Library

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
  • 1
    Electronic Resource
    Electronic Resource
    The general decomposition theory of SU(2) gauge potential, topological structure and bifurcation of SU(2) Chern density (1998)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 4343-4355 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: By means of the geometric algebra the general decomposition of SU(2) gauge potential on the sphere bundle of a compact and oriented four-dimensional manifold is given. Using this decomposition theory the SU(2) Chern density has been studied in detail. It shows that the SU(2) Chern density can be expressed in terms of the δ-function δ(φ). One can also find that the zero points of the vector fields φ are essential to the topological properties of a manifold. It is shown that there exists the crucial case of branch process at the zero points. Based on the implicit function theorem and the Taylor expansion, the bifurcation of the Chern density is detailed in the neighborhoods of the bifurcation points of φ. It is pointed out that, since the Chern density is a topological invariant, the sum topological chargers of the branches will remain constant during the bifurcation process. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532515
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Topological tensor current of p˜-branes in the φ-mapping theory (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 4379-4386 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We present a new topological tensor current of p˜-branes by making use of the φ-mapping theory. It is shown that the current is identically conserved and behaves as δ(φ(vector)), and every isolated zero of the vector field φ(vector)(x) corresponds to a "magnetic" p˜-brane. Using this topological current, the generalized Nambu action for multi p˜-branes is given, and the field strength F corresponding to this topological tensor current is obtained. It is also shown that the magnetic charges carried by p˜-branes are topologically quantized and labeled by Hopf index and Brouwer degree, the winding number of the φ mapping. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.533347
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    The topological structure of the space–time disclination (1998)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 6696-6705 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The space–time disclination is studied by making use of the decomposition theory of gauge potential in terms of the antisymmetric tensor field and φ-mapping method. It is shown that the self-dual and anti-self-dual parts of the curvature compose the space–time disclinations which are classified in terms of topological invariants—winding number. The projection of space–time disclination density along an antisymmetric tensor field is quantized topologically and characterized by Brouwer degree and Hopf index. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532650
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    Topological structure of Gauss–Bonnet–Chern density and its topological current (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 1149-1161 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The decomposition of spin connection on the sphere bundle of a compact and oriented even-dimensional Riemannian manifold is detailed. It is shown that the Gauss–Bonnet–Chern form can be expressed in terms of a smooth vector field Φ and taken the form of the δ function δ(Φ). The topological current of the Gauss–Bonnet–Chern theorem and its topological structure are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530190
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    The Bifurcation of the Topological Structure in the Sunspot's Electric Topological Current with Locally Gauge-invariant Maxwell-Chern-Simons Term (1999)
    Springer
    Astrophysics and space science 268 (1999), S. 455-468 
    Details
    ISSN: 1572-946X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The topological structure of the electric topological current of the locally gauge invariant Maxwell-Chern-Simons Model and its bifurcation is studied. The electric topological charge is quantized in term of winding number. The Hopf indices and Brouwer degree labeled the local topological structure of the electric topological current. Using Φ-mapping method and implicit function theory, the electric topological current is found generating or annihilating at the limit points and splitting or merging at the bifurcate points. The total electric charge holds invariant during the evolution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1002083106965
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    The quantum groupSUq(2) andq-analog of angular momentum operators in quantum mechanics (1994)
    Springer
    International journal of theoretical physics 33 (1994), S. 1229-1235 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present three operators in quantum mechanics that obey the commutation relations of quantum groupSUq(2). These operators are nonlinear combinations of the conventional angular momentum operators and are called the quantumq-analog angular momentum operators. When the quantum deformation parameterr = Inq vanishes, these quantumq-analog angular momentum operators reduce to the usual angular momentum operators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00670788
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Topological Quantization of Magnetic Monopoles and Their Bifurcation Theory (1998)
    Springer
    International journal of theoretical physics 37 (1998), S. 2371-2382 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using SU(2) gauge field theory and theφ-mapping method, we quantize the magnetic monopolesat the topological level and determine their quantumnumbers by the Hopf indices and Brouwer degrees of the φ-mapping. Then, based on the implicitfunction theorem and Taylor expansion, we study theorigin and bifurcation theories of magnetic monopoles atthe limit points and bifurcation points (includingfirst-order and second-order degenerate points),respectively. We point out that a magnetic monopole cansplit into at most four particles at one time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026615025005
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    Strings and the Gauge Theory of Spacetime Defects (1999)
    Springer
    International journal of theoretical physics 38 (1999), S. 563-573 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present a new topological invariant todescribe space-time defects which is closely related tothe torsion tensor in a Riemann–Cartan manifold.By virtue of the topological current theory andφ-mapping method, we show that there must existmultistring objects generated from the zero points ofthe φ-mapping. These strings are topologicallyquantized. The topological quantum numbers are thewinding numbers described by the Hopf indices and the Brouwerdegrees of the φ-mapping.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026642904416
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    Topological Invariant in Riemann–Cartan Manifold and Space-Time Defects (1998)
    Springer
    International journal of theoretical physics 37 (1998), S. 2953-2964 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In a Riemann–Cartan manifold a topologicalinvariant is constructed in terms of the torsion tensor.Using the φ-mapping method and the completedecomposition of the gauge potential, the topologicalinvariant is extricated from a strong restrictivecondition and is quantized in units of an elementarylength. This topological invariant is linked to thefirst Chern class and its inner structure is labeled bya set of winding numbers. In the early universe,by extending to a gauge parallel basis in internal spaceand four analogous topological invariants, thespace-time defects are formulated in an invariant form and are quantized naturally in units of thePlanck length.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1026631712652
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    The Origin and Bifurcation of the Space-Time Defects in the Early Universe (1997)
    Springer
    General relativity and gravitation 29 (1997), S. 715-725 
    Details
    ISSN: 1572-9532
    Keywords: RIEMANN-CARTAN SPACE-TIME ; TORSION ; DISLOCATION
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In the early universe, a new topological invariant is interpreted as the space-time dislocation flux and is quantized in the topological level. By extending to a topological current of dislocations, the dynamic form of the defects is obtained under the condition that the Jacobian determinant D(φ/u) ≠ 0. When D(φ/u) = 0, it is shown that there exists the crucial case of branch process. Based on the implicit function theorem and the Taylor expansion, the origin and bifurcation of the space-time dislocations are detailed in the neighborhoods of the limit points and bifurcation points of φ-mapping, respectively. It is pointed out that, since the dislocation current is identically conserved, the total topological quantum numbers of the branched dislocation fluxes will remain constant during their origin and bifurcation processes, which are important in the early universe because of spontaneous symmetry breaking.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1018881821774
    Library Location Call Number Volume/Issue/Year Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...