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  • 1
    Electronic Resource
    Electronic Resource
    Ergodicity and invariant measures of some randomly perturbed classical fields (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 3463-3472 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Time evolution, ergodic properties, and invariant measures of some classical fields described by second-order differential equations are discussed. The classical system is not ergodic. A class of Markovian random perturbations is considered. It is shown that the stochastic system with a fixed stochastic perturbation is uniquely ergodic. We discuss in detail the Euler equation in two dimensions and the wave equation in one dimension. In our models an arbitrarily small stochastic perturbation selects one of the invariant measures for the deterministic system.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529460
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  • 2
    Electronic Resource
    Electronic Resource
    Random dynamical systems of integrable quantum mechanics
    Amsterdam : Elsevier
    Physics Letters A 189 (1994), S. 261-267 
    Details
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0375-9601(94)90094-9
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  • 3
    Electronic Resource
    Electronic Resource
    Probabilistic representation of quantum dynamics
    Amsterdam : Elsevier
    Physics Letters A 175 (1993), S. 371-376 
    Details
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0375-9601(93)90984-8
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  • 4
    Electronic Resource
    Electronic Resource
    Feynman integral in regularized nonrelativistic quantum electrodynamics (1998)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 1766-1787 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We express the unitary time evolution in nonrelativistic regularized quantum electrodynamics at zero and positive temperature by a Feynman integral defined in terms of a complex Brownian motion. An average over the quantum electromagnetic field determines the form of the quantum mechanics in an environment of a quantum black body radiation. In this nonperturbative formulation of quantum electrodynamics we prove the existence of the classical limit (h-dash-bar)→0. We estimate an error to some approximations commonly applied in quantum radiation theory. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532263
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  • 5
    Electronic Resource
    Electronic Resource
    Stochastic interpretation of Feynman path integral (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 6344-6359 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A class of functions HnF was chosen, which are boundary values of holomorphic functions. It was shown that if the potential V∈HnF and the initial wave function ψ∈HnF then the solution of the Schrödinger equation is ψt∈HnF. The unitary evolution ψ → ψt can be expressed by an integral with respect to the Wiener measure. To each ψt∈HnF is associated a complex Markov process qt fulfilling stochastic Hamilton equations. The time evolution of ψ as well as multitime correlation functions of arbitrary observables in quantum mechanics take the form of expectation values with respect to qt. Some statistical and ergodic aspects of quantum mechanics resulting from the stochastic interpretation of Feynman's sum over trajectories are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530678
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  • 6
    Electronic Resource
    Electronic Resource
    Representations of the SL(2,C) Kac–Moody current algebra in the Fock space (1991)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 32 (1991), S. 19-23 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A representation of the SL(2,C) current algebra in terms of Hermitian currents constructed from free fields is obtained. The representation is not of the highest weight type. The restriction k≥4 on the Kac–Moody central charge k is obtained. If k=4, then the Sugawara construction defines the energy-momentum tensor equal to the energy-momentum tensor of the free-field theory.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529118
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  • 7
    Electronic Resource
    Electronic Resource
    Mossbauer spectroscopy of La-substituted magnetoplumbites
    Amsterdam : Elsevier
    Journal of Magnetism and Magnetic Materials 124 (1993), S. 27-30 
    Details
    ISSN: 0304-8853
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0304-8853(93)90065-A
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  • 8
    Electronic Resource
    Electronic Resource
    Bag with de sitter geometry
    Amsterdam : Elsevier
    Physics Letters B 78 (1978), S. 421-423 
    Details
    ISSN: 0370-2693
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0370-2693(78)90475-6
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  • 9
    Electronic Resource
    Electronic Resource
    Hölder continuity of sample paths in Euclidean field theory (1979)
    Springer
    Communications in mathematical physics 69 (1979), S. 247-256 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Hölder continuity of sample paths of the stochastic process ξ t (f)=ϕ(δ t f) (f ∈Y(R d−1)) in Euclidean field theory is proved under some assumptions on correlation functions. These assumptions are fulfilled inP(ϕ)2 and in theories in which the GHS inequality holds. The continuity index α is determined by the condition ∝dσ(p)|p 0|2α〈∞, wheredσ(p) is the Fourier transform of the two-point function.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01197446
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  • 10
    Electronic Resource
    Electronic Resource
    Master and Langevin equations for electromagnetic dissipation and decoherence of density matrices (2001)
    Springer
    The European physical journal 21 (2001), S. 553-560 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 03.65.-w Quantum mechanics – 03.65.Yz Decoherence; open systems; quantum statistical methods – 05.40.-a Fluctuation phenomena, random processes, noise, and Brownian motion – 05.45.-a Nonlinear dynamics and nonlinear dynamical systems
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We set up a forward - backward path integral for a point particle in a bath of photons to derive a master equation for the density matrix which describes electromagnetic dissipation and decoherence. We also derive the associated Langevin equation. As an application, we recalculate the Wigner-Weisskopf formula for the natural line width of an atomic state at zero temperature and find, in addition, the temperature broadening caused by the decoherence term. Our master equation also yields the correct Lamb shift of atomic levels. The two equations may have applications to dilute interstellar gases or to few-particle systems in cavities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100510170166
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