Classical optics representation of the quantum mechanical translation operator via ABCD matrices
نویسندگان
چکیده
منابع مشابه
ABCD matrices as similarity transformations of Wigner matrices and periodic systems in optics.
It is shown that every ray transfer matrix, often called the ABCD matrix, can be written as a similarity transformation of one of the Wigner matrices that dictate the internal space-time symmetries of relativistic particles, while the transformation matrix is a rotation preceded by a squeeze. The implementation of this mathematical procedure is described, and how it facilitates the calculations...
متن کاملQuantum-classical correspondence via a deformed kinetic operator
We propose an approach to the quantum-classical correspondence based on a deformation of the momentum and kinetic operators of quantum mechanics. Making use of the factorization method, we construct classical versions of the momentum and kinetic operators which, in addition to the standard quantum expressions, contain terms that are functionals of the N-particle density. We show that this imple...
متن کاملq-Differential Operator Representation of the Quantum
A representation of the quantum superalgebra Uq(sl(M + 1|N + 1)) is constructed based on the q-differential operators acting on the coherent states parameterized by coordinates. These coordinates correspond to the local ones of the flag manifold. This realization provides us with a guide to construct the free field realization for the quantum affine superalgebra Uq(ŝl(M + 1|N + 1)) at arbitrary...
متن کاملFrom Classical to Quantum Mechanics through Optics
According to Arnold Sommerfeld mechanics is “the backbone of mathematical physics”; it is a highly elaborated theory emerging from Newton’s laws which, in turn, summarize in precise form the whole body of experience. Classical mechanics describes with great precision the motion of macroscopic bodies, including astronomical bodies, except when velocities and masses involved are excessively large...
متن کاملQuantum and classical optics–emerging links
Quantum optics and classical optics are linked in ways that are becoming apparent as a result of numerous recent detailed examinations of the relationships that elementary notions of optics have with each other. These elementary notions include interference, polarization, coherence, complementarity and entanglement. All of them are present in both quantum and classical optics. They have histori...
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 Optics
سال: 2013
ISSN: 2040-8978,2040-8986
DOI: 10.1088/2040-8978/15/7/075715