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  • 1
    Electronic Resource
    Electronic Resource
    The Berry connection and Born–Oppenheimer method (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 977-989 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: By performing the most general Born–Oppenheimer procedure, the (non-Abelian) Berry connection for quantum systems in a quantum environment is derived. This method is then applied to the rapid rotation of a particle about a slowly changing axis, as exemplified by the electronic motion of a diatomic molecule. The angular part of the resulting dynamics for the quantum environment is equivalent to that of a monopole.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529751
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Representation theory of superconformal quantum mechanics (1988)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 29 (1988), S. 1163-1170 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The analogy between the representations of SU(1,1/1) and SU(2,2/1) is explained and used to suggest the latter as a spectrum supergroup of superconformal relativistic quantum mechanics for systems with rotational degrees of freedom.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.527959
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Difference of observability between classical electromagnetic and gravitational gauge fields (1979)
    Springer
    International journal of theoretical physics 18 (1979), S. 295-304 
    Details
    ISSN: 1572-9575
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract An analysis of the observability of the classical electromagnetic gauge field based in its quantum effects shows that this is physically determined up to equivalences. By contrast a similar analysis of the gravitational gauge field from Einstein's General Relativity theory shows that this field is univocally determined by the trajectories of material particles provided they feel only that gravitational field, and its proper gravitational and quantum effects are negligible. This difference of observability in both kinds of gauge fields is caused by the attachment of the gravitational field in the Einstein theory to the space-time, and this difference must be taken into account to formulate unified gauge theories with both kinds of fields.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00671766
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    Paper (German National Licenses)
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