Hyperbolic Hilbert space

DOI10.1007/BF03042009zbMath0988.46016MaRDI QIDQ1841071

Xuegang Yu

Publication date: 27 June 2002

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

zbMATH Keywords

hyperbolic Cauchy point rangehyperbolic functional analysishyperbolic semi-linear spaceunification of relativity theory and quantum mechanics

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Applications of functional analysis in quantum physics (46N50)

Related Items (5)

\(f\)-algebra structure on hyperbolic numbers ⋮ Von Neumann uniqueness theorem doesn't hold in hyperbolic quantum mechanics ⋮ The Poincaré mass operator in terms of a hyperbolic algebra ⋮ Relativistic quantum physics with hyperbolic numbers ⋮ Multicomplex solitons

Cites Work

• Unnamed Item
• Hyperbolic Lagrangian functions
• Hyperbolic multi-topology and the basic principle in quantum mechanics
• The geometrical interpretation of uncertainty relation in Minkowski space

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