A class of solvable Lie groups and their relation to the canonical formalism
Hans Tilgner (1970)
Annales de l'I.H.P. Physique théorique
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Displaying similar documents to “A spectrum generating nilpotent group for the relativistic free particle”
A class of solvable Lie groups and their relation to the canonical formalism
Weyl algebra and a realization of the unitary symmetry
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...
On unitary irreducible representations of semidirect products with nilpotent normal subgroup
E. Angelopoulos (1973)
Annales de l'I.H.P. Physique théorique
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Time operators, position operators, dilatation transformations and virtual particles in relativistic and nonrelativistic quantum mechanics
D. J. Almond (1973)
Annales de l'I.H.P. Physique théorique
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Heat kernels for class 2 nilpotent groups
Jacek Cygan (1979)
Studia Mathematica
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On basic and axiomatic ranks of nilpotent varieties of Lie algebras
Juri Bahturin (1982)
Banach Center Publications
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