7 citations · 27 across the 9 of their papers we have counts for
5 papers · 1 filter
Infinitely many singular interactions on noncompact manifolds
Burak Tevfik Kaynak, O. Teoman Turgut
We show that the ground state energy is bounded from below when there are infinitely many attractive delta function potentials placed in arbitrary locations, while all being separa…
Compact submanifolds supporting singular interactions
Burak Tevfik Kaynak, O. Teoman Turgut
A quantum particle moving under the influence of singular interactions on embedded surfaces furnish an interesting example from the spectral point of view. In these problems, the p…
A Klein Gordon Particle Captured by Embedded Curves
Burak Tevfik Kaynak, O. Teoman Turgut
In the present work, a Klein Gordon particle with singular interactions supported on embedded curves on Riemannian manifolds is discussed from a more direct and physical perspectiv…
Singular interactions supported by embedded curves
Burak Tevfik Kaynak, O. Teoman Turgut
In this work, singular interactions supported by embedded curves on Riemannian manifolds are discussed from a more direct and physical perspective, via the heat kernel approach. We…
Symbol calculus and zeta--function regularized determinants
Burak Tevfik Kaynak, O. Teoman Turgut
In this work, we use semigroup integral to evaluate zeta-function regularized determinants. This is especially powerful for non--positive operators such as the Dirac operator. In o…