Antilinearity rather than Hermiticity as a guiding principle for quantum theory
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/aac035
Abstract: Currently there is much interest in Hamiltonians that are not Hermitian but instead possess an antilinear $PT$ symmetry, since such Hamiltonians can still lead to the time-independent evolution of scalar products, and can still have… read more here.
Keywords: antilinearity rather; hermiticity; antilinear symmetry; symmetry ... See more keywords
Goldstone bosons and the Englert-Brout-Higgs mechanism in non-Hermitian theories
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review D"
DOI: 10.1103/physrevd.99.045006
Abstract: In recent work Alexandre, Ellis, Millington and Seynaeve have extended the Goldstone theorem to non-Hermitian Hamiltonians that possess a discrete antilinear symmetry such as $PT$. They restricted their discussion to those realizations of antilinear symmetry… read more here.
Keywords: goldstone bosons; non hermitian; antilinear symmetry; goldstone ... See more keywords