ua nt - p h / 99 11 11 4 v 1 2 9 N ov 1 99 9 Ladder operator formalisms and generally deformed oscillator algebraic structures of quantum states in Fock space
نویسنده
چکیده
We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalism and bear generally deformed oscillator algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states also bear generally deformed oscillator algebraic structure. Some interesting examples of one-photon and two-photon quantum states are given. Typeset using REVTEX email:[email protected] 1
منابع مشابه
oscillator algebraic structures of quantum states in Fock space
We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalisms and have the generally deformed oscillator algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states may also have a generally deformed oscillato...
متن کاملLadder operator formalisms and generally deformed oscillator algebraic structures of quantum states in Fock space
We show that various kinds of one-photon quantum states studied in the field of quantum optics admit ladder operator formalisms and have the generally deformed oscillator (GDO) algebraic structure. The two-photon case is also considered. We obtain the ladder operator formalisms of two general states defined in the even/odd Fock space. The two-photon states may also have a GDO algebraic structur...
متن کاملua nt - p h / 99 10 03 8 v 1 8 O ct 1 99 9 Refined Factorizations of Solvable Potentials
A generalization of the factorization technique is shown to be a powerful algebraic tool to discover further properties of a class of integrable systems in Quantum Mechanics. The method is applied in the study of radial oscillator, Morse and Coulomb potentials to obtain a wide set of raising and lowering operators, and to show clearly the connection that link these systems.
متن کاملnt - p h / 99 05 10 0 v 1 3 1 M ay 1 99 9 Ladder operators for isospectral oscillators
We present, for the isospectral family of oscillator Hamiltonians, a systematic procedure for constructing raising and lowering operators satisfying any prescribed 'distorted' Heisenberg algebra (including the q-generalization). This is done by means of an operator transformation implemented by a shift operator. The latter is obtained by solving an appropriate partial isometry condition in the ...
متن کاملua nt - p h / 99 12 11 5 v 1 2 8 D ec 1 99 9 The δ - deformation of the Fock space
A deformation of the Fock space based on the finite difference replacement for the derivative is introduced. The deformation parameter is related to the dimension of the finite analogue of the Fock space.
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 1999