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  • Articles  (70)
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  • Mathematics  (47)
  • Architecture, Civil Engineering, Surveying  (23)
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  • Articles  (70)
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  • 1
    Electronic Resource
    Electronic Resource
    Three interacting particles in one dimension: An algebraic approach (1988)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 29 (1988), S. 155-168 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: An algebraic formulation of the problem of three particles in one dimension is given, where the particles interact with delta function potentials of arbitrary strength and have almost arbitrary mass. An algebraic formulation is taken to mean that the steps implied from formulation to solution involve finite algebra. The canonical example is equal mass particles interacting with equal strength delta function potentials, where the Bethe ansatz holds and the solution involves only sums of products of matrices with elements that are rational functions of a complex variable. When the Bethe ansatz fails the Sommerfeld diffraction ansatz is satisfied if a condition of internal consistency is met. This condition of internal consistency requires the solution to a Riemann–Hilbert functional equation with an algebraic coefficient. The solution to this functional equation is an analytic, but not generally a meromorphic function. It is demonstrated that an asymptotic solution may be constructed within the domain of algebraic functions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528168
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  • 2
    Electronic Resource
    Electronic Resource
    Algebraic structures of degenerate systems and the indefinite metric (1987)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 28 (1987), S. 559-572 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is shown that the indefinite metric structures of degenerate systems as given by Strocchi and Wightman [F. Strocchi and A. S. Wightman, J. Math. Phys. 15, 2198 (1974); 17, 1930 (1976)] arise in a natural fashion from the algebraic structure of such systems, where the latter has been developed in a C*-context by Grundling and Hurst [H. B. G. S Grundling and C. A. Hurst, Commun. Math. Phys. 98, 369 (1985)]. Auxiliary concepts like gauge equivalence are examined, and the preceding general theory is specialized to the situation of linear boson fields with linear Hermitian constraints. Two examples of this situation are given—a one-dimensional scalar boson in a periodic universe and Landau gauge electromagnetism.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527641
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  • 3
    Electronic Resource
    Electronic Resource
    Realizing 3-cocycles as obstructions (1995)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 36 (1995), S. 2605-2620 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The occurrence of a 3-cocycle in quantum mechanics or quantum field theory has been interpreted somewhat paradoxically as a breakdown of the Jacobi identity. The main result of this paper is that the 3-cocycle in chiral QCD arises as an obstruction which prevents the existence of a certain extension of one Lie algebra by another. This obstruction may be avoided by constructing a modified Lie algebra extension consisting of derivations on the algebra generated by the fields. However the 3-cocycle then appears when an attempt is made to implement these derivations by commutation with unbounded operators in the canonical equal-time formalism. Assuming the existence of these unbounded operators is what leads to the violation of the Jacobi identity. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.531054
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  • 4
    Electronic Resource
    Electronic Resource
    Why the adjoining owner's surveyor needs an engineer (2000)
    Bingley : Emerald
    Structural survey 18 (2000), S. 228-230 
    Details
    ISSN: 0263-080X
    Source: Emerald Fulltext Archive Database 1994-2005
    Topics: Architecture, Civil Engineering, Surveying
    Notes: This paper explains the reasons for the appointment of an engineer by an adjoining owner's surveyor in the context of party wall and adjacent excavation works. Recent changes in contract procedures and professional relationships, together with associated downward pressures on fees, are identified as having contributed to a vulnerability for adjoining owners in these circumstances. The engineer's role in scrutinising temporary works is therefore demonstrated to provide an increasingly important safeguard for adjoining owners.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1108/02630800010360074
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  • 5
    Electronic Resource
    Electronic Resource
    Can anyone reward safe driving?
    Amsterdam : Elsevier
    Accident Analysis and Prevention 12 (1980), S. 217-220 
    Details
    ISSN: 0001-4575
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Architecture, Civil Engineering, Surveying , Psychology
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0001-4575(80)90022-6
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  • 6
    Electronic Resource
    Electronic Resource
    Traffic officers' attitudes toward blood alcohol law enforcement
    Amsterdam : Elsevier
    Accident Analysis and Prevention 12 (1980), S. 259-266 
    Details
    ISSN: 0001-4575
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Architecture, Civil Engineering, Surveying , Psychology
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0001-4575(80)90002-0
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  • 7
    Electronic Resource
    Electronic Resource
    Amphetamines and driving behavior
    Amsterdam : Elsevier
    Accident Analysis and Prevention 8 (1976), S. 9-13 
    Details
    ISSN: 0001-4575
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Architecture, Civil Engineering, Surveying , Psychology
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0001-4575(76)90027-0
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  • 8
    Electronic Resource
    Electronic Resource
    Collisions between cyclists and motorists in New Zealand
    Amsterdam : Elsevier
    Accident Analysis and Prevention 15 (1983), S. 137-151 
    Details
    ISSN: 0001-4575
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Architecture, Civil Engineering, Surveying , Psychology
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0001-4575(83)90069-6
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  • 9
    Electronic Resource
    Electronic Resource
    Compulsory seatbelt use: Further inferences
    Amsterdam : Elsevier
    Accident Analysis and Prevention 11 (1979), S. 27-33 
    Details
    ISSN: 0001-4575
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Architecture, Civil Engineering, Surveying , Psychology
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0001-4575(79)90036-8
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  • 10
    Electronic Resource
    Electronic Resource
    Blood test legislation in New Zealand
    Amsterdam : Elsevier
    Accident Analysis and Prevention 10 (1978), S. 287-296 
    Details
    ISSN: 0001-4575
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Architecture, Civil Engineering, Surveying , Psychology
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0001-4575(78)90031-3
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