Quanhui Liu

Hunan University

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DETERMINISTIC PROPERTIES CONTAINED IN QUANTUM SYSTEMS WITH CONTINUOUS SPECTRUM

Acta Physica Sinica (1992)

Quanhui Liu

When a quantum system with continuous spectrum has a definite anergy, ordinary quantum mechanics uses a single continuous stationary state to describe its properties, the expectation values for arbitrary physical quantities are therefore either infinity or zero. In this paper we point out in the form of mathematical theorem that the system possesses new and deterministic results with evident physical meanings. Classical results for the system are the classical limit cases of these results, and the ordinarv expectation values are the statistical cases of our results.

Continuous spectrum

Stationary state

Physical system

Infinity

Statistical Mechanics

Quantum system

Classical limit

10.7498/aps.41.697

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Citations (1)

Porous ultrathin carbon nanobubbles formed carbon nanofiber webs for high-performance flexible supercapacitors

Journal of Materials Chemistry A (2017)

Lei Wang Guanhua Zhang Xiaojia Zhang Huimin Shi Wei Zeng

Porous ultrathin carbon nanobubbles formed carbon nanofiber webs exhibit 94.1% capacitance retention after 35 000 cycles at a current density of 10 A g⁻¹.

Carbon fibers

10.1039/c7ta03445h

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Citations (103)

Role of long-range interaction on the photon-excited η-pairing of electrons

Physica Scripta (2020)

Xing Yang Jie Chen Yabin Yu Quanhui Liu

Electron pair

10.1088/1402-4896/ab8e68

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Citations (1)

A Secondary Operator Ordering Problem for a Charged Rigid Planar Rotator in Uniform Magnetic Field

Communications in Theoretical Physics (2005)

Yanping Xiao Meimei Lai Ji-Xuan Hou X Chen Quanhui Liu

When the motion of a particle is constrained, an excess term exists using hermitian form of Cartesian momentum pi (i=1,2,3) in usual kinetic energy (1/2μ) ∑ pi2, and the correct kinetic energy turns out to be (1/2μ) ∑ (1/fi)pifipi, where the fi are dummy factors in classical mechanics and nontrivial in quantum mechanics. In this paper the explicit form of the dummy functions fi is given for a charged rigid planar rotator in the uniform magnetic field.

Operator (biology)

10.1088/6102/44/1/49

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Citations (8)

PERELOMOV AND BARUT–GIRARDELLO SU(1, 1) COHERENT STATES FOR HARMONIC OSCILLATOR IN ONE-DIMENSIONAL HALF SPACE

International Journal of Modern Physics A (2006)

Quanhui Liu Zhuo Hui

The Perelomov and the Barut–Girardello SU(1, 1) coherent states for harmonic oscillator in one-dimensional half space are constructed. Results show that the uncertainty products ΔxΔp for these two coherent states are bound from below [Formula: see text] that is the uncertainty for the ground state, and the mean values for position x and momentum p in classical limit go over to their classical quantities respectively. In classical limit, the uncertainty given by Perelomov coherent does not vanish, and the Barut–Girardello coherent state reveals a node structure when positioning closest to the boundary x = 0 which has not been observed in coherent states for other systems.

10.1142/s0217751x06030862

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Citations (1)

Controllable synthesis and optical characterizations of ZnO nanostructures by citric acid-assisted annealing process

Physica E Low-dimensional Systems and Nanostructures (2007)

Zao Yang Quanhui Liu

Nanorod

10.1016/j.physe.2007.07.027

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Citations (10)

Negative differential resistance induced by SiN_x co-dopant in armchair graphene nanoribbon

Modern Physics Letters B (2014)

Caiping Cheng Huifang Hu Zhao-jin Zhang Quanhui Liu Chen Ying

By adopting density functional theory in combination with nonequilibrium Green's functions, we investigated the electronic structure and transport properties of silicon/nitrogen ( Si / N ) co-doping armchair graphene nanoribbons (AGNRs) with SiN x co-dopant incorporated in neighboring carbon atoms. The results demonstrate that the electronic structure can be modulated by introducing SiN x co-dopants in AGNRs. The striking negative differential resistance behaviors in the range of low bias can be observed in Si / N co-doped AGNR devices. These remarkable properties suggest the potential application of Si / N co-doping AGNRs in molectronics.

10.1142/s0217984914502297

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Citations (3)

High-performance ethanol sensing based on an aligned assembly of ZnO nanorods

Sensors and Actuators B Chemical (2008)

Zao Yang Li-Miao Li Qing Wan Quanhui Liu Taihong Wang

Nanorod

10.1016/j.snb.2008.07.016

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Citations (84)

Oxygen-deficient anatase TiO₂@C nanospindles with pseudocapacitive contribution for enhancing lithium storage

Journal of Materials Chemistry A (2018)

Xiaolan Deng Zengxi Wei Chunyu Cui Quanhui Liu Caiyun Wang

Oxygen-deficient anatase TiO₂@C nanospindles are realisedviathe hydrogenation and carbon coating of TiO₂nanospindles. The produced electrodes exhibit an enhanced electrochemical performance for Li storage.

Oxygen storage

Carbon fibers

10.1039/c7ta11301c

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Citations (225)

Geometric momentum and angular momentum for charge-monopole system

Modern Physics Letters A (2018)

Shifang Xiao Quanhui Liu

For a charge-monopole pair, we have another definition of the orbital angular momentum, and the transverse part of the momentum including the vector potential turns out to be the so-called geometric momentum that is under intensive study recently. For the charge on the spherical surface with the monopole at the origin, the commutation relations between all components of both the geometric momentum and the orbital angular momentum satisfy the so(3,[Formula: see text]1) algebra. With construction of the geometrically infinitesimal displacement operator based on the geometric momentum, the so(3,[Formula: see text]1) algebra implies the Aharonov–Bohm phase shift. The related problems such as charge and flux quantization are also addressed.

Angular momentum operator

10.1142/s0217732318501250

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Citations (1)