Quaternionic quantum theory admits universal dynamics only for two-level systems
نویسندگان
چکیده
منابع مشابه
Quantum Dynamics in Regions of Quaternionic Curvature
The complex unit appearing in the equations of quantum mechanics is generalised to a quaternionic structure on spacetime, leading to the consideration of complex quantum mechanical particles whose dynamical behaviour is governed by inhomogeneous Dirac and Schrödinger equations. Mixing of hyper-complex components of wavefunctions occurs through their interaction with potentials dissipative into ...
متن کاملGlobal effects in quaternionic quantum field theory
We present some striking global consequences of a model quaternionic quantum field theory which is locally complex. We show how making the quaternionic structure a dynamical quantity naturally leads to the prediction of cosmic strings and non-baryonic hot dark matter candidates. Report Number: UM–P–96/88; RCHEP 96/11. Typeset using REVTEX
متن کاملQuaternionic Quantum Mechanics and Noncommutative Dynamics
In this talk I shall first make some brief remarks on quaternionic quantum mechanics, and then describe recent work with A.C. Millard in which we show that standard complex quantum field theory can arise as the statistical mechanics of an underlying noncommutative dynamics. In quaternionic quantum mechanics, the Dirac transition amplitudes 〈ψ|φ〉 are quaternion valued, that is, they have the for...
متن کاملUniversal Interaction Systems with Only
In the framework of interaction nets 6], Yves Lafont has proved 8] that every interaction system can be simulated by a system composed of 3 symbols named , and. One may wonder if it is possible to nd a similar universal system with less symbols. In this paper, we show a way to simulate every interaction system with a speciic interaction system constituted of only 2 symbols. By transitivity, we ...
متن کاملMultiparticle correlations in quaternionic quantum systems.
We investigate the outcomes of measurements on correlated, few-body quantum systems described by a quaternionic quantum mechanics that allows for regions of quaternionic curvature. We find that a multi-particle interferometry experiment using a correlated system of four nonrelativistic, spin-half particles has the potential to detect the presence of quaternionic curvature. Two-body systems, how...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2020
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aba656