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  • 1
    Electronic Resource
    Electronic Resource
    Wick's theorem for nonsymmetric normal ordered products and contractions (1998)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 5726-5738 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We consider arbitrary splits of field operators into two parts; ψ=ψ++ψ−, and use the corresponding definition of normal ordering introduced earlier [T. S. Evans and D. A. Steer, Nucl. Phys. B 474, 481 (1996)]. In this case the normal ordered products and contractions have none of the special symmetry properties assumed in existing proofs of Wick's theorem. Despite this, we prove that Wick's theorem still holds in its usual form as long as the contraction is a c-number. Wick's theorem is thus shown to be much more general than existing derivations suggest, and we discuss possible simplifying applications of this result. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532589
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  • 2
    Electronic Resource
    Electronic Resource
    Vortex formation in neutron-irradiated superfluid 3 He as an analogue of cosmological defect formation (1996)
    [s.l.] : Nature Publishing Group
    Nature 382 (1996), S. 334-336 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] Laboratory experiments intended to test different theories of cosmological defect formation have recently been conducted in liquid crystals7'8 and superfluid 4He (ref. 9). Use of the superfluid phases of liquid 3He allows further progress in these Big Bang simulations. 3He has several advantages ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/382334a0
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  • 3
    Electronic Resource
    Electronic Resource
    Phase transitions: Cosmology in the laboratory (1985)
    [s.l.] : Nature Publishing Group
    Nature 317 (1985), S. 472-472 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] AT FIRST sight it may be surprising that useful information about the processes leading to the formation of the largest structures in the Universe could come from small-scale laboratory experiments. Yet just such a bold proposal is made by W. H. Zurek on page 505 of this issue1. The proposed ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/317472a0
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  • 4
    Electronic Resource
    Electronic Resource
    On phase ordering behind the propagating front of a second-order transition (1997)
    Springer
    JETP letters 65 (1997), S. 102-107 
    Details
    ISSN: 1090-6487
    Keywords: 11.27.+d ; 67.40.Vs ; 67.57.Fg ; 98.80.Cq
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In a real system the heating is nonuniform, and a second-order phase transition to a broken-symmetry phase occurs by propagation of a temperature front. Two parameters, the cooling rate τ Q and the transition front velocity ν T determine the nucleation of topological defects. Depending on the relation of these parameters, two regimes are found: in the regime of fast propagation defects are created according to the Zurek scenario for the homogeneous case, while in the slow-propagation regime vortex formation is suppressed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1134/1.567332
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  • 5
    Electronic Resource
    Electronic Resource
    Geometrization of quantum mechanics (1979)
    Springer
    Communications in mathematical physics 65 (1979), S. 189-201 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Quantum mechanics is cast into a classical Hamiltonian form in terms of a symplectic structure, not on the Hilbert space of state-vectors but on the more physically relevant infinite-dimensional manifold of instantaneous pure states. This geometrical structure can accommodate generalizations of quantum mechanics, including the nonlinear relativistic models recently proposed. It is shown that any such generalization satisfying a few physically reasonable conditions would reduce to ordinary quantum mechanics for states that are “near” the vacuum. In particular the origin of complex structure is described.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01225149
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  • 6
    Electronic Resource
    Electronic Resource
    Relativistic models of nonlinear quantum mechanics (1978)
    Springer
    Communications in mathematical physics 64 (1978), S. 73-82 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract I present and discuss a class of nonlinear quantum-theory models, based on simple relativistic field theories, in which the parameters depend on the state of the system via expectation values of local functions of the fields.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01940762
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