Recently developed methods for PT-symmetric models are applied to quantum-mechanical matrix models. We consider in detail the case of potentials of the form $V=-(g/N^{p/2-1})Tr(iM)^{p}$ and show how the calculation of all singlet wave functions can be reduced to solving a one-...
Unitary evolution in PT-symmetric quantum mechanics (QM) with a time-dependent metric is found to yield an interesting class of adiabatic processes. As an ... J Gong,QH Wang - 《Phys.rev.a》 被引量: 30发表: 2010年 From PT \\mathcal{P}\\mathcal{T} -symmetric quantum mechanics to ...
V. N. Rodionov, “Non-Hermitian -symmetric quantum mechanics of relativistic particles with the restriction of mass,” arXiv:1303.7053.V.N.Rodionov. Non-Hermitian PT-symmetric quantum mechanics of relativistic particles with the restriction of mass. arXiv:1303.7053 (2013)....
\mathcal{PT} \mathcal{PT} -symmetric quantum mechanics has been considered an important theoretical framework for understanding physical phenomena in \mathcal{PT} \mathcal{PT} -symmetric systems, with a number of \mathcal{PT} \mathcal{PT} -symmetry related applications. This line of research...
A conceptual framework extending (time-independent) PT -symmetric quantum mechanics into the timedependent domain is presented. It is built upon a nontrivial time-dependent metric operator identified here and works for generic finite-dimensional non-Hermitian systems. All the ingredients of our framewor...
The parity-time-reversal- ( \\mathcal{PT} \\mathcal{PT} ) symmetric quantum mechanics (PTQM) has developed into a noteworthy area of research. However, to date most known studies of PTQM focused on the spectral properties of non-Hermitian Hamiltonian operators. In this work, we propose ...
PT-Symmetric Quantum Mechanics This paper proposes to broaden the canonical formulation of quantum mechanics. Ordinarily, one imposes the condition $H^\\dagger=H$ on the Hamiltonian, whe... CM Bender,S Boettcher,PN Meisinger - 《Journal of Mathematical Physics》 被引量: 1025发表: 1998年 ...
Since the parity-time-(PPTT-) symmetric quantum mechanics was put forward, fundamental properties of some linear and nonlinear models with PPTT-symmetric potentials have been investigated. However, previous studies of PPTT-symmetric waves were limited to constant diffraction coefficients in the ambient...
A large number of PT -symmetric models have been studied, including PT -symmetric quantummechanics [6], PT -symmetric quantum elec Now consider a PT -symmetric Klein-Gordon oscillatormoving in a uniform magnetic field B, and the magnetic vector potential takes KleinGordon...
Parity-time (PT )-symmetric quantum mechanics1 has opened up a new direction in searching for unconven- tional states of matter. Non-Hermitian PT -symmetric systems have been a subject of intense studies because they exhibit unusual properties, such as PT -phase transitions2. While realization ...