Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. We show how decimated Gibbs measures having unbroken continuous symmetry due to the Mermin–Wagner theorem, despite their discrete equivalents exhibiting phase transition, can still be…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. In this paper, we first derive the evolution formula for the square of the first eigenvalue λ2 of the Dirac operator under the metric flow [math] on compact spin manifolds. We then pr…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. Purely multiplicative comparisons of quantum relative entropy are desirable but challenging to prove. We show such comparisons for relative entropies between comparable densities, inc…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. We consider the ferromagnetic q-state Potts model on a finite grid with a non-zero external field and periodic boundary conditions. The system evolves according to Glauber-type dynami…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. Let [λ, μ] be an interval contained in a spectral gap of a periodic Schrödinger operator H. Consider H(α) = H − αV, where V is a fast decaying positive function. We study the asymptot…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. We study the hybrid type of rank one perturbations in [math] and [math], where the perturbation supported by a circle/sphere is considered together with the delta potential supported …
Journal of Mathematical Physics, Volume MATP2022, Issue 1, December 2022. We develop a formalism to estimate, simultaneously, the usual bulk and edge indices from topological insulators in the case of a finite sample with open boundary conditions and p…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. The aim of this study is to solve the Riemann problem of isentropic magnetogasdynamics equations for a more realistic version of the extended Chaplygin gas model. The analysis demonst…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. We develop a formalism to estimate, simultaneously, the usual bulk and edge indices from topological insulators in the case of a finite sample with open boundary conditions and provid…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. We analyze the thermodynamic limit—modeled as the open-trap limit of an isotropic harmonic potential—of an ideal, non-relativistic Bose gas with a special emphasis on the phenomenon o…