The non-Hermitian operators on the Baker-Hausdorff formula

Jack Whongius

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arXiv · 2302.10116

The non-Hermitian operators on the Baker-Hausdorff formula

Jack Whongius

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Abstract

This paper provides a connection to the non-Hermitian operators associated with the geometric potential function $s$ and Baker-Hausdorff formula. The geometric quantum potential is considered in a precise condition. The Ri-operator as a non-Hermitian Hamiltonian to describe the generalized quantum harmonic oscillator can be re-expressed as a more compact quantum formula by using the Baker-Hausdorff formula, more deeply, we prove some results based on the application of this formula.

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Jack Whongius. 2023-01-29. The non-Hermitian operators on the Baker-Hausdorff formula. https://arxiv.org/abs/2302.10116

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