Towards the Ground State of the Supermembrane

TL;DR

This paper investigates the explicit form of the ground state wave-function of the SU(2) supermembrane matrix model near the origin, using Taylor expansion to facilitate recursive calculations.

Contribution

It provides a method to compute the ground state wave-function's Taylor expansion terms, advancing understanding of supermembrane quantum states.

Findings

Derived second-order Taylor expansion terms of the wave-function

Established recurrence relations from the Schrödinger equation

Facilitated recursive computation of higher-order terms

Abstract

The explicit, near the origin, form of the ground state of the SU(2) supermembrane matrix model is studied. We evaluate the 2nd order terms of the Taylor expansion of the wave-function, which together with the 0th and the 1st order terms can be used to determine other terms by recurrence equations coming from the Schroedinger equation.