The double-well potential in quantum mechanics: a simple, numerically exact formulation

DOI10.1088/0143-0807/33/6/1651zbMath1277.81045arXiv1209.2521OpenAlexW2015134266WikidataQ99713281 ScholiaQ99713281MaRDI QIDQ2867199

Vibor Jelić, Frank Marsiglio

Publication date: 10 December 2013

Published in: European Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.2521

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Software, source code, etc. for problems pertaining to quantum theory (81-04) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (15)

The ‘flea on the elephant’ effect ⋮ Numerical methods for the mean exit time and escape probability of two-dimensional stochastic dynamical systems with non-Gaussian noises ⋮ The quantum Zeno effect in double well tunnelling ⋮ Numerical simulation of quantum anharmonic oscillator, embedded within an infinite square well potential, by matrix methods using Gnumeric spreadsheet ⋮ Double exponential sinc-collocation method for solving the energy eigenvalues of harmonic oscillators perturbed by a rational function ⋮ Unbiased Estimation Using Underdamped Langevin Dynamics ⋮ Manifestation of classical instability in the quantum density of states of a double well potential ⋮ Energy splitting in a finite periodic multiple-well potential ⋮ An alternative approach to energy eigenvalue problems of anharmonic potentials ⋮ A Two-Dimensional “Flea on the Elephant” Phenomenon and its Numerical Visualization ⋮ Calculating bound states resonances and scattering amplitudes for arbitrary 1D potentials with piecewise parabolas ⋮ Motion in an asymmetric double well ⋮ Information entropy as a measure of tunneling and quantum confinement in a symmetric double-well potential ⋮ Unbiased estimation using a class of diffusion processes ⋮ Coherent destruction of tunnelling in a symmetrical double well driven by a series of time dependent δ functions

This page was built for publication: The double-well potential in quantum mechanics: a simple, numerically exact formulation