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19 papers · 1 filter
The robust $\mP\mT$-symmetric chain and properties of its Hermitian counterpart
Yogesh N. Joglekar, Avadh Saxena
We study the properties of a parity- and time-reversal- (PT) symmetric tight-binding chain of size N with position-dependent hopping amplitude. In contrast to the fragile PT-symmet…
Level density and level-spacing distributions of random, self-adjoint, non-Hermitian matrices
Yogesh N. Joglekar, William A. Karr
We investigate the level-density and level-spacing distribution of random matrices where is a (diagonal) inner-product and is a random,…
Topological expansion in the cubic random matrix model
Pavel Bleher, Alfredo Deaño
In this paper we return to the classical work by Brézin, Itzykson, Parisi and Zuber, in which, among other things, the authors explicitly calculated the coefficients of the topolog…
K-Theoretic Duality for Hyperbolic Dynamical Systems
Jerome Kaminker, Ian F. Putnam, Michael F. Whittaker
The K-theoretic analog of Spanier-Whitehead duality for noncommutative C*-algebras is shown to hold for the Ruelle algebras associated to irreducible Smale spaces. This had previou…
Mapping between Hamiltonians with attractive and repulsive potentials on a lattice
Yogesh N. Joglekar
Through a simple and exact analytical derivation, we show that for a particle on a lattice, there is a one-to-one correspondence between the spectra in the presence of an attractiv…
Possibility of measuring the thermal Casimir interaction between a plate and a cylinder attached to a micromachined oscillator
R. S. Decca, E. Fischbach, G. L. Klimchitskaya +3
We investigate the possibility of measuring the thermal Casimir force and its gradient in the configuration of a plate and a microfabricated cylinder attached to a micromachined os…