstract Words

88

Citations

N/A

Abstract

An approximate quantum-mechanical two-body equation for spinless particles incorporating relativistic kinematics is derived. The derivation is based on the relativistic energy-momentum relation mc2+ε= sqrt{m2c4+p2c2}+V for each single particle, where mc2 is the particle rest mass energy, p its linear momentum, ε its dynamical energy, and V being the time-like vector interaction potential. The resulting two-body equation assumes rapid wave oscillations in a single, slowly varying potential well. A Bohr-Sommerfeld-type quantization condition is obtained. The approximation is compared to exact results for the harmonic potential.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • An approximate quantum-mechanical two-body equation for spinless particles incorporating relativistic kinematics is derived.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1508.02067 [2] arXiv https://arxiv.org/abs/1508.02067 [3] Publisher https://arxiv.org/abs/1508.02067

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