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“Eigen-Operator” Method of the Square of Schroedinger Operator in Interaction Picture and Its Application in Describing Parametric Amplifiers

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Communications in Theoretical Physics 2005年第2X期44卷 252-254页

We extend the method of searching “eigen-operator” of the square of the Schroedinger operator to the interaction picture, which not only helps to construct Hamiltonians of two kinds of parametric amplifiers but also... 详细信息

关键词： eigen-operator Schroedinger operator interaction picture parametric amplifier

New Bosonic Operator Ordering Identities Gained by the Entangled State Representation and Two-Variable Hermite Polynomials

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Communications in Theoretical Physics 2002年第3期38卷 297-300页

作者： fan hong-yi fan Yue Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

Based on the technique of integration within an ordered product of operators, we derive new bosonicoperators' ordering identities by using entangled state representation and the properties of two-variable Hermite poly-nomials H and vice versa. In doing so, some concise normally (antinormally) ordering operator identities, such asa+man =:Hm,n(a+,a):, ana+m = (-i)m+n:Hm,n(ia+,ia): are obtained.

关键词： operator ordering, entangled state, two-variable Hermite polynomials

New Bose Operator Realization of SU(2) Algebra and Its Application in Optical Propagation

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Communications in Theoretical Physics 2002年第10期38卷 403-406页

作者： fan hong-yi fan Yue Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

We introduce a new Bose operator realization of SU(2) Lie algebra and applied it to optical propagationin GRIN media or some lens-setup.

关键词： Bose operator realization, entangled states, optical propagation

Angular Momentum-Phase Coherent State for an Electron in Uniform Magnetic Field

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Chinese Physics Letters 2001年第3期18卷 319-321页

作者： fan hong-yi fan Yue Department of Material Science and Engineering University of Science and Technology of ChinaHefei 230026

Based on the newly constructed state|l,r>>[fan et al.,***.16(1999)706],where l is the angular mometum quantum number and r denotes the electron's orbit radius in a uniform magnetic field,we propose a new angular momentum-phase coherent state by introducing a new operator A.A and A^(†)are annihilation and creation operator in the|l,r>>space,*** coherent state is A's eigenket and possesses non-orthonormal and overcomplete properties,it is constructed on the certain superposition of zero-angular momentum states along the radius direction.

关键词： radius angular momentum

Study Hankel Transforms and Properties of Bessel Function via Entangled State Representation Transformation in Quantum Mechanics

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Communications in Theoretical Physics 2006年第5期45卷 819-824页

作者： fan hong-yi WANG Yong Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Special Class for Gifted Young University of Science and Technology of China Hefei 230026 China

In Phys. Lett. A 313 （2003） 343 we have found that the self-recipràcal Hankel transformation （HT） is embodied in quantum mechanics by a transform between two entangled state representations of continuum variables. In this work we study Hankel transforms and properties of Bessel function via entangled state representations＇ transformation in quantum mechanics.

关键词： entangled state representation Hankel transform Bessel function

Pseudo-invariant Eigen-operator for Deriving Energy-Level Gap for Jaynes-Cummings Model

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Communications in Theoretical Physics 2006年第2期45卷 255-258页

作者： fan hong-yi DA Cheng Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Depaxtment of Computer Science and Technology University of Science and Technology of China Hefei 230027 China

We extend the concept of invariant eigen-operator to pseudo-invariant eigen-operator case through analyzing the standard Jaynes-Cummings model. We find the pseudo-invariant eigen-operator in terms of supersymmetric ge... 详细信息

关键词： pseudo-invariant eigen-operator method Jaynes-Cummings model energy gap

Time Evolution Caused by Hamiltonian Composed of Quadratic Combination of Canonical Operators and Time-Dependent Two-Mode Fresnel Operator

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Communications in Theoretical Physics 2006年第4X期46卷 599-602页

作者： fan hong-yi Hai-Liang Department of Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China

We show that the time-dependent two-mode Fresnel operator is just the time-evolutional unitary operator governed by the Hamiltonian composed of quadratic combination of canonical operators in the way of exhibiting SU（1,1） algebra. This is an approach for obtaining the time-dependent Hamiltonian from the preassigned time evolution in classical phase space, an approach which is in contrast to Lewis-Riesenfeld＇s invariant operator theory of treating timedependent harmonic oscillators.

关键词： time-dependent two-mode Fresnel operator quadratic combination of canonical operators Lewis-Riesenfeld's invariant operator theory

Solving Energy Levels for SSH Hamiltonian Describing Peierls Phase Transition by Virtue of Invariant Eigen-operator Method

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Communications in Theoretical Physics 2008年第3期49卷 759-762页

作者： fan hong-yi WU Hao Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Physics Shanghai Jiao Tong University Shanghai 200030 China

We show that the recently proposed invariant eigen-operator （IEO） method can be successfully applied to solving energy levels for SSH Hamiltonian describing Peierls phase transition. The electronic energy band of co... 详细信息

关键词： energy level Feierls model invariant eigen-operator method

Entanglement Swapping for Displaced Two-Mode Squeezed States

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Communications in Theoretical Physics 2001年第10期36卷 455-458页

作者： fan hong-yi WANG Hui Department of Applied Physics Shanghai Jiao Tong University Shanghai 200030 China Department of Material Science and Engineering University of Science and Technology of China Hefei 230026 China Department of Applied Physics Shanghai Jiao Tong University Shanghai 200030 China

We discuss the entanglement swapping of two pairs of displaced two-mode squeezed states and find that the squeezing parameter of the outcoming squeezed state is less than that of the originM squeezed states. The calculation is greatly simplified by virtue of the natural expression of the two-mode squeezing operator in EPR eigenstate representation. A protocol for such entanglement swapping is proposed.

关键词： entanglement swapping, squeezed state, EPR eigenstate