Space-fractional Schrödinger equations for single and double fractional-dimensional Dirac-δ well systems

Authors

Jeffrey D. Tare ⋅ 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 solve the space-fractional Schrödinger equations (SFSEs) with single and double fractional-dimensional Dirac-δ wells using the momentum-space approach. We accomplish this by introducing the generalized attractive Dirac comb in the λ-dimensional fractional space (0 < λ ≤ 1) to the SFSE and formulating an N × N matrix eigenvalue equation. Then we apply this method to solve the SFSEs with N = 1, 2 Dirac-δ wells.

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Issue

2014: Proceedings of the 32nd Samahang Pisika ng Pilipinas Physics Congress

Article ID

SPP2014-3B-06

Section

Theoretical Physics

Published

2014-10-17

How to Cite

[1]

JD Tare and JPH Esguerra, Space-fractional Schrödinger equations for single and double fractional-dimensional Dirac-δ well systems, Proceedings of the Samahang Pisika ng Pilipinas 32, SPP2014-3B-06 (2014). URL: https://proceedings.spp-online.org/article/view/1841.