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Algebraic treatment of non-Hermitian quadratic Hamiltonians

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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… Click to show full 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 Schrödinger 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.

Keywords: quadratic hamiltonians; treatment non; hermitian quadratic; algebraic treatment; chemistry; non hermitian

Journal Title: Journal of Mathematical Chemistry
Year Published: 2020

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