A closed formula for the barrier transmission coefficient in quaternionic quantum mechanics

DOI10.1063/1.3504165zbMath1314.81065arXiv1012.4613OpenAlexW1997290093MaRDI QIDQ5254861

Stefano De Leo, Vinicius Leonardi, Kenia Pereira, Gisele C. Ducati

Publication date: 10 June 2015

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

Full work available at URL: https://arxiv.org/abs/1012.4613

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (4)

New scattering features of quaternionic point interaction in non-Hermitian quantum mechanics ⋮ The Snell law for quaternionic potentials ⋮ Dirac solutions for quaternionic potentials ⋮ Delay time in quaternionic quantum mechanics

Cites Work

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• Real linear quaternionic differential operators
• Quaternionic differential operators
• Analytic plane wave solutions for the quaternionic potential step
• Quaternionic wave packets
• Quaternionic potentials in non-relativistic quantum mechanics
• Right eigenvalue equation in quaternionic quantum mechanics
• Quaternionic bound states
• Quaternionic eigenvalue problem
• Solving simple quaternionic differential equations

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