Výsledky vyhledávání - "Reinhard Honegger"

Akademický článek

On wave-like differential equations in general Hilbert space with application to Euler–Bernoulli bending vibrations of a beam

Autor: Reinhard Honegger, Michael Lauxmann, Barbara Priwitzer

Publikováno v: Partial Differential Equations in Applied Mathematics, Vol 9, Iss , Pp 100617- (2024)

Wave-like differential equations occur in many engineering applications. Here the engineering setup is embedded into the framework of functional analysis of modern mathematical physics. After an overview, the L2–Hilbert space approach to free Euler

Externí odkaz: https://doaj.org/article/afbd6e9c83ab4ba38c58f67dcc20ccb2

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Akademický článek

Field-Theoretic Weyl Deformation Quantization of Enlarged Poisson Algebras

Autor: Lothar Schlafer, Alfred Rieckers, Reinhard Honegger

Publikováno v: Symmetry, Integrability and Geometry: Methods and Applications, Vol 4, p 047 (2008)

C*-algebraic Weyl quantization is extended by allowing also degenerate pre-symplectic forms for the Weyl relations with infinitely many degrees of freedom, and by starting out from enlarged classical Poisson algebras. A powerful tool is found in the

Externí odkaz: https://doaj.org/article/be7870547f244abba049e0ec93ccab23

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Elektronická kniha

Photons In Fock Space And Beyond (In 3 Volumes)

Autor: Reinhard Honegger, Alfred Rieckers

The three-volume major reference “Photons in Fock Space and Beyond” undertakes a new mathematical and conceptual foundation of the theory of light emphasizing mesoscopic radiation systems. The quantum optical notions are generalized beyond Fock r

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Some continuous field quantizations, equivalent to the $C\sp \ast$-Weyl quantization

Autor: Alfred Rieckers, Reinhard Honegger

Publikováno v: Publications of the Research Institute for Mathematical Sciences. 41:113-138

Starting from a (possibly infinite dimensional) pre-symplectic space (E, ), we study a class of modified Weyl quantizations. For each value of the real Planck parameter ~ we have a C*-Weyl algebra W(E,~ ), which altogether constitute a con- tinuous f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::50810faf81e688d9f3a9e19579fbe127
https://doi.org/10.2977/prims/1145475406

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Non-classicality and coherence of squeezed states

Autor: Reinhard Honegger, Alfred Rieckers

Publikováno v: Physica A: Statistical Mechanics and its Applications. 335:487-510

After having set up a concise frame for pure and mixed all-order coherent states, we let them undergo a rather general squeezing transformation. These squeezed states are always non-classical, but some—apparently experimentally preparable—of them

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6eb7ad03f862ecf5ec212a15c89cee67
https://doi.org/10.1016/j.physa.2003.12.022

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Field-theoretic Weyl Quantization as a Strict and Continuous Deformation Quantization

Autor: Ernst Binz, Reinhard Honegger, Alfred Rieckers

Publikováno v: Annales Henri Poincaré. 5:327-346

For an arbitrary (possibly infinite-dimensional) pre-symplectic test function space $ (E, \sigma) $ the family of Weyl algebras $ \{\mathcal{W}(E, \hbar\sigma)\}_{\hbar\in\mathbb{R}} $ , introduced in a previous work [1], is shown to constitute a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::72508ffeccf2dd30e043dd7dae26bd3c
https://doi.org/10.1007/s00023-004-0171-y

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Algebraic Quantum Theory of the Josephson Microwave Radiator

Autor: Reinhard Honegger, Alfred Rieckers, Thomas Gerisch

Publikováno v: Annales Henri Poincaré. 4:1051-1082

A closed, entirely quantum mechanical Josephson oscillator model is considered, consisting of two superconductors in tunneling contact, which weakly interact with the photon field. For each superconductor we use, for notational simplicity, the BCS mo

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::1479eddd997904df4d2108025a6ea94c
https://doi.org/10.1007/s00023-003-0155-3

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[Untitled]

Autor: Reinhard Honegger, Alfred Rieckers

Publikováno v: Letters in Mathematical Physics. 64:31-44

Employing positive-definiteness arguments we analyse Boson field states, which combine classical and quantum mechanical features (signal and noise), in a constructive manner. Mathematically, they constitute Bauer simplexes within the convex, weak-*-c

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::f335d7a677e2438833e377e827525854
https://doi.org/10.1023/a:1024972815695

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