Aspects of the Quantum Mechanical Bootstrap

Abstract: I will detail some recent advances in understanding how to solve one dimensional quantum mechanical problems with the numerical Bootstrap method for problems in the real line, the circle and the positive real axis. Numerically, convergence seems to be exponential in the real line and the positive real axis problem. For the circle problem, one obtains the band structure of the potential. Finally, I will describe some additional progress when dealing with Robin boundary conditions on the positive real axis problem.

condensed matterHEP - theory

Audience: researchers in the topic

Numerical Methods in Theoretical Physics