Journal of Mathematical Physics

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Volume 65,

Issue 9,

September 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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Research Article

| September 11 2024

Rescaling transformations and the Grothendieck bound formalism in a single quantum system

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

| September 11 2024

Topological recursion of the Weil–Petersson volumes of hyperbolic surfaces with tight boundaries

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

| 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 ...

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Research Article

| October 02 2024

Two-sided Lieb–Thirring bounds

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

| 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

| October 01 2024

Nonlocal combined nonlinear Schrödinger–Gerdjikov–Ivanov model: Integrability, Riemann–Hilbert problem with simple and double poles, Cauchy problem with step-like initial data

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 ...

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