On the Conformable Fractional Quantum Mechanics

초록

In this paper, a conformable fractional quantum mechanic has been introduced using three postulates. Then in such a formalism, Schrodinger equation, probability density, probability flux and continuity equation have been derived. As an application of considered formalism, a fractional-radial harmonic oscillator has been considered. After obtaining its wave function and energy spectrum, effects of the conformable fractional parameter on some quantities have been investigated and plotted for different excited states.

키워드