Generalized Squeezed States for the Jacobi Group
نویسنده
چکیده
We analyze the relationship between the covering of the Jacobi group and the squeezed states. We attach some nonclassical states to the Jacobi group. The matrix elements of the Jacobi group are presented.
منابع مشابه
Applications of the Jacobi Group to Quantum Mechanics
Infinitesimal holomorphic realizations for the Schrödinger-Weil representation and the discrete series representations of the Jacobi group are constructed. Explicit expressions of the basic differential operators are obtained. The squeezed states for the unitary irreducible representation of the Jacobi group are introduced. Matrix elements of the squeezed operators, expectation values of polyno...
متن کاملA Note on κ-diagonal Surface States
We classify all twist-even squeezed states in string field theory which are diagonal in the κ-basis and simultaneously surface states. For this purpose, we derive a consistency condition for the maps defining κ-diagonal surface states. It restricts these maps to a two-parameter family of Jacobi sine functions. Not all of them are admissible maps for surface states; standard requirements single ...
متن کاملSome Results for the Jacobi-Dunkl Transform in the Space $L^{p}(mathbb{R},A_{alpha,beta}(x)dx)$
In this paper, using a generalized Jacobi-Dunkl translation operator, we obtain a generalization of Titchmarsh's theorem for the Dunkl transform for functions satisfying the Lipschitz Jacobi-Dunkl condition in the space Lp.
متن کاملA direct proof of completeness of squeezed odd-number states
A direct proof of the resolution of the identity in the odd sector of the Fock space in terms of squeezed number states D(ξ)|2m + 1 >; D(ξ) = exp((ξa †2 − ξ * a 2)/2) is given. The proof entails evaluation of an integral involving Jacobi polynomials. This is achieved by the use of Racah identities.
متن کاملGeneralized Squeezed States from Generalized Coherent States
Both the coherent states and also the squeezed states of the harmonic oscillator have long been understood from the three classical points of view: the 1) displacement operator, 2) annihilation(or ladder-) operator, and minimum-uncertainty methods. For general systems, there is the same understanding except for ladder-operator and displacement-operator squeezed states. After reviewing the known...
متن کامل