Quaternionic elastic scattering
Sergio Giardino
Abstract
Abstract We study the elastic scattering of quantum particles based on a real Hilbert space approach to quaternionic quantum mechanics ( QM) and derive expression for the wave function, the phase shifts, as well as the optical theorem for the case of a hard sphere scattering potential. The strong agreement between these new quaternionic results and the corresponding results in complex quantum mechanics reinforce the validity of the QM generalization of ordinary complex quantum mechanics ( QM).
Topics & Concepts
ScatteringPhysicsQuantum mechanicsPhase spaceGeneralizationHilbert spaceScattering theoryQuantumClassical mechanicsQuantum dissipationSpace (punctuation)Mathematical formulation of quantum mechanicsQuantum statistical mechanicsOptical theoremMathematicsPhase (matter)Elastic scatteringOpen quantum systemQuantum processMathematical physicsExpression (computer science)Coherent statesQuantum systemMethod of quantum characteristicsQuantum opticsQuantum Mechanics and Non-Hermitian PhysicsAlgebraic and Geometric AnalysisNonlinear Waves and Solitons