Bootstrapping PT symmetric Hamiltonians

Abstract

Bootstrapping in Quantum Mechanics uses positivity condition to derive the Eigenspectum. For non-hermitian systems usual positivity condition does not work. In this paper we define positivity condition for special class of non-hermitian hamiltonian, the PT symmetric Hamiltonian. We illustrate this modified positivity condition with several examples and obtain eigenspectrum.

20 pages, 9 figures

References in corpus (4)

• An Equivalent Hermitian Hamiltonian for the non-Hermitian -x^4 Potential
• Bootstrapping Matrix Quantum Mechanics
• Numerical Bootstrap in Quantum Mechanics
• Bootstrapping Bloch bands

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