All Research Papers Published In Reports on Mathematical Physics

Research Article
10.1016/s0034-4877(26)00027-3

Explicit solutions in inverse scattering method for negative-order AKNS equations

Apr 01, 2026
Reports on Mathematical Physics
Cihan Sabaz + 1 more +1

Research Article
10.1016/s0034-4877(26)00023-6

Solution formula for the general birth-death chemical diffusion master equation

Apr 01, 2026
Reports on Mathematical Physics
Alberto Lanconelli + 2 more +2

Research Article
10.1016/s0034-4877(26)00013-3

Local ultrametric approximation of graph distance based Laplacian diffusion

Feb 01, 2026
Reports on Mathematical Physics
Patrick Erik Bradley

Research Article
10.1016/s0034-4877(26)00012-1

Connection between coherent states and some integrals and integral representations

Feb 01, 2026
Reports on Mathematical Physics
Dušan Popov

Research Article
10.1016/s0034-4877(25)00076-x

Mixed Quasi-Einstein M(QE)n Relativistic Spacetimes with Applications

Dec 01, 2025
Reports on Mathematical Physics
Sameh Shenawy + 2 more +2

Research Article
3
10.1016/s0034-4877(25)00023-0

A NONAUTONOMOUS p-ADIC DIFFUSION EQUATION ON TIME CHANGING GRAPHS

Apr 01, 2025
Reports on Mathematical Physics
Patrick Erik Bradley + 1 more +1

Research Article
10.1016/s0034-4877(25)00008-4

Topology behind Topological Insulators

Feb 01, 2025
Reports on Mathematical Physics
Koushik Ray + 1 more +1

In this paper topological K -group calculations for fiber bundles with structure group SO(3) over tori are carried out to explain why topological insulators have special conducting points on their surface but are bulk insulators. It is shown that these special points are gapless and conducting for topological reasons and follow from the K -group calculations. The existence of gapless surface points is established with the help of an additional topological property of the K -groups which relates them to the index theorem of an operator. The index theorem relates zeros of operators to topology. For the topological insulator the relevant operator is a Dirac operator, that emerges in the problem because the system has strong spin-orbit interactions and time reversal invariance. Calculating K -groups over tori require some special topological tools that are not widely known. These are explained. We then show that the actual calculation of K -groups over tori becomes straightforward once a few topological results are in place. Since condensed matter systems with periodic lattices are always bundles over tori the procedures described is of general interest.

Research Article
6
10.1016/s0034-4877(24)00055-7

Nonisospectral equations from the Cauchy matrix approach

Aug 01, 2024
Reports on Mathematical Physics
Alemu Yilma Tefera + 2 more +2

Research Article
1
10.1016/s0034-4877(24)00056-9

Higher-order squeezing of both quadrature components in superposition of orthogonal even coherent state and vacuum state

Aug 01, 2024
Reports on Mathematical Physics
Pankaj Kumar

Research Article
1
10.1016/s0034-4877(24)00041-7

The nonisospectral super integrable hierarchies associated with Lie superalgebra [formula omitted][formula omitted] (1, 2)

Jun 01, 2024
Reports on Mathematical Physics
Si-Yu Gao + 1 more +1