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math-ph2024
Matrix Elements and Characters of the Discrete Series ("Massive") Unitary Irreducible Representations of Sp(4,R)
Jean-Pierre Gazeau, Mariano A. del Olmo, Hamed Pejhan
This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp group. With an isomorphic relation…
math-ph2024★ 3 cited
Demkov-Fradkin tensor for curved harmonic oscillators
Şengül Kuru, Javier Negro, Sergio Salamanca
In this work, we obtain the Demkov-Fradkin tensor of symmetries for the quantum curved harmonic oscillator in a space with constant curvature given by a parameter . In order to…
math-ph2024
The one-dimensional Coulomb Hamiltonian: Properties of its Birman-Schwinger operator
S. Fassari, M. Gadella, J. T. Lunardi +2
We study the Birman-Schwinger operator for a self-adjoint realisation of the one-dimensional Hamiltonian with the Coulomb potential. We study both the case in which this Hamiltonia…