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24 papers · 1 filter
Wigner-Smith time-delay matrix in chaotic cavities with non-ideal contacts
Aurélien Grabsch, Dmitry V. Savin, Christophe Texier
We consider wave propagation in a complex structure coupled to a finite number of scattering channels, such as chaotic cavities or quantum dots with external leads. Temporal as…
A Riemannian approach to Randers geodesics
Dorje C. Brody, Gary W. Gibbons, David M. Meier
In certain circumstances tools of Riemannian geometry are sufficient to address questions arising in the more general Finslerian context. We show that one such instance presents it…
Complex extension of Wigner's theorem
Dorje C. Brody
Wigner's theorem asserts that an isometric (probability conserving) transformation on a quantum state space must be generated by a Hamiltonian that is Hermitian. It is shown that w…
Low-diffusivity scalar transport using a WENO scheme and dual meshing
Boris Kubrak, Jan Wissink, Herlina Herlina +1
Interfacial mass transfer of low-diffusive substances in an unsteady flow environment is marked by a very thin boundary layer at the interface and other regions with steep concentr…
Coquaternionic quantum dynamics for two-level systems
Dorje C. Brody, Eva-Maria Graefe
The dynamical aspects of a spin-1/2 particle in Hermitian coquaternionic quantum theory is investigated. It is shown that the time evolution exhibits three different characteristic…
Interpolation between Airy and Poisson statistics for unitary chiral non-Hermitian random matrix ensembles
Gernot Akemann, Martin Bender
We consider a family of chiral non-Hermitian Gaussian random matrices in the unitarily invariant symmetry class. The eigenvalue distribution in this model is expressed in terms of…