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math-ph2026
Bound State Analysis of Rank-One Delta Interactions Supported by Deformed Hyperspheres
Hilal Demirdöğen, Fatih Erman, Merve Nur Sayar
We study rank-one delta interactions supported by small normal deformations of an \(n\)-dimensional hypersphere \(S_R^n\subset\mathbb{R}^{n+1}\). The interaction is defined by the…
math-ph2026
Perturbation Theory for Time-dependent Singular Quantum Systems
Kaya Güven Akbaş, Fatih Erman, O. Teoman Turgut
We develop a perturbative framework for time-dependent point interactions in quantum systems with purely discrete unperturbed spectrum. In two and three dimensions the point intera…