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Category: Journal of Mathematical Physics

Integrable heat conduction model

Integrable heat conduction model

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. We consider a stochastic process of heat conduction where energy is redistributed along a chain between nearest neighbor sites via an improper beta distribution. Similar to the well-known…

Monotonic multi-state quantum f-divergences

Monotonic multi-state quantum f-divergences

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. We use the Tomita–Takesaki modular theory and the Kubo–Ando operator mean to write down a large class of multi-state quantum f-divergences and prove that they satisfy the data processing …

Study of stationary rigidly rotating anisotropic cylindrical fluids with new exact interior solutions of GR. III. Azimuthal pressure

Study of stationary rigidly rotating anisotropic cylindrical fluids with new exact interior solutions of GR. III. Azimuthal pressure

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. The investigation of interior spacetimes sourced by stationary cylindrical anisotropic fluids is pursued and specialized here to rigidly rotating fluids with an azimuthally directed press…

Quantum tomographic Aubry–Mather theory

Quantum tomographic Aubry–Mather theory

Journal of Mathematical Physics, Volume 64, Issue 4, April 2023. In this paper, we study the quantum analog of the Aubry–Mather theory from a tomographic point of view. In order to have a well-defined real distribution function for the quantum phase sp…