Some spectral properties of anti-self-adjoint operators on a quaternionic Hilbert space

DOI10.1063/1.530084zbMath0794.47041OpenAlexW2120288135MaRDI QIDQ3141344

Lawrence P. Horwitz

Publication date: 29 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530084

zbMATH Keywords

effective spectrumquaternionic quantum mechanicsexistence of Lyapunov functionintrinsic irreversibilityHamiltonian operators with positive quaternion defined spectrumspectra of anti-self-adjoint operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (4)

Some Peculiarities of Quaternionic Linear Spaces ⋮ Quaternionic electroweak theory and Cabibbo-Kobayashi-Maskawa matrix ⋮ A soluble model for scattering and decay in quaternionic quantum mechanics. I. Decay ⋮ A soluble model for scattering and decay in quaternionic quantum mechanics. II. Scattering

Cites Work

• Quaternion quantum mechanics: Second quantization and gauge fields
• The logic of quantum mechanics
• On a basic theorem of quaternion modules
• Principle of General Q Covariance

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