Bootstrapping more QM systems

نویسندگان

چکیده

Abstract We test the bootstrap approach for determining spectrum of one dimensional Hamiltonians. In this paper we focus on problems that have a two parameter search space in approach: double well and periodic potential associated with Mathieu equation. For well, compare bootstrapped energies contributions from perturbative non-perturbative results, finding good agreement. potentials, notice gives band structure potential, but it has trouble quasi-momentum system. To make further progress dispersion relation bands, new techniques are needed.

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ژورنال

عنوان ژورنال: Journal of Physics A

سال: 2022

ISSN: ['1751-8113', '1751-8121']

DOI: https://doi.org/10.1088/1751-8121/ac7118