Generalized Gelfand-Naimark-Segal construction for supersymmetric quantum mechanics

DOI10.1007/BF00402016zbMath0654.46067OpenAlexW1981006222MaRDI QIDQ1108558

Lech Jakóbczyk, Andrzej M. Frydryszak

Publication date: 1988

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402016

zbMATH Keywords

anticommuting parameters in quantum theoriesextended GNS construction for representations of Q algebras on such Q modulesGrassman-Banach algebraHilbert Q moduleQ-scalar product

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Miscellaneous applications of functional analysis (46N99)

Related Items (4)

Generalized Gelfand-Naimark-Segal construction for supersymmetric quantum mechanics ⋮ New supersymmetry transformations for a graded superfield oscillator ⋮ The fermionic Heisenberg group and its \(Q\)-representations ⋮ The algebra of Grassmann canonical anticommutation relations and its applications to fermionic systems

Cites Work

• Dynamical breaking of supersymmetry
• Canonical quantization with indefinite inner product
• Generalized Gelfand-Naimark-Segal construction for supersymmetric quantum mechanics
• Superspaces and supersymmetries
• Superspace Lagrangian Model of Supersymmetric Quantum Mechanics in Three-Dimensional Space
• Supersymmetric quantum mechanics defined as sesquilinear forms
• A global theory of supermanifolds

This page was built for publication: Generalized Gelfand-Naimark-Segal construction for supersymmetric quantum mechanics