Results 11 to 20 of about 77,145 (154)
The Rigged Hilbert Space of the Free Hamiltonian [PDF]
International Journal of Theoretical Physics, 2003 We explicitly construct the Rigged Hilbert Space (RHS) of the free Hamiltonian $H_0$. The construction of the RHS of $H_0$ provides yet another opportunity to see that when continuous spectrum is present, the solutions of the Schrodinger equation lie in ...
de la Madrid, R.
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Rigged Hilbert Space Treatment of Continuous Spectrum [PDF]
Fortschritte der Physik, 2002 The ability of the Rigged Hilbert Space formalism to deal with continuous spectrum is demonstrated within the example of the square barrier poten- tial.
Rafael de la Madrid +2 more
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Operators in Rigged Hilbert spaces: some spectral properties [PDF]
Journal of Mathematical Analysis and Applications, 2013 A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces.
Bellomonte, G. +2 more
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Quantum optical phase, rigged Hilbert spaces and complementarity. [PDF]
Philos Trans A Math Phys Eng SciWe place Loudon’s quantum treatment of optical phase in The quantum theory of light in its historical context, and outline research that it inspired. We show how it led Pegg and Barnett to their quantum phase formalism, explaining the challenges that ...
Bordon K, Vaccaro JA.
europepmc +5 more sources
STUDY OF GAMOW STATES IN THE RIGGED HILBERT SPACE WITH TEMPERED ULTRADISTRIBUTIONS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2001 In this work we show that it is possible to extend analytically, and with the use of tempered ultradistributions, the "pseudonorm" defined by T. Berggren for Gamow states.
A. L. De Paoli +3 more
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The rigged Hilbert space approach to the Gamow states [PDF]
Journal of Mathematical Physics, 2012 We use the resonances of the spherical shell potential to present a thorough description of the Gamow (quasinormal) states within the rigged Hilbert space. It will be concluded that the natural setting for the Gamow states is a rigged Hilbert space whose
Rafael de la Madrid
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Groups, Jacobi functions, and rigged Hilbert spaces [PDF]
Journal of Mathematical Physics, 2020 This paper is a contribution to the study of the relations between special functions, Lie algebras and rigged Hilbert spaces. The discrete indices and continuous variables of special functions are in correspondence with the representations of their ...
Celeghini, Enrico +2 more
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Rigged Hilbert Space formulation for quasi-Hermitian composite systems [PDF]
Journal of Mathematics and PhysicsThe discussion in this study delves into Dirac’s bra-ket formalism for a quasi-Hermitian quantum composite system based on the rigged Hilbert space (RHS). We establish an RHS with a positive-definite metric suitable for a quasi-Hermitian composite system.
Shousuke Ohmori
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RIGGED HILBERT SPACE RESONANCES AND TIME ASYMMETRIC QUANTUM MECHANICS [PDF]
, 2000 The Rigged Hilbert Space (RHS) theory of resonance scattering and decay is reviewed and contrasted with the standard Hilbert space (HS) theory of quantum mechanics. The main difference is in the choice of boundary conditions.
Arno Böhm, H. Kaldass
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The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential [PDF]
, 2004 The rigged Hilbert space of the algebra of the one-dimensional rectangular barrier potential is constructed. The one-dimensional rectangular potential provides another opportunity to show that the rigged Hilbert space fully accounts for Dirac's bra-ket ...
Rafael de la Madrid
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