Gamow vectors: miscellaneous results

M. Gadella

Type: Article

Publication Date: 2008-08-01

Citations: 2

DOI: https://doi.org/10.1088/1742-6596/128/1/012038

Abstract

In this note, we discuss some mathematical properties of Gamow vectors. We start with the definition and properties of the approximate Gamow vectors that are Hilbert space vectors with similar properties to Gamow vectors and are defined by integration over the Hamiltonian spectrum and not over the whole real line, as is the case with ordinary Gamow vectors. We also discuss some properties of Gamow dyads, which are density operators constructed with Gamow vectors.

Locations

Journal of Physics Conference Series - View - PDF

Similar Works

Action	Title	Year	Authors
+	Operator Theory	2018	Christopher Heil
+	Vector-valued normed Köthe spaces	1980	G. L. M. Groenewegen Ep de Jonge
+	Bergman projections of vector-valued functions	2012	Alexandru Aleman
+ PDF Chat	Hilbert Spaces	2019	Sheldon Axler
+	Hilbert Space	1998	Ν. H. Bingham Rüdiger Kiesel
+	Vectors, operators and vector spaces	2007	Herman J. C. Berendsen
+	2.7 Vector-Valued Functions	2011	Gerd Baumann
+	A Primer of Vectors and Vector Spaces	1999	David A. Brannan Matthew F. Esplen Jeremy Gray
+	Chapter 2. Vectors and Matrices	2023
+ PDF Chat	Representation of additive functionals on vector-valued normed Köthe spaces	1979	Fumio Hiai
+	Vector-valued functions	2013	Harry Dym
+	Vector-Valued Functions	2019	John Vince
+	Vector-Valued Functions	2024	Steven G. Krantz Harold Parks
+	Vector-Valued Functions	2020	Charles Fefferman Arie Israel
+	Vector-Valued Functions	2013	John Vince
+	Vector-Valued Functions	2023	John Vince
+	Vector-valued functions	1996	E. Hille Robert A. Phillips
+	Vector-valued functions	2016	Nathan Carter
+	Vector-valued functions	2023	Harry Dym
+	Vector-Valued Functions	1970	H. B. Griffiths P. J. Hilton

Works That Cite This (0)

Action	Title	Year	Authors

Works Cited by This (14)

Action	Title	Year	Authors
+	Introduction to Hp Spaces	1999	Paul Koosis
+	Complex dynamical variables for multiparticle systems with analytic interactions. I	1974	Clasine van Winter
+	None	2002	M. Gadella F. Gómez-Cubillo
+	Resonance poles and Gamow vectors in the rigged Hilbert space formulation of quantum mechanics	1981	Arno Böhm
+	Dirac Kets, Gamow Vectors and Gel'fand Triplets	1989	Arno Böhm M. Gadella
+	None	1999	M. Gadella
+	Introduction to H[p] spaces	1998	Paul Koosis
+	Mathematical Scattering Theory	1983	Hellmut Baumgärtel Manfred Wollenberg
+ PDF Chat	On the mean value of the energy for resonant states	1999	O. Civitarese M. Gadella R. Id Betán
+ PDF Chat	Gamow-Jordan vectors and non-reducible density operators from higher-order S-matrix poles	1997	Arno Böhm Mark Loewe S. Maxson P. Patuleanu C. Püntmann M. Gadella