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arxiv: 1802.00267 · v3 · pith:FQ7PY2ISnew · submitted 2018-02-01 · 🪐 quant-ph · cond-mat.stat-mech

Relaxation in Quantum Systems

classification 🪐 quant-ph cond-mat.stat-mech
keywords dissipativeequationparticlequantumrelaxationcasescausingcollapse
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A new discrete model for energy relaxation of a quantum particle is described via a projection operator, causing the wave function collapse. Power laws for the evolution of the particle coordinate and momentum dispersions are derived. A new dissipative Schrodinger equation is proposed and solved for particular cases. A new dissipative Liouville equation is heuristically constructed.

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