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math-ph2025
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…
math-ph2024
Gelfand Triplets, Continuous and Discrete Bases and Legendre Polynomials
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
We consider a basis of square integrable functions on a rectangle, contained in , constructed with Legendre polynomials, suitable, for instance, for the analogical description…