Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. In an important series of articles published during the 1970s, Krasiński [Acta Phys. Pol. B 5, 411 (1974); 6, 223 (1975); J. Math. Phys. 16, 125 (1975); Rep. Math. Phys. 14, 225 (1978)…
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. In this paper, we consider the long-time behavior of the nonclassical diffusion equation with perturbed parameter and memory on a bounded domain [math]. The main feature of this model …
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. In this paper, we consider the Cauchy problem of tri-dimensional compressible Navier–Stokes equations and construct global smooth solutions by choosing a class of new special initial v…
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. Here, we study the two-periodic weighted dimer model on the Aztec diamond graph. In the thermodynamic limit when the size of the graph goes to infinity while weights are fixed, the mod…
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. We examine the utility of the quadratic pseudospectrum for understanding and detecting states that are somewhat localized in position and energy, in particular, in the context of conde…
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. The addition formulae for KP τ-functions, when evaluated at lattice points in the KP flow group orbits in the infinite dimensional Sato-Segal-Wilson Grassmannian, give infinite paramet…
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. We examine Atiyah’s Hermitian axiom for two-dimensional complex topological quantum field theories. Building on the correspondence between 2D topological quantum field theories (TQFTs)…
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. Quantum magic squares have recently been introduced as a “magical” combination of quantum measurements. In contrast to quantum measurements, they cannot be purified (i.e., dilated to a…
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. We consider a multi-dimensional continuum Schrödinger operator H, which is given by a perturbation of the negative Laplacian by a compactly supported bounded potential. We show that fo…
Journal of Mathematical Physics, Volume 64, Issue 2, February 2023. Topological invariance is a powerful concept in different branches of physics as they are particularly robust under perturbations. We generalize the ideas of computing the statistics o…