Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. The Bistritzer–MacDonald (BM) model, introduced by Bistritzer and MacDonald [Proc. Natl. Acad. Sci. U. S. A. 108, 12233–12237 (2011); arXiv:1009.4203], attempts to capture electronic prop…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. In this paper, we first construct (nonhomogeneous) quantum Markov chains (QMCs, for short) associated with partially open quantum random walks (POQRWs, for short). We then focus on the st…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. The general theory of quaternion q-difference equations is completely different from traditional q-difference equations in the complex space for the special algebraic structure of the qua…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. This paper is the second in a series devoted to the study of spacetimes sourced by a stationary cylinder of fluid rigidly rotating around its symmetry axis and exhibiting an anisotropic p…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. In this paper, we study the discrete nonlinear random Schrödinger equation [math] on [math], where 0 < ɛ, δ ≪ 1, Δ is the discrete Laplacian, and V is the random potential. We fix the …
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. Complex and spinorial techniques of general relativity are used to determine all the states of SU(2) invariant quantum mechanical systems in which the equality holds in uncertainty relati…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. Complex techniques of general relativity are used to determine all the states in two- and three-dimensional momentum spaces in which the equality holds in uncertainty relations for non-co…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. The anomaly cancellation is at the basis of the perturbative consistence of the Standard Model, and it provides a partial explanation of charge quantization. We consider an effective elec…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. This paper rigorously justifies the incompressible limit of strong solutions to isentropic compressible magnetohydrodynamic equations with ill-prepared initial data in a three-dimensional…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. A non-perturbative proof of the mass generation of fermions via the Higgs mechanism is given. This is done by showing an exponential decay of the two point fermionic correlation function …