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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.
Featured Articles
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June 26 2023
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
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February 02 2022
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
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March 05 2021
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 ...
Editor's Picks
Research Article
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September 11 2024
A. Vourdas
The Grothedieck bound formalism is studied using “rescaling transformations,” in the context of a single quantum system. The rescaling transformations enlarge the set of unitary transformations ...
Research Article
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September 11 2024
Timothy Budd, Bart Zonneveld
The Weil–Petersson volumes of moduli spaces of hyperbolic surfaces with geodesic boundaries are known to be given by polynomials in the boundary lengths. These polynomials satisfy Mirzakhani’s ...
Research Article
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August 23 2024
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 ...
Most Recent
Research Article
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October 02 2024
Sven Bachmann, Richard Froese et al.
We prove upper and lower bounds for the number of eigenvalues of semi-bounded Schrödinger operators in all spatial dimensions. As a corollary, we obtain two-sided estimates for the sum of the ...
Research Article
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October 01 2024
Edge currents for the time-fractional, half-plane, Schrödinger equation with constant magnetic field
Peter D. Hislop, Éric Soccorsi
We study the large-time asymptotics of the edge current for a family of time-fractional Schrödinger equations with a constant, transverse magnetic field on a half-plane ( x , y ) ∈ R ...
Research Article
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October 01 2024
Bei-Bei Hu, Ling Zhang et al.
In this paper, we propose three new types of the integrable nonlocal combined nonlinear Schrödinger–Gerdjikov–Ivanov (NLS-GI) models. By the Riemann–Hilbert approach, we discuss the Cauchy problem of ...
Modified gravity: A unified approach to metric-affine models
Christian G. Böhmer, Erik Jensko
Almost synchronous quantum correlations
Thomas Vidick
Topological recursion of the Weil–Petersson volumes of hyperbolic surfaces with tight boundaries
Timothy Budd, Bart Zonneveld
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