论文信息 - Rigged Hilbert space formalism as an extended mathematical formalism for quantum systems. II. Transformation theory in nonrelativistic quantum mechanics

Rigged Hilbert space formalism as an extended mathematical formalism for quantum systems. II. Transformation theory in nonrelativistic quantum mechanics

Results of a previous paper are used to obtain a rigorous mathematical formulation of the transformation theory of nonrelativistic quantum mechanics within the framework of rigged Hilbert spaces.

O. Melsheimer

[1] L. Gårding,et al. Note on Continuous Representations of Lie Groups. , 1947, Proceedings of the National Academy of Sciences of the United States of America.

[2] J. Roberts,et al. Rigged Hilbert spaces in quantum mechanics , 1966 .

[3] N. Bourbaki. Espaces vectoriels topologiques , 1955 .

[4] J. T. Marti. Introduction to the Theory of Bases , 1969 .

[5] Edward Nelson,et al. Representation of Elliptic Operators in an Enveloping Algebra , 1959 .

[6] O. Melsheimer,et al. Limitable Dynamical Groups in Quantum Mechanics. I. General Theory and a Spinless Model , 1968 .

[7] Olaf Melsheimer. Rigged Hilbert space formalism as an extended mathematical formalism for quantum systems. I. General theory , 1974 .

[8] Jean-Pierre Antoine,et al. Dirac Formalism and Symmetry Problems in Quantum Mechanics. I. General Dirac Formalism , 1969 .

[9] H. H. Schaefer,et al. Topological Vector Spaces , 1967 .