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5 papers · 2 filters
Exact results for a toy model exhibiting dynamic criticality
David C. Kaspar, Muhittin Mungan
In this article we discuss an exactly solvable, one-dimensional, periodic toy charge density wave model introduced in [D.C. Kaspar, M. Mungan, EPL {\bf 103}, 46002 (2013)]. In part…
Nondegeneracy of the Ground State for Nonrelativistic Lee Model
Fatih Erman, Berkin Malkoc, Osman Teoman Turgut
In the present work, we first briefly sketch construction of the nonrelativistic Lee model on Riemannian manifolds, introduced in our previous works. In this approach, the renormal…
Bose-Einstein Condensation on a Manifold with Nonnegative Ricci Curvature
Levent Akant, Emine Ertugrul, Ferzan Tapramaz +1
The Bose-Einstein condensation for an ideal Bose gas and for a dilute weakly interacting Bose gas in a manifold with nonnegative Ricci curvature is investigated using the heat kern…
Partner Symmetries, Group Foliation and ASD Ricci-Flat Metrics without Killing Vectors
Mikhail B. Sheftel, Andrei A. Malykh
We demonstrate how a combination of our recently developed methods of partner symmetries, symmetry reduction in group parameters and a new version of the group foliation method can…
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…