Journal of Mathematical Physics

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Current Issue

Volume 65,

Issue 8,

August 2024

Focus and Coverage

Journal of Mathematical Physics features content in all areas of mathematical physics. Articles focus on areas of research that illustrate the application of mathematics to problems in physics, the development of mathematical methods suitable for such applications, and the formulation of physical theories.

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Jan Philip Solovej

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Featured Articles

Research Article

| June 26 2023

Traveling waves in an evolving interstellar gas cloud

Mayer Humi

This paper considers the possible emergence of traveling waves within an evolving interstellar gas cloud. To model this evolution, we use Euler–Poisson equations with the additional assumptions that ...

Research Article

| February 02 2022

Almost synchronous quantum correlations

Thomas Vidick

The study of quantum correlation sets initiated by Tsirelson in the 1980s and originally motivated by questions in the foundations of quantum mechanics has more recently been tied to questions in ...

Research Article

| March 05 2021

The Gregory–Laflamme instability of the Schwarzschild black string exterior

Sam C. Collingbourne

In this paper, a direct rigorous mathematical proof of the Gregory–Laflamme instability for the five-dimensional Schwarzschild black string is presented. Under a choice of ansatz for the perturbation ...

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Research Article

| August 23 2024

Nonexistence of closed timelike geodesics in Kerr spacetimes

Giulio Sanzeni

The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the Kerr spacetime. Despite the presence of closed timelike curves below the inner horizon, we prove ...

Research Article

| August 14 2024

Polyadic sigma matrices

Steven Duplij

We generalize σ-matrices to higher arities using the polyadization procedure proposed by the author. We build the nonderived n-ary version of S U 2 using cyclic shift block matrices. We ...

Research Article

| August 14 2024

The effect of singularities and damping on the spectra of photonic crystals

Konstantinos Alexopoulos, Bryn Davies

Understanding the dispersive properties of photonic crystals is a fundamental and well-studied problem. However, the introduction of singular permittivities and damping complicates the otherwise ...

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Research Article

| September 09 2024

Stückelberg-modified massive Abelian 3-form theory: Constraint analysis, conserved charges and BRST algebra

A. K. Rao, R. P. Malik

For the Stückelberg-modified massive Abelian 3-form theory in any arbitrary D-dimension of spacetime, we show that its classical gauge symmetry transformations are generated by the first-class ...

Research Article

| September 05 2024

A Gaussian integral that counts regular graphs

Oleg Evnin, Weerawit Horinouchi

In a recent article [Kawamoto, J. Phys. Complexity 4 , 035005 (2023)], Kawamoto evoked statistical physics methods for the problem of counting graphs with a prescribed degree sequence. This ...

Research Article

| August 30 2024

Asymptotic stability to semi-stationary Boussinesq equations without thermal conduction

Jianguo Li

We study the stability problem of steady solutions to the semi-stationary Boussinesq equations in the strip domain R 2 × ( 0 , 1 ) . For an equilibrium state with any general ...

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