A soluble model for scattering and decay in quaternionic quantum mechanics. I. Decay

DOI10.1063/1.530483zbMath0806.47006arXivhep-th/9312028OpenAlexW3104836749MaRDI QIDQ4314250

Lawrence P. Horwitz

Publication date: 20 November 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9312028

zbMATH Keywords

Laplace transformquaternionic quantum mechanicsLee-Friedrichs modeldecay of an unstable systemdecay-scattering systemsquaternion- valued analytic functions of a variable with values in a complex subalgebra of the quaternion algebra

Mathematics Subject Classification ID

(n)-body potential quantum scattering theory (81U10) Laplace transform (44A10) Scattering theory of linear operators (47A40)

Related Items (1)

A soluble model for scattering and decay in quaternionic quantum mechanics. II. Scattering

Cites Work

• Quaternion quantum mechanics: Second quantization and gauge fields
• The decay-scattering system
• Some spectral properties of anti-self-adjoint operators on a quaternionic Hilbert space
• On a perturbation through which a discrete spectrum becomes continuous
• Resonances of Perturbed Selfadjoint Operators and their Eigenfunctionals
• Quaternionic analysis
• Principle of General Q Covariance
• Some Special Examples in Renormalizable Field Theory

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