E. Ahmed
Fractional Angular Momentum and the Application of the Fractional Calculus to Quantum Mechanics
Steven Bentley Bildstein
Some Analytically Solvable Models of Fractional Quantum Mechanics
Generalized Lippmann–Schwinger equation in the fractional quantum mechanics
Jianping Dong
From the three-dimensional space fractional Schrödinger equation, a generalized Lippmann-Schwinger equation for the fractional quantum mechanics is obtained for both scattering and bound states.We apply the generalized integral equation to study the fractional quantum scattering problem and give the approximate scattering wavefunction of first order and higher orders.
Fractional supersymmetry as a superposition of ordinary supersymmetry
Mohammed Daoud A, M. Kibler
It is shown how to derive fractional supersymmetric quantum mechanics of order k as a superposition of k -1 copies of ordinary supersymmetric quantum mechanics.
Time fractional quantum mechanics
Nick Laskin
Nonlocal Phenomena in Quantum Mechanics with Fractional Calculus
Kazım Gökhan Atman, Hüseyin Şirin