Eigenvalues of Supersymmetric Quantum Matrix Models

Abstract

Recently proposed by Korsch and Glück [Eur. J. Phys. 23, 413 (2002)] an extremely simple method for computation of eigenvalues via direct representation of position and momentum operators in matrix form is successfully applied to the calculation of energies of the ground and excited states of the x 2 y 2 Hamiltonian and its supersymmetric quantum matrix extensions.

Quantum Computing for Inflationary, Dark Energy and Dark Matter Cosmology

“…Whichever method one uses the first step is to make a Hamiltonian mapping onto qubits which usually means choosing a basis to represent the operators in the system. The first step is to represent the Hamiltonian as an N ×N matrix using a discrete quantum mechanics approximation to the quantum mechanical operators which would be infinite dimensional for bosonic observables [13][14][15] [16]. In this paper we will use three different types of discrete Hamiltonians bases described below.…”