Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. This paper begins with a summary of a powerful formalism for the study of electronic states in condensed matter physics called “gauge theory of states/phases of matter.” The chiral anomal…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. Random tilings of very large domains will typically lead to a solid, a liquid, and a gas phase. In the two-phase case, the solid–liquid boundary (arctic curve) is smooth, possibly with si…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We consider two elliptic coupled systems of relevance in the fluid dynamics. These systems are posed on the whole space [math], and they consider the action of external forces. The first …
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. In this paper, we consider the nonlinear Schrödinger equations. Let [math]. Under some conditions on [math], we show the local uniqueness of positive multi-peak solutions concentrating ne…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We obtain explicit formulas for the solution of the wave equation in certain Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. Our method, pioneered by Klainerman and Sarnak, consist…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. This paper proposes a classification of elliptic (pseudo-)differential Hamiltonians describing topological insulators and superconductors in Euclidean space by means of domain walls. Augm…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. A generalization of the canonical coherent states of a quantum harmonic oscillator has been performed by requiring the conditions of normalizability, continuity in the label, and resoluti…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. The consideration here is a higher-order μ-Camassa–Holm equation, which is a higher-order extension of the μ-Camassa–Holm equation and retains some properties of the μ-Camassa–Holm equati…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. A frame approach to determining the most general solution admitting a desired symmetry group has previously been examined in Riemannian and teleparallel geometries with some success. In t…
Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We show that the sublinear bound of the bad Green’s functions implies explicit logarithmic bounds of moments for long range operators in arbitrary dimension.