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Non-Hermitian noncommutative quantum mechanics.
SANTOS, J. F. G.; LUIZ, Fabrício de Souza; DUARTE, Oscar Salomón; MOUSSA, Miled Hassan Youssef.
Abstract: In this work we present a general formalism to treat non-Hermitian and noncommutative Hamiltonians. This is done employing the phase-space formalism of quantum mechanics, which allows to write a set of robust maps connecting the Hamitonians and the associated Wigner functions to the different Hilbert space structures, namely, those describing the non-Hermitian and noncommutative, Hermitian and noncommutative, and Hermitian and commutative systems. A general recipe is provided to obtain the expected values of the more general Hamiltonian. Finally, we apply our method to the harmonic oscillator under linear amplification and discuss the implications of both non-Hermitian and noncommutative effects.
European Physical Journal Plus
v. 134, p. 332-1-332-11 - Ano: 2019
Fator de Impacto: 2,612
http://dx.doi.org/10.1140/epjp/i2019-12738-3
    @article={002952881,author = {SANTOS, J. F. G.; LUIZ, Fabrício de Souza; DUARTE, Oscar Salomón; MOUSSA, Miled Hassan Youssef.},title={Non-Hermitian noncommutative quantum mechanics},journal={European Physical Journal Plus},note={v. 134, p. 332-1-332-11},year={2019}}