Unitary Equivalence of Stark Hamiltonians.
Ira W. Herbst (1977)
Mathematische Zeitschrift
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Ira W. Herbst (1977)
Mathematische Zeitschrift
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Julio Becerra Guerrero, Simon Cowell, Ángel Rodríguez Palacios, Geoffrey V. Wood (2004)
Studia Mathematica
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In a Banach algebra an invertible element which has norm one and whose inverse has norm one is called unitary. The algebra is unitary if the closed convex hull of the unitary elements is the closed unit ball. The main examples are the C*-algebras and the ℓ₁ group algebra of a group. In this paper, different characterizations of unitary algebras are obtained in terms of numerical ranges, dentability and holomorphy. In the process some new characterizations of C*-algebras are given. ...
Konrad Schmüdgen (1991)
Mathematische Zeitschrift
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Anthony Joseph, Gail Letzter (1996)
Mathematische Zeitschrift
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Strasburger, Aleksander
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In the paper the origins of the intrinsic unitary symmetry encountered in the study of bosonic systems with finite degrees of freedom and its relations with the Weyl algebra (1979, Jacobson) generated by the quantum canonical commutation relations are presented. An analytical representation of the Weyl algebra formulated in terms of partial differential operators with polynomial coefficients is studied in detail. As a basic example, the symmetry properties of the -dimensional quantum...
Mokni, Kamel, Thomas, Erik G.F. (1998)
Journal of Lie Theory
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Robert Burkhard Braun (1984)
Mathematische Zeitschrift
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Marek Ptak (1989)
Annales Polonici Mathematici
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R. Schaflitzel (1996)
Mathematische Zeitschrift
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N. Ramabhadran (1966)
Mathematische Zeitschrift
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Yun Gao (1996)
Mathematische Zeitschrift
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