Algebraic treatment of non-Hermitian quadratic Hamiltonians
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DOI: 10.1007/s10910-020-01165-8
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… read more here.
Keywords: quadratic hamiltonians; treatment non; hermitian quadratic; algebraic treatment ... See more keywords
Bosonic quadratic Hamiltonians
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DOI: 10.1063/1.5017931
Abstract: We discuss self-adjoint operators given formally by expressions quadratic in bosonic creation and annihilation operators. We give conditions when they can be defined as self-adjoint operators, possibly after an infinite renormalization. We also discuss explicit… read more here.
Keywords: quadratic hamiltonians; bosonic quadratic;