Remarks on Infinite-Dimensional Representations of the Heisenberg Algebra

DOI10.1007/978-3-319-62181-4_2zbMath1430.17070OpenAlexW2754312207MaRDI QIDQ4608810

Camillo Trapani

Publication date: 28 March 2018

Published in: Lie Groups, Differential Equations, and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-62181-4_2

zbMATH Keywords

Heisenberg Lie algebraunbounded operator algebrasinfinite-dimensional representations of Lie algebras

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (2)

Change of representation and the rigged Hilbert space formalism in quantum mechanics ⋮ Generalized Riesz systems and quasi bases in Hilbert space

Cites Work

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• Examples of pseudo-bosons in quantum mechanics
• Pseudo-bosons, so far
• On the Heisenberg commutation relation. II
• Analytic vectors
• Partial inner product spaces. Theory and applications
• Unbounded operator algebras and representation theory.
• On the Heisenberg commutation relation. I
• Weak commutation relations of unbounded operators and applications
• Weak commutation relations of unbounded operators: Nonlinear extensions
• Vecteurs analytiques dans les représentations des groupes de Lie
• Pseudobosons, Riesz bases, and coherent states
• On the Relation $PQ -QP = -iI$.
• Limitable Dynamical Groups in Quantum Mechanics. I. General Theory and a Spinless Model
• GENERALIZED WEAK WEYL RELATION AND DECAY OF QUANTUM DYNAMICS
• Note on Continuous Representations of Lie Groups

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