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  • 1
    Electronic Resource
    Electronic Resource
    The free Dirac operator on compact and noncompact graphs (1990)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 1157-1163 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The free Dirac operator defined on composite one-dimensional structures consisting of finitely many half-lines and intervals is investigated. The influence of the connection points between the constituents is modeled by transition conditions for the wave functions or equivalently by different self-adjoint extensions of the Dirac operator. General relations between the parameters of the extensions and the eigenvalues resp. the scattering coefficients are derived and then applied to the cases of a bundle of half-lines, a point defect, a branching line, and an eye-shaped structure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529025
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Deficiency indices and singular boundary conditions in quantum mechanics (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2520-2528 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: We consider Schrödinger operators H in L2(Rn), n ∈ N, with countably infinitely many local singularities of the potential which are separated from each other by a positive distance. It is proved that due to locality each singularity yields a separate contribution to the deficiency index of H. In the special case where the singularities are pointlike and the potential exhibits certain symmetries near these points we give an explicit construction of self-adjoint boundary conditions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526768
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    On the calculation of the Berry phase in a solvable model
    Amsterdam : Elsevier
    Physics Letters B 215 (1988), S. 359-363 
    Details
    ISSN: 0370-2693
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0370-2693(88)91448-7
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    On relativistic energy band corrections in the presence of periodic potentials (1988)
    Springer
    Letters in mathematical physics 15 (1988), S. 313-324 
    Details
    ISSN: 1573-0530
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract A previously developed formalism to compute relativistic corrections of bound state energies for spin-1/2 particles is applied to relativistic corrections of energy bands of one-dimensional, periodic Hamiltonians. We explicitly describe Floquet theory for periodic Dirac operators on the line. Extensions including impurity potentials and/or v≥2 dimensions are straightforward and sketched at the end.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00419589
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    Paper (German National Licenses)
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  • 5
    Electronic Resource
    Electronic Resource
    Existence of bound states in quantum waveguides under weak conditions (1995)
    Springer
    Letters in mathematical physics 35 (1995), S. 1-12 
    Details
    ISSN: 1573-0530
    Keywords: 81Q10 ; 35P15 ; 35J25
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract The existence of bound states in a plane quantum waveguide is proved under weak conditions: Within a bounded set a more general shape than a curved parallel strip is admitted and the curvature of the reference curve need not be differentiable. Furthermore, no upper bound for the width of the strip is required.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00739151
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    Paper (German National Licenses)
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  • 6
    Electronic Resource
    Electronic Resource
    Bestimmung der Kreisströme zweier Stromrichter in Kreuzschaltung mit Hilfe des Spannungsdiagramms (1939)
    Springer
    Electrical engineering 33 (1939), S. 402-410 
    Details
    ISSN: 1432-0487
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Zusammenfassung Aus dem Spannungsdiagramm des Stromrichters wird ein Verfahren zur Bestimmung des Kreisstroms entwickelt, das bei Vernachlässigung des Widerstands und der Brennspannung sowie unter Annahme gleicher Aussteuerung beider Gefäße einen verhältnismäßig einfachen, geschlossenen Ausdruck für den Kreisstrom liefert. Bei ungleicher Aussteuerung läßt sich der Kreisstrom durch ein graphisch-rechnerisches Verfahren finden, das auch die Brennspannung und die Überlappung zu berücksichtigen gestattet.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01656443
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  • 7
    Electronic Resource
    Electronic Resource
    Holomorphy of the scattering matrix with respect toc −2 for Dirac operators and an explicit treatment of relativistic corrections (1992)
    Springer
    Communications in mathematical physics 144 (1992), S. 391-416 
    Details
    ISSN: 1432-0916
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract We prove holomorphy of the scattering matrix at fixed energy with respect toc −2 for abstract Dirac operators. Relativistic corrections of orderc −2 to the nonrelativistic limit scattering matrix (associated with an abstract Pauli Hamiltonian) are explicitly determined. As applications of our abstract approach we discuss concrete realizations of the Dirac operator in one and three dimensions and explicitly compute relativistic corrections of orderc −2 of the reflection and transmission coefficients in one dimension and of the scattering matrix in three dimensions. Moreover, we give a comparison between our approach and the firstorder relativistic corrections according to Foldy-Wouthuysen scattering theory and show complete agreement of the two methods.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02101099
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    Paper (German National Licenses)
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