Non-linear coherent states associated with conditionally exactly solvable problems
نویسندگان
چکیده
Recently, based on a supersymmetric approach, new classes of conditionally exactly solvable problems have been found, which exhibit a symmetry structure characterized by non-linear algebras. In this paper the associated “nonlinear” coherent states are constructed and some of their properties are discussed in detail. PACS numbers: 03.65.Fd, 02.20.Qs, 42.50.-p
منابع مشابه
Vector Coherent States with Matrix Moment Problems
Canonical coherent states can be written as infinite series in powers of a single complex number z and a positive integer ρ(m). The requirement that these states realize a resolution of the identity typically results in a moment problem, where the moments form the positive sequence of real numbers {ρ(m)}∞ m=0 . In this paper we obtain new classes of vector coherent states by simultaneously repl...
متن کاملSupersymmetric Construction of Exactly Solvable Potentials and Non-linear Algebras
Using algebraic tools of supersymmetric quantum mechanics we construct classes of conditionally exactly solvable potentials being the supersymmetric partners of the linear or radial harmonic oscillator. With the help of the raising and lowering operators of these harmonic oscillators and the SUSY operators we construct ladder operators for these new conditionally solvable systems. It is found t...
متن کاملCoherent states for exactly solvable potentials
A general algebraic procedure for constructing coherent states of a wide class of exactly solvable potentials e.g., Morse and Pöschl-Teller, is given. The method, a priori, is potential independent and connects with earlier developed ones, including the oscillator based approaches for coherent states and their generalizations. This approach can be straightforwardly extended to construct more ge...
متن کاملJa n 20 04 Conditionally exactly solvable potential and dual transformation in quantum mechanics
We comment that the conditionally exactly solvable potential of Dutt et al (1995 J. Phys. A: Math. Gen. 28 L107) and the exactly solvable potential from which it is derived form a dual system.
متن کاملShape-invariance and Exactly Solvable Problems in Quantum Mechanics
Algebraic approach to the integrability condition called shape invariance is briefly reviewed. Various applications of shape-invariance available in the literature are listed. A class of shape-invariant bound-state problems which represent two-level systems are examined. These generalize the Jaynes-Cummings Hamiltonian. Coherent states associated with shape-invariant systems are discussed. For ...
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 1998