In this paper we describe recent results on explicit construction of lens spaces that are not strongly isospectral, yet they are isospectral on p-forms for every p. Such examples cannot be obtained by the Sunada method. ...

Let Γ1 and Γ2 be Bieberbach groups contained in the full isometry group G of Rn. We provethat if the compact flat manifolds Γ1\Rn and Γ2\Rn are strongly isospectral, then the Bieberbachgroups Γ1 and Γ2 are representation ...

For any n≥7n≥7, k≥3k≥3, we give pairs of compact flat nn-manifolds MM, M′M′ with holonomy groups Zk2Z2k, that are strongly isospectral, hence isospectral on pp-forms for all values of pp, having nonisomorphic cohomology ...

In this paper we explore the Lie enveloping algebra of a post-Lie algebra derived from a classical R-matrix. An explicit exponential solution of the corresponding Lie bracket flow is presented. It is based on the solution ...

In this paper, we show how to construct a general class of non-relativistic quantum systems with position-dependent masses, which are isospectral to a given system with constant mass. Then, we use this approach in order ...

We propose a novel mathematical approach for the calculation of near-zero energy states by solving potentials which are isospectral with the original one. For any potential, families of strictly isospectral potentials (with ...

We give a simple geometric characterization of isospectral orbifolds covered by spheres, complex projective spaces and the quaternion projective line having cyclic fundamental group. The differential operators considered ...

A harmonic oscillator isospectral potential obtained by supersymmetric algebra applied to quantum mechanics is suggested to simulate DNA H bonds. Thermic denaturation is studied with this potential.