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arXiv · 1605.01662

Algebraic treatment of non-Hermitian quadratic Hamiltonians

Francisco M. Fernández
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Abstract

We generalize a recently proposed algebraic method in order to treat non-Hermitian Hamiltonians. The approach is applied to several quadratic Hamiltonians studied earlier by other authors. Instead of solving the Schr\"odinger equation we simply obtain the eigenvalues of a suitable matrix representation of the operator. We take into account the existence of unitary and antiunitary symmetries in the quantum-mechanical problem.

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Francisco M. Fernández. 2016-05-05. Algebraic treatment of non-Hermitian quadratic Hamiltonians. https://arxiv.org/abs/1605.01662

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