Kosmische Strahlung
Vorträge Gehalten im Max-Planck-Institut für Physik Göttingen
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Article
Duality rotations in nonlinear electrodynamics and in extended supergravity
We review the general theory of duality rotations which, in four dimensions, exchange electric with magnetic fields. Necessary and sufficient conditions in order for a theory to have duality symmetry are estab...
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Chapter and Conference Paper
Self-duality in nonlinear electromagnetism
We discuss duality invariant interactions between electromagnetic fields and matter. The case of scalar fields is treated in some detail.
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Article
q-Deformed Poincaré algebra
Theq-differential calculus for theq-Minkowski space is developed. The algebra of theq-derivatives with theq-Lorentz generators is found giving theq-deformation of the Poincaré algebra. The reality structure of th...
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Article
Reality in the differential calculus on q-Euclidean spaces
The nonlinear reality structure of the derivatives and the differentials for the Euclidean q-spaces are found. A real Laplacian is constructed and reality properties of the exterior derivative are given.
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Article
Six generatorq-deformed Lorentz algebra
The six generator deformation of the Lorentz algebra is presented. The Hopf algebra structure and the reality conditions are found. The chiral decomposition of SL(2, C) is generalized to theq-case. Casimir operat...
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Article
A q-deformed Lorentz algebra
We derive a q-deformed version of the Lorentz algebra by deforming the algebraSL(2,C). The method is based on linear representations of the algebra on the complex quantum spinor space. We find that the generators...
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Article
The two-parameter deformation ofGL(2), its differential calculus, and Lie algebra
The Yang-Baxter equation is solved in two dimensions giving rise to a two-parameter deformation ofGL(2). The transformation properties of quantum planes are briefly discussed. Non-central determinant and inverse ...
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Article
Differential geometry of the quantum supergroupGL q (1/1)
We construct a right-invariant differential calculus on the quantum supergroupGL q (1/1) and we show that the quantum Lie algebra generators satisfy the undeformed Lie superalge...
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Article
Analysis of the basic matrix representation ofGL q(2,C)
We investigate the quantum deformation of the group of 2×2 matrices. We show that then-th power of a quantum matrix corresponds to then-th power of the deformation parameter. We also prove that a quantum matrix c...
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Chapter
Kosmische Strahlung
In den zehn Jahren, die seit dem Erscheinen der 1. Auflage verstrichen sind, haben die Kenntnisse von der kosmischen Strahlung eine außerordentliche Erweiterung und Vertiefung erfahren. Nach dem Ende des Krieg...
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Chapter
Superspace
Superspace is an extension of ordinary space-time. Its points are labelled not only by commuting bosonic (vectorial) co-ordinates but also in addition by anticommuting fermionic (spinorial) coordinates. Supers...
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Article
Some recent developments in supergravity
Recent progress in the rigid simple supergravity and the extended supergravity is discussed.
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Chapter
Application of Gauge Theories to Weak and Electromagnetic Interactions
Quantum electrodynamics is the typical example of a successful theory. Its accuracy is quoted to be of a few parts in a million, from comparison with experimental data on the g−2 of the muon or on hyperfine st...
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Chapter
Electrodynamics of Superconductors
We shall begin with the three basic facts concerning the electrodynamics of superconductors: (A) Persistent currents—Flow of currents in certain metals in the superconducting phase seemed to indicate that these m...
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Article
Derivation of the Ginzburg-Landau Theory for a Local Superconductor
The microscopic equations for a superconductor developed in an earlier paper are expanded, in a gauge-invariant way, under the assumption that the magnetic vector potential is small and slowly varying and that...
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Article
The renormalization costants in quantum electrodynamics
The asymptotic behaviour at high energies of the vertex function in quantum electrodynamics is discussed with particular consideration of the gauge invariance of the theory.
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Article
Some properties of a functional occurring in the quantum theory of fields
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Book
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Chapter
Erratum
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Chapter
Theorie des μ-e-Zerfalls und des μ-Einfangs
Wie im vorangehenden Abschn. 3 ausgeführt wurde, zeigen μ-Mesonen, die zur Ruhe gekommen sind, je nach dem Ladungsvorzeichen ein verschiedenes Verhalten. Positive μ-Mesonen (μ+) zerfallen mit einer mittleren Lebe...
