Coherent states for a quantum particle on a circle
نویسنده
چکیده
The coherent states for the quantum particle on the circle are introduced. The Bargmann representation within the actual treatment provides the representation of the algebra [Ĵ , U ] = U , where U is unitary, which is a direct consequence of the Heisenberg algebra [φ̂, Ĵ ] = i, but it is more adequate for the study of the circlular motion.
منابع مشابه
Coherent states for the q-deformed quantum mechanics on a circle
The q-deformed coherent states for a quantum particle on a circle are introduced and their properties investigated. PACS numbers: 02.20.Sv, 02.30.Gp, 02.40.-k, 03.65.-w, 03.65.Sq
متن کاملua nt - p h / 99 12 09 4 v 1 2 1 D ec 1 99 9 Coherent states for a particle on a sphere
The coherent states for a particle on a sphere are introduced. These states are labelled by points of the classical phase space, that is the position on the sphere and the angular momentum of a particle. As with the coherent states for a particle on a circle discussed in Kowalski K et al 1996 J. Phys. A 29 4149, we deal with a deformation of the classical phase space related with quantum fluctu...
متن کاملOn the uncertainty relations and squeezed states for the quantum mechanics on a circle
The uncertainty relations for the position and momentum of a quantum particle on a circle are identified minimized by the corresponding coherent states. The sqeezed states in the case of the circular motion are introduced and discussed in the context of the uncertainty relations. PACS numbers: 02.30.Gp, 03.65.-w, 03.65.Sq
متن کاملبررسی خواص کوانتومی حالتهای همدوس دومدی درهمتنیده
Coherent states are the quantum states, which give the closest description to classical states. Since their superpositions show quantum properties, research on these states has been of great interest. In addition, having nonclassical properties is necessary for quantum correlations. In this paper, we focus on two-mode entangled coherent states which are out of phase, and study the nonclassical...
متن کاملدینامیک کوانتومی ذره جرمدار روی دوسیتر 3+1
The phase space which is related to the motion of massive particle on 1+3- De sitter space is a 3-dimensional complex sphere. Our main aim in this study is discribing this movement in the frame quantum mechanics. Transfering from classical mechanic to quantum mechanics is possible by means of coherent states. Thus, after determination of this state, we quantize some of the classical observables.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1996