Non-anti-hermitian quaternionic quantum mechanics
arXiv:1609.00433 · doi:10.1007/s00006-018-0819-1
Abstract
The breakdown of Ehrenfest's theorem imposes serious limitations on quaternionic quantum mechanics (QQM). In order to determine the conditions in which the theorem is valid, we examined the conservation of the probability density, the expectation value and the classical limit for a non-anti-hermitian formulation of QQM. The results also indicated that the non-anti-hermitian quaternionic theory is related to non-hermitian quantum mechanics, and thus the physical problems described with both of the theories should be related.
References in corpus (3)
Cited by in corpus (24)
- Quaternionic quantum mechanics in real Hilbert space
- Virial theorem and generalized momentum in quaternic quantum mechanics
- New scattering features of quaternionic point interaction in non-Hermitian 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
- Spin and angular momentum in quaternionic quantum mechanics
- Expectation value dynamics within real Hilbert space quantum mechanics
- Self-interacting quantum particles
- Square-well potential in quaternic quantum mechanics
- A possibility of Klein Paradox in quaternionic (3+1) frame
- Quaternionic quantum particles: new solutions
- Klein-Gordon equation within the real Hilbert space formalism
- Self-interacting quantum particles and the Dirac delta potential
- On complex representations of Clifford algebra
- Quantum self-interaction within an infinitely deep cavity
- Generalized imaginary units in quantum mechanics
- Deformed angular momentum algebra within the real Hilbert space
- The quantum harmonic oscillator and the real Hilbert space