Spectra of supersymmetric Yang–Mills quantum mechanics Original Research Article

The new method of solving quantum mechanical problems is proposed. The finite, i.e., cut-off, Hilbert space is algebraically implemented in the computer code with states represented by lists of variable length. Complete numerical solution of a given system is then automatically obtained. The technique is applied to Wess–Zumino quantum mechanics and D=2 and D=4 supersymmetric Yang–Mills quantum mechanics with SU(2) gauge group. Convergence with increasing cut-off was observed in many cases well within the reach of present machines. Many old results were confirmed and some new ones, especially for the D=4 system, are derived. Extension to D=10 is possible but computationally demanding for higher gauge groups.