Results 41 to 50 of about 2,208 (153)

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 ...
openaire   +2 more sources

The Arrow of Time in Rigged Hilbert Space Quantum Mechanics [PDF]

International Journal of Theoretical Physics, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert C. Bishop
openalex   +4 more sources

The rigged Hilbert space approach to the Lippmann-Schwinger equation. Part I

, 2006
We exemplify the way the rigged Hilbert space deals with the Lippmann-Schwinger equation by way of the spherical shell potential. We explicitly construct the Lippmann-Schwinger bras and kets along with their energy representation, their time evolution ...
Amrein W, Bohm A, Bohm A R de la Madrid R Tay B A Kielanowski P, de la Madrid R, de la Madrid R, de la Madrid R, de la Madrid R, de la Madrid R, Dunford N, Gadella M, Gelfand I M, Goldberger M L, Kato T, Maurin K, Newton R G, Rafael de la Madrid, Reed M, Taylor J R   +17 more
core   +1 more source

Time Asymmetric Quantum Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2011
The meaning of time asymmetry in quantum physics is discussed. On the basis of a mathematical theorem, the Stone-von Neumann theorem, the solutions of the dynamical equations, the Schrödinger equation (1) for states or the Heisenberg equation (6a) for ...
Arno R. Bohm, Manuel Gadella, Piotr Kielanowski   +2 more
doaj   +1 more source

Irreversible Quantum Mechanics in the Neutral K-System [PDF]

, 1997
The neutral Kaon system is used to test the quantum theory of resonance scattering and decay phenomena. The two dimensional Lee-Oehme-Yang theory with complex Hamiltonian is obtained by truncating the complex basis vector expansion of the exact theory in
A. Bohm, A. Bohm, A. Bohm, A. Bohm, A. Bohm, A. Bohm, A. Bohm, A. Bohm, A. Bohm, A. Bohm, A. Pais, Arno Bohm, C. Geweniger, E. Hernandez, E. Roberts, G. D. Barr, G. Gamow, G. Garcia-Calderon, G. Ludwig, I. Antoniou, I. Antoniou, I. Antoniou, J. Christenson, J. Ellis, J. Ellis, J. H. Christenson, J. P. Antoine, J. P. Antoine, K. Kleinknecht, L. A. Khalfin, L. Fonda, L. K. Gibbons, L. Maiani, M. Gadella, M. Gadella, M. Gadella, O. Melsheimer, P. Huet, R. E. Peierls, T. D. Lee   +39 more
core   +2 more sources

Convergence properties of dynamic mode decomposition for analytic interval maps

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 179-206, February 2026.
Abstract Extended dynamic mode decomposition (EDMD) is a data‐driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method with N$N$ functions and a quadrature method with M$M$ quadrature nodes.
Elliz Akindji, Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just   +3 more
wiley   +1 more source

Measures and operators associated with Parseval distribution frames

Frontiers in Physics
Continuing the study by Tschinke et al. (2019), we examine further aspects of distribution frames (namely, Gel’fand and Parseval), particularly regarding those that are more relevant for applications in quantum physics.
Camillo Trapani, Francesco Tschinke
doaj   +1 more source

Learning Metric Fields for Fast Low‐Distortion Mesh Parameterizations

Computer Graphics Forum, Volume 44, Issue 2, May 2025.
Abstract We present a fast and robust method for computing an injective parameterization with low isometric distortion for disk‐like triangular meshes. Harmonic function‐based methods, with their rich mathematical foundation, are widely used. Harmonic maps are particularly valuable for ensuring injectivity under certain boundary conditions. In addition,
G. Fargion, O. Weber
wiley   +1 more source

Method of intermediate problems in the Fröhlich polaron model

Condensed Matter Physics, 2009
Method of intermediate problems in the theory of linear semi-bounded self-adjoint operators on rigged Hilbert space was applied to the investigation of the ground state energy of the Fröhlich polaron model. It was shown that various infinite sequences of
A.V. Soldatov
doaj   +1 more source

Arithmetic Satake compactifications and algebraic Drinfeld modular forms

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract In this article, we construct the arithmetic Satake compactification of the Drinfeld moduli schemes of arbitrary rank over the ring of integers of any global function field away from the level structure, and show that the universal family extends uniquely to a generalized Drinfeld module over the compactification.
Urs Hartl, Chia‐Fu Yu
wiley   +1 more source