TL;DR
This paper introduces a fractional quantum potential derived from Kobelev's fractional calculus, applied to a Schrödinger-type equation, offering a novel approach to quantum mechanics using fractional derivatives.
Contribution
The work develops a fractional quantum potential using Kobelev's fractional calculus, extending traditional quantum mechanics frameworks.
Findings
Derived a fractional quantum potential for Schrödinger-type equations
Demonstrated the application of Kobelev's fractional calculus in quantum contexts
Provides a new mathematical tool for fractional quantum theories
Abstract
We use the fractional calculus of Kobelev to produce a fractional quantum potential for a corresponding Schrodinger type equation.
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Taxonomy
TopicsAdvanced Mathematical Theories and Applications · Quantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems