Delay time in quaternionic quantum mechanics

DOI10.1063/1.3684747zbMath1274.81220arXiv1204.2414OpenAlexW3104930388MaRDI QIDQ2861693

Stefano De Leo, Gisele C. Ducati

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1204.2414

zbMATH Keywords

quaternionic potentialsquantum mechanics in one dimension

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Quaternion and other division algebras: arithmetic, zeta functions (11R52)

Related Items (16)

Solving quaternion ordinary differential equations with two-sided coefficients ⋮ Linear quaternion-valued difference equations: Representation of solutions, controllability, and observability ⋮ Investigation of controllability and observability for linear quaternion-valued systems from its complex-valued systems ⋮ Existence and global exponential stability of anti-periodic solutions for quaternion-valued cellular neural networks with time-varying delays ⋮ Representations of quaternion W-MPCEP, W-CEPMP and W-MPCEPMP inverses ⋮ A decomposition method for solving quaternion differential equations ⋮ Hyers-Ulam stability of linear quaternion-valued differential equations with constant coefficients via Fourier transform ⋮ Pseudo almost automorphic solutions of quaternion-valued neural networks with infinitely distributed delays via a non-decomposing method ⋮ Controllability and observability for linear quaternion-valued impulsive differential equations ⋮ W-MPCEP-N-CEPMP-solutions to quaternion matrix equations with constrains ⋮ Periodic solutions for quaternion-valued fuzzy cellular neural networks with time-varying delays ⋮ The Snell law for quaternionic potentials ⋮ Dirac solutions for quaternionic potentials ⋮ An algorithm for solving linear nonhomogeneous quaternion-valued differential equations and some open problems ⋮ Unnamed Item ⋮ MPCEP-\(*\)CEPMP-solutions of some restricted quaternion matrix equations

Cites Work

• Unnamed Item
• Real linear quaternionic differential operators
• Quaternionic differential operators
• Analytic plane wave solutions for the quaternionic potential step
• Quaternionic diffusion by a 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
• A closed formula for the barrier transmission coefficient in quaternionic quantum mechanics

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