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  • American Institute of Physics (AIP)  (4)
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  • 1
    Electronic Resource
    Electronic Resource
    Off-diagonal long range order and superconductive electrodynamics (1997)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 38 (1997), S. 2053-2071 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We present a general, model-independent, quantum statistical derivation of superconductive electrodynamics from the assumptions of off-diagonal long range order (ODLRO), local gauge covariance, and thermodynamic stability. On this basis, we obtain the Meissner and Josephson effects, the quantization of trapped magnetic flux, and the metastability of supercurrents. A key to these results is that the macroscopic wave function, specified by the ODLRO condition, enjoys the rigidity property that London [Superfluids, Vol. 1 (Wiley, London, 1950)], envisaged for the microstate of a superconductor. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532193
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    New structures in the theory of the laser model. II. Microscopic dynamics and a nonequilibrium entropy principle (1998)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 2730-2747 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In a recent article, Alli and Sewell [J. Math. Phys. 36, 5598 (1995)] formulated a new version of the Dicke–Hepp–Lieb laser model in terms of quantum dynamical semigroups, and thereby extended the macroscopic picture of the model. In the present article, we complement that picture with a corresponding microscopic one, which carries the following new results. (a) The local microscopic dynamics of the model is piloted by the classical, macroscopic field, generated by the collective action of its components; (b) the global state of the system carries no correlations between its constituent atoms after transient effects have died out; and (c) in the latter situation, the state of the system at any time t maximizes its entropy density, subject to the constraints imposed by the instantaneous values of its macroscopic variables. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532417
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  • 3
    Electronic Resource
    Electronic Resource
    New methods and structures in the theory of the multi-mode Dicke laser model (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 5598-5626 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We base a treatment of the dissipative, multi-mode version of Dicke laser model on the theory of completely positive dynamical semigroups and quantum Markov processes. This leads to new results at both the mathematical and physical levels. On the physical side, it provides a generalization of the Hepp–Lieb model that admits both chaotic and polychromatic laser radiation. On the mathematical side, it extends the theory of dynamical semigroups to a regime where the generators are perturbed by unbounded derivations. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531279
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  • 4
    Electronic Resource
    Electronic Resource
    Quantum statistical derivation of the hydrodynamics of a plasma model (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2324-2334 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We derive macroscopic electrohydrodynamical equations of Euler and Maxwell from the many-particle Schrödinger equation of the Jellium model, subject to viable initial conditions, together with certain simple assumptions of macroscopic regularity. The dynamics of the model becomes tractable, on a suitable macroscopic scale and in the limit where its size becomes infinite, because of simple scaling properties and the long range of the Coulomb forces. Our derivation of its phenomenological dynamics is obtained via that of the classical Vlasov equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526816
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