Unitary representation of the Poincaré group for classical relativistic dynamics
نویسندگان
چکیده
We give a unitary irreducible representation of the proper Poincar\'e group that leads to an operational version classical relativistic dynamics massive spinless particle. Unlike quantum mechanics, in this theory there is no uncertainty principle between position and momentum. It will be shown contains Koopman-von Neumann formalism as particular case, explicit connection with Hamiltonian mechanics given.
منابع مشابه
Poincaré covariance of relativistic quantum position
A great number of problems of relativistic position in quantum mechanics are due to the use of coordinates which are not inherent objects of spacetime, cause unnecessary complications and can lead to misconceptions. We apply a coordinate-free approach to rule out such problems. Thus it will be clear, for example, that the Lorentz covariance of position, required usually on the analogy of Lorent...
متن کاملClassical versus quantum dynamics for a driven relativistic oscillator
We compare the time evolution of the quantum-mechanical spatial probability density obtained by solving the time-dependent Dirac equation with its classical counterpart obtained from the relativistic Liouville equation for the phase-space density in a regime in which the dynamics is essentially relativistic. For a resonantly driven one-dimensional harmonic oscillator, the simplest nontrivial mo...
متن کاملSymmetries Shared by the Poincaré Group and the Poincaré Sphere
Henri Poincaré formulated the mathematics of Lorentz transformations, known as the Poincaré group. He also formulated the Poincaré sphere for polarization optics. It is shown that these two mathematical instruments can be derived from the two-by-two representations of the Lorentz group. Wigner’s little groups for internal space-time symmetries are studied in detail. While the particle mass is a...
متن کاملstudy of cohesive devices in the textbook of english for the students of apsychology by rastegarpour
this study investigates the cohesive devices used in the textbook of english for the students of psychology. the research questions and hypotheses in the present study are based on what frequency and distribution of grammatical and lexical cohesive devices are. then, to answer the questions all grammatical and lexical cohesive devices in reading comprehension passages from 6 units of 21units th...
heterogeneity within the orientalist discourse: representation of the orient in womens travelogues and mens paintings
from 1950s onward, new theories and critical approaches burgeoned across humanities. these theories were context-oriented; as a result, the analysis of discursive practices gained significance. thus, social, political, historical and cultural discourses that have been hitherto marginalized and considered inferior to literary texts, were introduced as important texts to be analyzed by critics. o...
ذخیره 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: Annals of Physics
سال: 2021
ISSN: ['1096-035X', '0003-4916']
DOI: https://doi.org/10.1016/j.aop.2021.168539