Most textbooks explain quantum mechanics as a story where each step follows naturally
from the one preceding it. However, the development of quantum mechanics was exactly the …

In addition to ground state wave functions and energies, excited states and their energies
are also obtained in a standard Rayleigh− Ritz variational calculation. However, their …

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 …

We show that there exist spurious states for the sector two tensor Hamiltonian in
multidimensional supersymmetric quantum mechanics. For one-dimensional …

We consider the connection to the harmonic oscillator, super-symmetric quantum mechanics
(SUSY-QM) and coherent states of the recently derived constrained Heisenberg “minimum …

This chapter presents development of a Bohmian trajectory-based approach for computing
the quantum mechanical structure, energetics, and thermodynamics of multiatom systems. It …

Symmetry has long been recognized as a powerful formal and computational tool in
quantum mechanics, beginning with the seminal work of Wigner Wigner & Fano (1960) and …

In my talk I will present an overview of our recent work involving the use of supersymmetric
quantum mechanics (SUSY-QM). I begin by discussing the mathematical underpinnings of …

In many-body systems, quantum mechanical effects become important when the de Broglie
wavelength of a given atom becomes comparable to the characteristic interatomic …

Supersymmetry (SUSY) postulates that for every fermion there is boson of equal mass (ie
energy). In quantum mechanics this comes about because for every quantum Hamiltonian …