Spectral Theory for a Mathematical Model of the Weak Interaction: The Decay of the Intermediate Vector Bosons W ±, II [PDF]
Annales Henri Poincaré, 2011 To appear in Ann.
Walter H. Aschbacher +3 more
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Spectral Theory for a Mathematical Model of the Weak Interaction—Part I: The Decay of the Intermediate Vector Bosons
Advances in Mathematical Physics, 2009 We consider a Hamiltonian with cutoffs describing the weak decay of spin 1 massive bosons into the full family of leptons. The Hamiltonian is a self‐adjoint operator in an appropriate Fock space with a unique ground state. We prove a Mourre estimate and a limiting absorption principle above the ground state energy and below the first threshold for a ...
Jean-Marie Barbaroux, J. C. Guillot
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Spectral theory of a mathematical model in Quantum Field Theory for any spin
, 2012 In this paper we use the formalism of S.Weinberg in order to construct a mathematical model based on the weak decay of hadrons and nuclei. In particular we consider a model which generalizes the weak decay of the nucleus of the cobalt. We associate with this model a Hamiltonian with cutoffs in a Fock space.
Jean‐Claude Guillot
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Reliability & Quality of Complex Systems, 2022 Background. Modern and designed complex, highly dangerous and critical systems today should fulfill their functionality for 30–50 years or more (nuclear power, cosmonautics, transport systems, including oil and gas trunk pipelines. Therefore, for such complexes it is extremely important to know the durability indicators in advance (resource, service ...
V.A. Ostreykovskiy, A.V. Sorochkin
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Partial Differential Equations, Spectral Theory, and Mathematical Physics [PDF]
, 2021 We give the asymptotic behavior of the ground state energy of Engel's and Dreizler's relativistic Thomas-Fermi-Weizs cker-Dirac functional for heavy atoms for fixed ratio of the atomic number and the velocity of light. Using a variation of the lower bound, we show stability of matter.
Rupert L. Frank +2 more
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Spectral Theory and Mathematical Physics: A Festschrift in Honor of Barry Simon’s 60th Birthday
, 2007 A number of topics in the qualitative spectral analysis of the Schr dinger operator $- + V$ are surveyed. In particular, some old and new results concerning the positivity and semiboundedness of this operator as well as the structure of different parts of its spectrum are considered.
Fritz Gesztesy +4 more
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Numerical Analysis of Spectral Methods: Theory and Application (CBMS-NSF Regional Conference Series in Applied Mathematics) [PDF]
Journal of Applied Mechanics, 1978 David Gottlieb +2 more
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B. D. Sleeman Multiparameter spectral theory in Hilbert space (Research Notes in Mathematics 22, Pitman, 1978), 118 p. £6·00. [PDF]
Proceedings of the Edinburgh Mathematical Society, 1981 G. F. Roach
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Introduction to Spectral Theory in Hilbert Space, by G. M. Helmberg. iii + 346 pages. Series in Applied Mathematics and Mechanics, North-Holland, Amsterdam, 6, 1969. U.S. $19.50. [PDF]
Canadian Mathematical Bulletin, 1972 J. C. Alexander
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H. R. Dowson, Spectral Theory of Linear Operators (London Mathematical Society Monographs No. 12, Academic Press, 1978), xii + 422 pp., £20·00. [PDF]
Proceedings of the Edinburgh Mathematical Society, 1980 T. A. Gillespie
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