Autocorrelation function in time-fractional quantum mechanics

Authors

  • Mary Madelynn Nayga National Institute of Physics, University of the Philippines Diliman
  • Jose Perico Esguerra National Institute of Physics, University of the Philippines Diliman

Abstract

A general expression for the autocorrelation function in time-fractional quantum mechanics is derived in terms of a Mittag-Leffler function. As a special case, the autocorrelation function over a small time interval, for zero-momentum wave packets in the 1D infinite well is investigated. It is observed that when considering the time-fractional case, certain values for the autocorrelation after some time, t > 0 are greater than the initial value, a consequence attributed to the unnormalized probability in Naber’s time-fractional formulation.

Downloads

Issue

Article ID

SPP2014-3B-02

Section

Theoretical Physics

Published

2014-10-17

How to Cite

[1]
MM Nayga and JP Esguerra, Autocorrelation function in time-fractional quantum mechanics, Proceedings of the Samahang Pisika ng Pilipinas 32, SPP2014-3B-02 (2014). URL: https://proceedings.spp-online.org/article/view/1837.