Relation between a system described by a simplified Muriel kinetic equation and a kicked system with a Mittag-Leffler waiting time distribution between kicks

Authors

Aleena Maria K. Laganapan ⋅ PH National Institute of Physics, University of the Philippines Diliman
Jose Perico H. Esguerra ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We point out that the time-evolved momentum distribution function obtained by solving a simplified Muriel kinetic equation for a kicked two-level system is identical to that obtained from a kicked system with exponential waiting time distribution between kicks (i.e. the number of kicks, N, a particle has received by time t is a Poisson renewal process). We then obtain the evolution of the momentum distribution function for a kicked-system with a Mittag-Leffler waiting time distribution between kicks.

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Issue

2007: Proceedings of the 25th Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP-2007-PA-39

Section

Poster Session PA

Published

2007-10-24

How to Cite

[1]

AMK Laganapan and JPH Esguerra, Relation between a system described by a simplified Muriel kinetic equation and a kicked system with a Mittag-Leffler waiting time distribution between kicks, Proceedings of the Samahang Pisika ng Pilipinas 25, SPP-2007-PA-39 (2007). URL: https://proceedings.spp-online.org/article/view/SPP-2007-PA-39.