An efficient prescription to find the eigenfunctions of point interactions Hamiltonians
F. A. B. Coutinho, M. Amaku
TL;DR
This paper discusses a method for calculating the eigenfunctions of Hamiltonians with point interactions in two and three dimensions, utilizing a historical prescription by Case and Danilov.
Contribution
It applies and possibly refines the classical prescription by Case and Danilov for efficiently finding eigenfunctions of point interaction Hamiltonians.
Findings
Provides an explicit method for eigenfunction calculation
Simplifies the process for two and three-dimensional cases
Enhances understanding of point interaction Hamiltonians
Abstract
A prescription invented a long time ago by Case and Danilov is used to get the wave function of point interactions in two and three dimensions.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Nonlinear Photonic Systems