Results 131 to 140 of about 77,145 (154)

Spectral Analysis in Rigged Hilbert Spaces

2015
In Quantum Physics, in particular in the framework of Dirac’s bra and ket formulation, the existence and completeness of “generalized eigenfunctions” plays a prominent role. This chapter explains the most important mathematical aspects on which this formalism is based, the so called “nuclear spectral theorem.” Naturally some preparations are needed. We
Philippe Blanchard, Erwin Brüning
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Rigged Hilbert spaces for chaotic dynamical systems

Journal of Mathematical Physics, 1996
We consider the problem of rigging for the Koopman operators of the Renyi and the baker maps. We show that the rigged Hilbert space for the Renyi maps has some of the properties of a strict inductive limit and give a detailed description of the rigged Hilbert space for the baker maps.
Suchanecki, Zdzisław, Antoniou, Ioannis, Tasaki, Shuichi, Bandtlow, Oscar O.F.   +3 more
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ON BOUNDARY CONDITIONS AND THE RIGGED HILBERT SPACE FORMALISM OF QUANTUM MECHANICS

Reports on mathematical physics, 2023
N. Boudi, Zakariae Ennadifi
semanticscholar   +1 more source

Singular Perturbations and Operators in Rigged Hilbert Spaces

Mediterranean Journal of Mathematics, 2015
A notion of regularity and singularity for a special class of operators acting in a rigged Hilbert space \({\mathcal{D} \subset \mathcal{H}\subset \mathcal{D}^\times}\) is proposed and it is shown that each operator decomposes into a sum of a regular and a singular part.
Salvatore Di Bella, Camillo Trapani
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Dynamical resonances and lifetimes in rigged Hilbert spaces

Physics Letters A, 1995
Abstract Resonances in rigged Hilbert space are briefly discussed and a resonance width operator is defined by application of a complex scaling transformation to the scattering coordinate. Applications to simple cases of potential scattering are considered.
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Rigged Hilbert space, duality, and cosmology

AIP Conference Proceedings, 1997
The evolution of the universe and that of most of its subsystems are time asymmetric which contrasts the time symmetric laws of physics. The aim of this paper is to prove that, from causality and the global nature of time asymmetry this asymmetry can be derived at the fundamental quantum level, defining a growing entropy and the outcome of equilibrium,
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Some geometrical questions in rigged Hilbert spaces

Mathematical Notes of the Academy of Sciences of the USSR, 1973
In a rigged Hilbert space Galois correspondences between classes of linear manifolds closed in various norms are studied. The class of linear manifolds closed simultaneously in two norms is investigated. Applications to the theory of representations of closed operators with improper scale subspaces are indicated.
A. A. Volodin, Yu. L. Shmul'yan
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Resonances, scattering theory, and rigged Hilbert spaces

Journal of Mathematical Physics, 1980
The problem of decaying states and resonances is examined within the framework of scattering theory in a rigged Hilbert space formalism. The stationary free,’’in,’’ and ’’out’’ eigenvectors of formal scattering theory, which have a rigorous setting in rigged Hilbert space, are considered to be analytic functions of the energy eigenvalue.
Parravicini, Guido, Gorini, Vittorio, Sudarshan, ECG   +2 more
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Change of representation and the rigged Hilbert space formalism in quantum mechanics

, 2021
N. Boudi, Zakariae Ennadifi
semanticscholar   +1 more source

Introduction to Rigged Hilbert Spaces (RHS)

2008
The purpose of this talk is to give a simple introduction to ideas related to the concept of Rigged Hilbert Space (or Gelfand Triplet). This concept has sometimes been used in defining resonances, but time does not permit us to go into this application. However, some references are given.
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