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Category: Journal of Mathematical Physics

Homotopy double copy and the Kawai–Lewellen–Tye relations for the non-abelian and tensor Navier–Stokes equations

Homotopy double copy and the Kawai–Lewellen–Tye relations for the non-abelian and tensor Navier–Stokes equations

Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. Recently, a non-abelian generalization of the Navier–Stokes equation that exhibits a manifest duality between color and kinematics has been proposed by Cheung and Mangan. In this paper, w…

Nonautonomous k-contact field theories

Nonautonomous k-contact field theories

Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. This paper provides a new geometric framework to describe non-conservative field theories with explicit dependence on the space–time coordinates by combining the k-cosymplectic and k-cont…

Revisiting the Coulomb problem: A novel representation of the confluent hypergeometric function as an infinite sum of discrete Bessel functions

Revisiting the Coulomb problem: A novel representation of the confluent hypergeometric function as an infinite sum of discrete Bessel functions

Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We use the tridiagonal representation approach to solve the radial Schrödinger equation for the continuum scattering states of the Coulomb problem in a complete basis set of discrete Bess…

Local additivity revisited

Local additivity revisited

Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. We make a number of simplifications in Gour and Friedland’s proof of local additivity of the minimum output entropy of a quantum channel. We follow them in reframing the question as one a…

The asymmetric valence-bond-solid states in quantum spin chains: The difference between odd and even spins

The asymmetric valence-bond-solid states in quantum spin chains: The difference between odd and even spins

Journal of Mathematical Physics, Volume 64, Issue 3, March 2023. The qualitative difference in low-energy properties of spin S quantum antiferromagnetic chains with integer S and half-odd-integer S discovered by Haldane [F. D. M. Haldane, arXiv:1612.00…