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arXiv · 2202.05351

Bootstrapping PT symmetric Hamiltonians

Sakil Khan·Yuv Agarwal·Devjyoti Tripathy·Sachin Jain
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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.

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Sakil Khan, Yuv Agarwal, Devjyoti Tripathy, Sachin Jain. 2022-02-10. Bootstrapping PT symmetric Hamiltonians. https://doi.org/10.1016/j.physletb.2022.137445

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