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  • 1
    Electronic Resource
    Electronic Resource
    Loop gauge theory and group cohomology (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 584-591 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A generalized fiber bundle model in which the fibers are Hilbert spaces is studied. Unitary transformations are used to define a unitary isomorphism ("parallelism'') among them. The Weyl group is first used to "connect'' the projective Hilbert spaces (ray spaces) and to introduce a one-form connection that defines which coset at a point y is parallel to a given coset at another point x. Then, the central extension of the Weyl group by U(1)' is studied in order to introduce the most general mapping between the elements of these cosets. This leads to a two-form connection and makes the model a good candidate for a fiber bundle approach to string theories.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527643
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  • 2
    Electronic Resource
    Electronic Resource
    Coherent states on the m-sheeted covering group of SU(1,1) (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 1223-1235 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Coherent states associated with the m-sheeted covering group of SU(1,1) are considered and such properties as overcompleteness and resolution of the identity are studied. They are used to define analytic representations in which the transformations of the m-sheeted covering group of SU(1,1) are implemented as extended Mobius conformal mappings. Applications of this formalism in the study of Hamiltonians that describe m-particle clustering are also considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530197
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  • 3
    Electronic Resource
    Electronic Resource
    Coherent states on the m-sheeted complex plane (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 2687-2697 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Coherent states on the m-sheeted complex plane are introduced and properties like overcompleteness and resolution of the identity are studied. Operators am+, am which create and annihilate clusters of m particles are considered and it is shown that the properties of our coherent states with respect to them are analogous to the properties of the ordinary (Glauber) coherent states with respect to a+, a. An extended Bargmann representation in the m-sheeted complex plane and P and Q representations with respect to our coherent states, are studied. Applications of this formalism in the study of Hamiltonians that describe m-particle clustering are also considered.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530531
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  • 4
    Electronic Resource
    Electronic Resource
    SU(2) coherent states on an m-sheeted covering of the sphere (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 4757-4773 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: SU(2) coherent states on an m-sheeted covering of the sphere are introduced, and properties like overcompleteness and resolution of the identity are studied. Operators J+(m), J−(m), Jz(m) that obey the SU(2) algebra but shift the ||jn〉 states by m steps are considered, and it is shown that the properties of our coherent states with respect to them are analogous to the properties of the standard SU(2) coherent states with respect to the usual angular momentum operators J+, J−, Jz. An extended SU(2) Bargmann representation on an m-sheeted sphere is introduced in which the transformations of an m-sheeted covering of the SU(2) group are implemented as extended Mobius conformal mappings. The formalism is applied in the study of Hamiltonians that contain the operators J+(m), J−(m), Jz(m) and describe processes where the state of a particle is shifted by m steps. The method is also used in the context of both the Holstein–Primakoff and Schwinger representation of SU(2). © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530918
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  • 5
    Electronic Resource
    Electronic Resource
    Information theory approach to quantum non-demolition measurements
    Amsterdam : Elsevier
    Optics Communications 76 (1990), S. 164-168 
    Details
    ISSN: 0030-4018
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0030-4018(90)90313-I
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  • 6
    Electronic Resource
    Electronic Resource
    Orbital classical solutions, non-perturbative phenomena and singularity at the zero coupling constant point
    Amsterdam : Elsevier
    Nuclear Physics, Section B 195 (1982), S. 173-188 
    Details
    ISSN: 0550-3213
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0550-3213(82)90053-0
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  • 7
    Electronic Resource
    Electronic Resource
    Initial energy density distribution in high energy heavy ion reactions
    Amsterdam : Elsevier
    Physics Letters B 214 (1988), S. 657-659 
    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(88)90138-4
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  • 8
    Electronic Resource
    Electronic Resource
    Vortices in Josephson arrays interacting with non-classical microwaves: The effect of dissipation (2003)
    Springer
    The European physical journal 32 (2003), S. 279-285 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 74.50.+r Tunneling phenomena; point contacts, weak links, Josephson effects – 85.25.Dq Superconducting quantum interference devices (SQUIDs) – 42.50.Dv Nonclassical states of the electromagnetic field, including entangled photon states; quantum state engineering and measurements
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Vortices circulating in a ring made from a Josephson array in the insulating phase are studied. The ring contains a `dual Josephson junction' through which the vortices tunnel. External non-classical microwaves are coupled to the device. The time evolution of this two-mode fully quantum mechanical system is studied, taking into account the dissipation in the system. The effect of the quantum statistics of the photons on the quantum statistics of the vortices is discussed. Entropic calculations quantify the entanglement between the two systems. Quantum phenomena in the system are also studied through Wigner functions. After a certain time (which depends on the dissipation parameters) these quantum phenomena are destroyed due to dissipation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2003-00098-2
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  • 9
    Electronic Resource
    Electronic Resource
    Superpositions of macroscopically distinguishable states in the presence of thermal noise
    Amsterdam : Elsevier
    Optics Communications 91 (1992), S. 236-240 
    Details
    ISSN: 0030-4018
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0030-4018(92)90445-W
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  • 10
    Electronic Resource
    Electronic Resource
    General two-mode squeezed states (1988)
    Springer
    The European physical journal 71 (1988), S. 527-529 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The states $$\hat \theta $$ |A 1 A 2〉 are considered, where the operators $$\hat \theta $$ are associated with a unitary representation of the groupSp(4,ℝ), and the two-mode Glauber coherent states |A 1 A 2〉 are joint eigenstates of the destruction operatorsa 1 anda 2 for the two independent oscillator modes. We show that they are ordinary coherent states with respect to new operatorsb 1 andb 2, which are themselves general linear (Bogolibov) transformations of the original operatorsa 1,a 2 and their hermitian conjugatesa δ 1 ,a δ 2 . We further show how they may be regarded as the most general two-mode squeezed states. Most previous work on two-mode squeezed states appears to be based on more restrictive definitions than our own, and thereby reduces to special cases which are unified within our treatment.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01313941
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