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Open Quantum Systems Decoherence Quantum Simulation

Quantum exotic: A repulsive and bottomless confining potential

arXiv

Authors: Miloslav Znojil

Year

2015

Paper ID

25904

Status

Preprint

Abstract Read

~2 min

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Abstract

On a simple model V(x,y)=A x²+B y²+C x^2y²+D $x^2y⁴+x^4y²$ we demonstrate that even in a classically repulsive regime i.e., at couplings which make the potential decreasing to $-infty$ in some directions quantum mechanics may still support the purely discrete spectrum of bound states. In our example, there exists a critical boundary of this domain of stability where a further increase of repulsion causes an explosive escape of particles in infinity.

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On a simple model V(x,y)=A x^2+B y^2+C x^2y^2+D (x^2y^4+x^4y^2) we demonstrate that even in a classically repulsive regime i.e., at couplings which make the potential...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1511.08885 [2] arXiv https://arxiv.org/abs/1511.08885 [3] Publisher https://arxiv.org/abs/1511.08885

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