Deformed classical-quantum mechanics transition
نویسندگان
چکیده
منابع مشابه
Introduction to Quantum Mechanics and the Quantum-classical Transition
In this paper we present a survey of the use of differential geometric formalisms to describe Quantum Mechanics. We analyze Schrödinger and Heisenberg frameworks from this perspective and discuss how the momentum map associated to the action of the unitary group on the Hilbert space allows to relate both approaches. We also study Weyl-Wigner approach to Quantum Mechanics and discuss the implica...
متن کاملA q-deformed Quantum Mechanics
With a q-deformed quantum mechanical framework, features of the uncertainty relation and a novel formulation of the Schrödinger equation are considered.
متن کاملq-Deformed Conformal Quantum Mechanics
We construct a q-deformed version of the conformal quantum mechanics model of de Alfaro, Fubini and Furlan for which the deformation parameter is complex and the unitary time evolution of the system is preserved. We also study differential calculus on the q-deformed quantum phase space associated with such system. CERN-TH/2000-210 July, 2000 E-mail: [email protected]
متن کاملDeformed Conformal and Supersymmetric Quantum Mechanics
Within the standard quantum mechanics a q-deformation of the simplest N = 2 supersymmetry algebra is suggested. Resulting physical systems do not have conserved charges and degeneracies in the spectra. Instead, superpartner Hamiltonians are q-isospectral, i.e. the spectrum of one can be obtained from another (with possible exception of the lowest level) by the q2-factor scaling. A special class...
متن کاملDynamical Symmetries in q-deformed Quantum Mechanics
The dynamical algebra of the q-deformed harmonic oscillator is constructed. As a result, we find the free deformed Hamiltonian as well as the Hamiltonian of the deformed oscillator as a complicated, momentum dependent interaction Hamiltonian in terms of the usual canonical variables. Furthermore we construct a well-defined algebra SUq(1,1) with consistent conjugation properties and comultiplica...
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: Physical Review D
سال: 2020
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.102.036015