Quasi-Hermitian formulation of quantum mechanics using two conjugate Schroedinger equations
M Znojil - Axioms, 2023 - mdpi.com
To the existing list of alternative formulations of quantum mechanics, a new version of the
non-Hermitian interaction picture is added. What is new is that, in contrast to the more …
non-Hermitian interaction picture is added. What is new is that, in contrast to the more …
[HTML][HTML] 规范场论札记(I): 电磁学和量子光学中的人造规范势与卡鲁扎–克莱因理论中的衍生电磁规范场
沈建其 - Modern Physics, 2023 - hanspub.org
规范场是驱动物质运动, 参与传递相互作用的中介场. 在量子电动力学, 弱电统一模型和量子色
动力学中, 规范场是理论原生的基本动力学场. 除此之外, 规范场还可以“人造”(synthesis) …
动力学中, 规范场是理论原生的基本动力学场. 除此之外, 规范场还可以“人造”(synthesis) …
-symmetric dynamical confinement: Fermi acceleration, quantum force, and Berry phase
S Rakhmanov, C Trunk, M Znojil, D Matrasulov - Physical Review A, 2024 - APS
We consider a quantum particle under the dynamical confinement caused by PT-symmetric
box with a moving wall. The latter is described in terms of the time-dependent Schrödinger …
box with a moving wall. The latter is described in terms of the time-dependent Schrödinger …
Three alternative model-building strategies using quasi-Hermitian time-dependent observables
M Znojil - Symmetry, 2023 - mdpi.com
In the conventional (so-called Schrödinger-picture) formulation of quantum theory the
operators of observables are chosen self-adjoint and time-independent. In the recent …
operators of observables are chosen self-adjoint and time-independent. In the recent …
[HTML][HTML] Hermitian and pseudo-Hermitian Hamiltonians of SU (1, 1) system—Spectrum, exceptional point, quantum–classical correspondence
N Liu, M Luo, Z Wang, JQ Liang - Results in Physics, 2024 - Elsevier
We in this paper study the relation of hermiticity and energy spectrum for Hamiltonians
consisting of SU (1, 1) generators. In contrast with the common belief, the transition from real …
consisting of SU (1, 1) generators. In contrast with the common belief, the transition from real …
Discrete-coordinate crypto-Hermitian quantum system controlled by time-dependent Robin boundary conditions
M Znojil - Physica Scripta, 2024 - iopscience.iop.org
A family of exactly solvable quantum square wells with discrete coordinates and with certain
non-stationary Hermiticity-violating Robin boundary conditions is proposed and studied …
non-stationary Hermiticity-violating Robin boundary conditions is proposed and studied …
Quantum thermodynamics of non-Hermitian Otto engines
S Dosajh - 2024 - dr.iiserpune.ac.in
One of the fundamental axioms of quantum mechanics is that observables are self-adjoint or
Hermitian operators in a complex Hilbert space. What started as a mathematical curiosity in …
Hermitian operators in a complex Hilbert space. What started as a mathematical curiosity in …