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5 papers · 2 filters
Unusual isospectral factorizations of shape invariant Hamiltonians with Scarf II potential
Yiğit Can Acar, Lorena Acevedo, Şengül Kuru
In this paper, we search the factorizations of the shape invariant Hamiltonians with Scarf II potential. We find two classes; one of them is the standard real factorization which l…
A Novel Holographic Framework Preserving Reflection Positivity in dS Spacetime
Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan
This manuscript introduces a novel holographic correspondence in -dimensional de Sitter (dS) spacetime, connecting bulk dS scalar unitary irreducible representations (UI…
Anti-de Sitterian "massive" elementary systems and their Minkowskian and Newton-Hooke contraction limits
Mohammad Enayati, Jean-Pierre Gazeau, Mariano A. del Olmo +1
We elaborate the definition and properties of "massive" elementary systems in the -dimensional Anti-de Sitter (AdS) spacetime, on both classical and quantum levels. We f…
Analysis of a one-dimensional Hamiltonian with a singular double well consisting of two nonlocal interactions
Silvestro Fassari, Manuel Gadella, Luis-Miguel Nieto +1
The objective of the present paper is the study of a one-dimensional Hamiltonian with the interaction term given by the sum of two nonlocal attractive -interactions of equal st…
Quantum, classical symmetries and action-angle variables by factorization of superintegrable systems
Şengül Kuru, Javier Negro, Sergio Salamanca
The purpose of this work is to present a method based on the factorizations used in one dimensional quantum mechanics in order to find the symmetries of quantum and classical super…