Quaternionic Aharonov-Bohm effect

Abstract

A quaternionic analog of the Aharonov-Bohm effect is developed without the usual anti-hermitian operators in quaternionic quantum mechanics (QQM). A quaternionic phase links the solutions obtained to ordinary complex wave functions, and new theoretical studies and experimental tests are possible for them.

References in corpus (4)

• Quaternionic Wave Packets
• Quaternionic particle in a relativistic box
• Comment on Adler's "Does the Peres experiment using photons test for hyper-complex (quaternionic) quantum theories?"
• Does the Peres experiment using photons test for hyper-complex (quaternionic) quantum theories?

Cited by in corpus (20)

• Quaternionic quantum mechanics in real Hilbert space
• Non-anti-hermitian quaternionic quantum mechanics
• Virial theorem and generalized momentum in quaternic quantum mechanics
• Quaternionic Klein-Gordon equation
• Quaternionic quantum particles
• Quaternionic quantum harmonic oscillator
• Quaternionic elastic scattering
• Quaternionic electrodynamics
• Quaternionic scalar field in the real Hilbert space
• Quaternionic Dirac free particle
• Quaternionic fermionic field
• Expectation value dynamics within real Hilbert space quantum mechanics
• Self-interacting quantum particles
• Square-well potential in quaternic quantum mechanics
• Quaternionic quantum particles: new solutions
• Klein-Gordon equation within the real Hilbert space formalism
• Quantum self-interaction within an infinitely deep cavity
• The quantum harmonic oscillator and the real Hilbert space
• Deformed angular momentum algebra within the real Hilbert space
• Generalized imaginary units in quantum mechanics