Results 121 to 130 of about 2,208 (153)

Partial Multiplication of Operators in Rigged Hilbert Spaces

Integral Equations and Operator Theory, 2005
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TRAPANI, Camillo, TSCHINKE, Francesco
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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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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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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.
Volodin, A. A., Shmul'yan, Yu. L.
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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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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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The Lippmann-Schwinger equations in the rigged Hilbert space

Journal of Physics A: Mathematical and General, 2002
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Gadella, M., Gómez, F.
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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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The rigged hilbert spaces approach in singular perturbation theory

Reports on Mathematical Physics, 2006
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Albeverio, S., Bozhok, R., Koshmanenko, V.   +2 more
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Gamow states in a rigged hilbert space

1998
The space of analytical test functions rapidly decreasing on the real axis (i.e: Schwartz test functions on the real axis), is used to construct the Rigged Hilbert Space (RHS) where Resonant Gamow States (GS) are defined starting from Dirac’s formula. It is shown that the expectation value of a self-adjoint operator acting on a GS is real.
C. G. Bollini, O. Civitarese, A. L. De Paoli, M. C. Rocca   +3 more
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