Zobrazeno 1 - 10
of 165
pro vyhledávání: '"Bagchi, Bijan"'
This article assesses Landauer's principle from information theory in the context of area quantization of the Schwarzschild black hole. Within a quantum-mechanical perspective where Hawking evaporation can be interpreted in terms of transitions betwe
Externí odkaz:
http://arxiv.org/abs/2408.02077
In this work our aim is to link Bekenstein's quantized form of the area of the event horizon to the Hamiltonian of the non-Hermitian Swanson oscillator which is known to be parity-time-symmetric. We achieve this by employing a similarity transformati
Externí odkaz:
http://arxiv.org/abs/2407.08358
It is commonly held that quantum states with energy $E = 0$ would belong to the continuum. However, several situations have been reported when a zero-energy state becomes bound subject to certain restrictions on the coupling constants defining the po
Externí odkaz:
http://arxiv.org/abs/2406.09164
Publikováno v:
Symmetry 16, 860 (2024)
Time and again, non-conventional forms of Lagrangians with non-quadratic velocity dependence have found attention in the literature. For one thing, such Lagrangians have deep connections with several aspects of nonlinear dynamics including specifical
Externí odkaz:
http://arxiv.org/abs/2403.18801
Motivated by the structure of the Swanson oscillator which is a well-known example of a non-Hermitian quantum system consisting of a general representation of a quadratic Hamiltonian, we propose a fermionic extension of such a scheme which incorporat
Externí odkaz:
http://arxiv.org/abs/2401.17189
It is well known that the Hamiltonian of an $n$-dimensional isotropic oscillator admits of an $SU(n)$ symmetry, making the system maximally superintegrable. However, the dynamical symmetries of the anisotropic oscillator are much more subtle. We intr
Externí odkaz:
http://arxiv.org/abs/2304.14306
In the light of a general scenario of a two-level non-Hermitian $\mathcal{PT}$-symmetric Hamiltonian we apply the tetrad-based method to analyze the possibility of analogue Hawking radiation. It is done by making use of the conventional null-geodesic
Externí odkaz:
http://arxiv.org/abs/2304.14174
In this paper, we describe the dynamical symmetries of classical supersymmetric oscillators in one and two spatial (bosonic) dimensions. Our main ingredient is a generalized Poisson bracket which is defined as a suitable classical counterpart to comm
Externí odkaz:
http://arxiv.org/abs/2304.04747