Bootstrapping PT symmetric Hamiltonians

• URL: http://arxiv.org/abs/2202.05351v1
• Date: Thu, 10 Feb 2022 22:13:46 GMT
• Title: Bootstrapping PT symmetric Hamiltonians
• Authors: Sakil Khan, Yuv Agarwal, Devjyoti Tripathy, Sachin Jain
• Abstract summary: bootstrapping in Quantum Mechanics uses positivity condition to derive Eigenspectum. We define positivity condition for special class of non-hermitian hamiltonian, the PT symmetric Hamiltonian.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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