Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. We revisit an old subject to discuss relationships between the dynamics for particles subjected to potentials and the dynamics for particles moving freely on background geometries, in…
Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. The discrete spectrum of the Dirac operator for a point electron in the maximal analytically extended Kerr–Newman spacetime is determined in the zero-G limit (zGKN), under some restri…
Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. Employing internal quantum systems as reference frames is a crucial concept in quantum gravity, gauge theories, and quantum foundations whenever external relata are unavailable. In th…
Journal of Mathematical Physics, Volume MATP2022, Issue 1, December 2022. The discrete Hamiltonian of Su, Schrieffer, and Heeger (SSH) [Phys. Rev. Lett. 42, 1698–1701 (1979)] is a well-known one-dimensional translation-invariant model in condensed matt…
Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. The discrete Hamiltonian of Su, Schrieffer, and Heeger (SSH) [Phys. Rev. Lett. 42, 1698–1701 (1979)] is a well-known one-dimensional translation-invariant model in condensed matter ph…
Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. Dynamical decoupling is a key method to mitigate errors in a quantum mechanical system, and we studied it in a series of papers dealing, in particular, with the problems arising from …
Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. We use methods from the Fock space and Segal–Bargmann theories to prove several results on the Gaussian RBF kernel in complex analysis. The latter is one of the most used kernels in m…
Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. In this paper, we use the Lyapunov–Schmidt reduction method to obtain the existence of multi-bump solutions for a nonlinear Kirchhoff-type system with the parameter ɛ. As a result, wh…
Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. In this paper, two problems related to FitzHugh–Nagumo lattice systems are analyzed. The first one is concerned with the asymptotic behavior of random delayed FitzHugh–Nagumo lattice …
Journal of Mathematical Physics, Volume 63, Issue 11, November 2022. It is proved that the energy-constrained Bures distance between arbitrary infinite-dimensional quantum channels is equal to the operator E-norm distance from any given Stinespring iso…