Results 21 to 30 of about 77,145 (154)
The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part II: The analytic continuation of the Lippmann-Schwinger bras and kets [PDF]
, 2006 The analytic continuation of the Lippmann-Schwinger bras and kets is obtained and characterized. It is shown that the natural mathematical setting for the analytic continuation of the solutions of the Lippmann-Schwinger equation is the rigged Hilbert ...
Bohm A +12 more
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Spherical harmonics and rigged Hilbert spaces [PDF]
Journal of Mathematical Physics, 2018 This paper is devoted to study discrete and continuous bases for spaces supporting representations of SO(3) and SO(3, 2) where the spherical harmonics are involved. We show how discrete and continuous bases coexist on appropriate choices of rigged Hilbert spaces. We prove the continuity of relevant operators and the operators in the algebras spanned by
E. Celeghini, M. Gadella, M. A. del Olmo
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SU(2), Associated Laguerre Polynomials and Rigged Hilbert Spaces [PDF]
, 2018 We present a family of unitary irreducible representations of SU(2) realized in the plane, in terms of the Laguerre polynomials. These functions are similar to the spherical harmonics defined on the sphere.
Celeghini, Enrico +2 more
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Rigged Hilbert spaces in quantum mechanics [PDF]
Communications in Mathematical Physics, 1966 It is shown how rigged Hilbert spaces may be constructed in quantum mechanics, and the properties of the resulting spaces are derived. The theory is applied to non-relativistic quantum systems ofn interacting particles. The spectral theory in rigged Hilbert spaces is developed and the results necessary for the application to the Dirac formalism are ...
John E. Roberts
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Rigged Hilbert spaces and contractive families of Hilbert spaces [PDF]
Monatshefte für Mathematik, 2010 15 pages.
Giorgia Bellomonte, Camillo Trapanı
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Rigged Hilbert space approach for non-Hermitian systems with positive definite metric [PDF]
Journal of Mathematics and Physics, 2022 We investigate Dirac’s bra–ket formalism based on a rigged Hilbert space for a non-Hermitian quantum system with a positive-definite metric. First, the rigged Hilbert space, characterized by a positive-definite metric, is established. With the aid of the
S. Ohmori, J. Takahashi
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Orthogonal polynomials and rigged Hilbert space
Journal of Functional Analysis, 1986 AbstractA duality correspondence is set up between polynomials satisfying a recurrence relation and the generalized eigenvectors of a Jacobi operator in a rigged Hilbert space. In the case of a symmetric recurrence a ready consequence of that correspondence is an alternative proof of Favard's Theorem and the Representation Theorem.
Domenico P. L. Castrigiano
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Time symmetry in Rigged Hilbert Spaces
, 2000 Despite the fact that the fundamental physical laws are symmetric in time, most observed processes do not show this symmetry. Especially the phenomenon of decay seems to involve a kind of irreversibility that makes the definition of a microscopic arrow of time possible.
Kim J. Bostroem
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