FRACTIONAL PATH INTEGRAL IN MOMENTUM SPACE IN TIME EVOLUTION TECHNIQUE

Volume 20 No 7 (2022)

Sundos A. Al-bashabsheh, Raed S. Hijjawi, Emad K. Jaradat

DOI: 10.14704/nq.2022.20.7.NQ33311

Abstract

A fractional path integral (FPI) in momentum space are defined in term of White noise, we used time evolution technique to transform FPI into momentum space. The free particle and simple harmonic oscillator path integrals have been developed by our FPI in momentum space, then we compare it with classical path integral.

Keywords

Fractional path integral, momentum space, Kernal (propagator), time evolution, Fractional Hamilton.

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