Finite-dimensional bicomplex Hilbert spaces

DOI10.1007/s00006-010-0274-0zbMath1237.46009arXiv1003.1122OpenAlexW3105009759MaRDI QIDQ640380

Raphaël Gervais Lavoie, Dominic Rochon, Louis Marchildon

Publication date: 18 October 2011

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

Full work available at URL: https://arxiv.org/abs/1003.1122

zbMATH Keywords

Hilbert spacesbicomplex numbersbicomplex linear algebrabicomplex quantum mechanicsbicomplex matrixgeneralized linear algebrageneralized quantum mechanics

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Functions of hypercomplex variables and generalized variables (30G35) Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) General module theory in associative algebras (16D10)

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Cites Work

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• Finite-dimensional bicomplex Hilbert spaces
• Bicomplex quantum mechanics. II: The Hilbert space
• Bicomplex quantum mechanics. I: The generalized Schrödinger equation

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