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85.236  Articles
1 of 8.525 pages  |  10  records  |  more records»
We provide a new perspective on non-Hermitian evolution in quantum mechanics by emphasizing the same method as in the Hermitian quantum evolution. We first give a precise description of the non unitary transformation  and the associated evolution, an... see more

In this paper we review an approach to the dynamics of open quantum systems based of non-Hermitian Hamiltonians. Non-Hermitian Hamiltonians arise naturally when one wish to study a subsystem interacting with a continuum of states. Moreover, quantum subsys... see more

Pseudo-Hermitian quantum theories are those in which the Hamiltonian H satisfies H† = ?H?-1, where ? = e-Q is a positive-definite Hermitian operator, rather than the usual H† = H. In the operator formulation of such theories the standard Hilbert-space met... see more

We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians. Within such a framework, we study novel possible definitions of the quantum linear entropy as an indicator of the flow ... see more

The bound state solution of the Dirac equation for generalized Pöschl-Teller and trigonometric Pöschl-Teller non-central potentials was obtained usingSUSY quantum mechanics and the idea of shape invariance potential. Theapproximate relativistic energy spe... see more

Many authors have attempted to derive the fundamental equations of quantum mechanics from classical hydrodynamics. In the present contribution we presume that the continuous, electrically charged material substance moves simultaneously under the influence... see more

Metaphysical underdetermination arises when we are not able to decide, by purely theoretical criteria, between competing interpretations of scientific theories with different metaphysical commitments. This is the case in which non-relativistic quantum mec... see more

There is a huge number of laments concerning the lack of intelligibility of quantum mechanics. Some ingredients of quantum mechanics may however be possibly understood by referring to first principles, that is to say to basic principles (or postulates) wh... see more

Yi-Chan Lee et al. claim (cf. Phys. Rev. Lett. 112, 130404 (2014)) that the “recent extension of quantum theory to non-Hermitian Hamiltonians” (which is widely known under the nickname of “PT-symmetric quantum theory”) is “likely false as a fundamental th... see more

1 of 8.525 pages  |  10  records  |  more records»