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quant-ph2017★ 11 cited
The particle in a box in PT quantum mechanics and an electromagnetic analog
Anirudh Dasarthy, Joshua P. Isaacson, Katherine Jones-Smith +2
In PT quantum mechanics a fundamental principle of quantum mechanics, that the Hamiltonian must be hermitian, is replaced by another set of requirements, including notably symmetry…
quant-ph2013★ 4 cited
A 'Dysonization' Scheme for Identifying Particles and Quasi-Particles Using Non-Hermitian Quantum Mechanics
Katherine Jones-Smith
In 1956 Dyson analyzed the low-energy excitations of a ferromagnet using a Hamiltonian that was non-Hermitian with respect to the standard inner product. This allowed for a facile…