Quantum confinement in 1D systems through an imaginary-time evolution method

DOI10.1142/S021773231550176XzbMath1337.81054arXiv1801.06478MaRDI QIDQ2805082

Amlan K. Roy

Publication date: 10 May 2016

Published in: Modern Physics Letters A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.06478

zbMATH Keywords

diffusion equationharmonic oscillatorquartic potentialinverted oscillatorimaginary-time evolutionquantum confinement

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Related Items (1)

The kinetic energy partition method applied to a confined quantum harmonic oscillator in a one-dimensional Box

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