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Open Quantum Systems Decoherence
Quantum Simulation
Principles of Fractional Quantum Mechanics
arXiv
Authors: Nick Laskin
Year
2010
Paper ID
11094
Status
Preprint
Abstract Read
~2 min
Abstract Words
94
Citations
N/A
Abstract
A review of fundamentals and physical applications of fractional quantum mechanics has been presented. Fundamentals cover fractional Schrödinger equation, quantum Riesz fractional derivative, path integral approach to fractional quantum mechanics, hermiticity of the Hamilton operator, parity conservation law and the current density. Applications of fractional quantum mechanics cover dynamics of a free particle, new representation for a free particle quantum mechanical kernel, infinite potential well, bound state in δ-potential well, linear potential, fractional Bohr atom and fractional oscillator. We also review fundamentals of the Lévy path integral approach to fractional statistical mechanics.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- A review of fundamentals and physical applications of fractional quantum mechanics has been presented.
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