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1

Digitale Medien

The Berry connection and Born–Oppenheimer method (1992)

Bohm, A. ; Kendrick, B. ; Loewe, Mark E. ; [weitere]

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 33 (1992), S. 977-989

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.529751

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2

Digitale Medien

Representation theory of superconformal quantum mechanics (1988)

Bohm, A. ; Kmiecik, M. ; Boya, L. J.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 29 (1988), S. 1163-1170

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ISSN: 1089-7658

Quelle: AIP Digital Archive

Thema: Mathematik , Physik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1063/1.527959

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3

Digitale Medien

Difference of observability between classical electromagnetic and gravitational gauge fields (1979)

Asorey, M. ; Boya, L. J.

Springer

International journal of theoretical physics 18 (1979), S. 295-304

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ISSN: 1572-9575

Quelle: Springer Online Journal Archives 1860-2000

Thema: Physik

Notizen: 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.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF00671766

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