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  • 1
    Electronic Resource
    Electronic Resource
    Quantum field theory on the noncommutative plane with Eq(2) symmetry (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 1647-1671 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We study properties of a scalar quantum field theory on the two-dimensional noncommutative plane with Eq(2) quantum symmetry. We start from the consideration of a firstly quantized quantum particle on the noncommutative plane. Then we define quantum fields depending on noncommutative coordinates and construct a field theoretical action using the Eq(2)-invariant measure on the noncommutative plane. With the help of the partial wave decomposition we show that this quantum field theory can be considered as a second quantization of the particle theory on the noncommutative plane and that this field theory has (contrary to the common belief) even more severe ultraviolet divergences than its counterpart on the usual commutative plane. Finally we introduce the symmetry transformations of physical states on noncommutative spaces and discuss them in detail for the case of the Eq(2) quantum group. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533201
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  • 2
    Electronic Resource
    Electronic Resource
    Quantum Poincaré group without dilatation and twisted classical algebra (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 398-413 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A quantum deformation of a Poincaré group was constructed using as a starting point SU(2,2) conformal group and twistorlike definition of the Minkowski space. This leads to a pure twisted quantum Poincaré group. The relative simplicity of the q deformation permits one to find out the important properties of the q groups of the space–time transformations. In particular, it is shown that the geometrical meaning of the twisting is the transition to the another space–time coordinates frame, so that one can freely choose the most convenient deformation among the ones related to each other by twists. The small subgroup used in the induced representation construction is proven to be twisted with respect to initial q group. This last fact means that commutation relations for creation and destruction operators are not strongly defined by the q group of the space–time transformations. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531314
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  • 3
    Electronic Resource
    Electronic Resource
    The Casimir operators of inhomogeneous groups (1983)
    Springer
    Communications in mathematical physics 90 (1983), S. 353-372 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We have found the number of invariant operators for the inhomogeneous groups IGL(n, R), ISL(n, R), ISO(p, q), IU(p, q), ISU(p, q), ISp(2n), i.e. the inhomogeneous groups with the classical homogeneous subgroups, and also for the Weyl group W(p, q). For some special cases explicit forms of the invariant operators are obtained. We also discuss the methods applied, together with problems in some cases, possible further developments and relevance for the supersymmetric theories.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01206887
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  • 4
    Electronic Resource
    Electronic Resource
    The influence of long, high-temperature holds on the structure and mechanical properties of niobium and NV-7 alloy (1981)
    Springer
    Materials science 17 (1981), S. 189-193 
    Details
    ISSN: 1573-885X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00722911
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  • 5
    Electronic Resource
    Electronic Resource
    Effect of prolonged high-temperature soaking on the strength of alloy 5VMTs (1978)
    Springer
    Materials science 14 (1978), S. 585-589 
    Details
    ISSN: 1573-885X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01159988
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  • 6
    Electronic Resource
    Electronic Resource
    Space-time noncommutativity, discreteness of time and unitarity (2001)
    Springer
    The European physical journal 20 (2001), S. 767-772 
    Details
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract. Violation of unitarity for noncommutative field theory on compact space-times is considered. Although such theories are free of ultraviolet divergences they still violate unitarity, while in a usual field theory such a violation occurs when the theory is nonrenormalizable. The compactness of space-like coordinates implies discreteness of the time variable which leads to the appearance of unphysical modes and violation of unitarity even in the absence of a star-product in the interaction terms. Thus, this conclusion holds also for other quantum field theories with discrete time. Violation of causality, among others, occurs also in the case of the nonvanishing of the commutation relations between observables at space-like distances with a typical scale of noncommutativity. While this feature allows for a possible violation of the spin-statistics theorem, such a violation does not rescue the situation but makes causality violation scale as the inverse of the mass appearing in the considered model, i.e., it becomes even more severe. We also stress the role of smearing over the noncommutative coordinates entering the field operator symbols.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s100520100664
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  • 7
    Electronic Resource
    Electronic Resource
    q-path integrals (1996)
    Springer
    Czechoslovak journal of physics 46 (1996), S. 155-162 
    Details
    ISSN: 1572-9486
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We construct path integral representations for the evolution operator ofq-oscillators using Bargmann-Fock representations with commuting and non-commuting variables, the differential calculi beingq-deformed for both types of variables. The cases of real and root of unity values ofq-parameter are considered. Forq 2=−1 case we obtain a new form of Grassmann-like path integral.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01688806
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  • 8
    Electronic Resource
    Electronic Resource
    BRST quantization of one-dimensional gravity (1990)
    Springer
    Theoretical and mathematical physics 84 (1990), S. 877-886 
    Details
    ISSN: 1573-9333
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01017686
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