Coupled supersymmetry and ladder structures beyond the harmonic oscillator

CL Williams, NN Pandya, BG Bodmann… - Molecular Physics, 2018 - Taylor & Francis
The development of supersymmetric (SUSY) quantum mechanics has shown that some of
the insights based on the algebraic properties of ladder operators related to the quantum …

Bipolar Reaction Path Hamiltonian Approach for Reactive Scattering Problems

JB Maddox, B Poirier - Journal of Chemical Theory and …, 2011 - ACS Publications
In this work we present a method for calculating the stationary state wave functions and
reaction probabilities of a multidimensional reactive scattering system. Our approach builds …

Adiabatic switching approach to multidimensional supersymmetric quantum mechanics for several excited states

CC Chou, T Markovich, DJ Kouri - Molecular Physics, 2012 - Taylor & Francis
We present a time-dependent method for determining several approximate excited-state
energies and wave functions using a vectorial approach to multidimensional …

Multidimensional supersymmetric quantum mechanics: A scalar Hamiltonian approach to excited states by the imaginary time propagation method

CC Chou, DJ Kouri - The Journal of Physical Chemistry A, 2013 - ACS Publications
Supersymmetric quantum mechanics (SUSY-QM) is shown to provide a novel approach to
the construction of the initial states for the imaginary time propagation method to determine …

Optimal system-specific coherent states for excited state calculations of quantum systems

CE Li, CT Li, CC Chou - Chemical Physics Letters, 2021 - Elsevier
Optimal discretized system-specific coherent states are developed as a set of basis functions
to calculate the excited state energies and wave functions of a quantum system. The ground …

Multidimensional Supersymmetric Quantum Mechanics: Spurious States for the Tensor Sector Two Hamiltonian

CC Chou, DJ Kouri - The Journal of Physical Chemistry A, 2013 - ACS Publications
We show that there exist spurious states for the sector two tensor Hamiltonian in
multidimensional supersymmetric quantum mechanics. For one-dimensional …

Coupled Supersymmetric Quantum Mechanics and ladder structures beyond the harmonic oscillator

CL Williams, NN Pandya, BG Bodmann… - arXiv preprint arXiv …, 2017 - arxiv.org
The development of supersymmetric (SUSY) quantum mechanics has shown that some of
the insights based on the algebraic properties of ladder operators related to the quantum …

Asymptotic Functional Form Preservation Method with Supersymmetric Quantum Mechanics for Anharmonic Oscillators

CC Chou, CT Li - Australian Journal of Chemistry, 2016 - CSIRO Publishing
The asymptotic functional form preservation method is developed in the framework of
supersymmetric quantum mechanics to obtain the energies and wave functions of …