Algebraic treatment of non-Hermitian quadratic Hamiltonians
Quantum Physics
2020-09-04 v5
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.
Keywords
Cite
@article{arxiv.1605.01662,
title = {Algebraic treatment of non-Hermitian quadratic Hamiltonians},
author = {Francisco M. Fernández},
journal= {arXiv preprint arXiv:1605.01662},
year = {2020}
}