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Search Results: 1 - 10 of 210611 matches for " De-Hone Lin "
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Path Integral for Relativistic Dionium System
De-Hone Lin
Physics , 1997,
Abstract: The path integral for relativistic spinless dionium atom is solved, and the energy spectra are extracted from the resulting amplitude.
Quantization via Classical Orbits
De-Hone Lin
Physics , 1999,
Abstract: A systematic method for calculating higher-order corrections of the relativistic semiclassical fixed-energy amplitude is given. The central scheme in computing corrections of all orders is related to a time ordering operation of an operator involving the Van Vleck determinant. This study provides us a new viewpoint for quantization.
Green's Function of the Relativistic Coulomb System via Duru-Kleinert Method
De-Hone Lin
Physics , 1999,
Abstract: In this paper the fixed-energy amplitude (Green's function) of the relativistic Coulomb system is solved by Duru-Kleinert (DK) method. In the course of the calculations we observe an equivalence between the relativistic Coulomb system and a radial oscillator.
Green's function for the Relativistic Coulomb System via Sum Over Perturbation Series
De-Hone Lin
Physics , 1999, DOI: 10.1088/0305-4470/31/37/015
Abstract: We evaluate the Green's function of the D-dimensional relativistic Coulomb system via sum over perturbation series which is obtained by expanding the exponential containing the potential term $V({\bf x)}$ in the path integral into a power series. The energy spectra and wave functions are extracted from the resulting amplitude.
Quantum Conditions of the Relativistic Potential Problems
De-Hone Lin
Physics , 1999,
Abstract: The quantum conditions of the relativistic integrable systems whose classical motion is multiply periodic are given by considering the single-valuedness of the linear superposition of the approximate solutions $R_{i}\exp {\{iS_{i}/\hbar \}}$ with $R_{i}$ and $S_{i}$ being the solutions of the different branches of the current conservation equation and the relativistic Hamilton-Jacobian equation, respectively.
Path Integral on Relativistic Spinless Potential Problems
De-Hone Lin
Physics , 1999,
Abstract: The formulation of the relativistic spinless path integral on the general affine space is presented. For the one dimensional space, the Duru-Kleinert (DK) method and the $\delta $-function perturbation technique are applied to solve the relativistic path integrals of the smooth potential and the Dirichlet boundary condition problems, respectively.
Partial Wave Analysis of Scattering with Nonlocal Aharonov-Bohm Effect
de-Hone Lin
Physics , 2003, DOI: 10.1016/j.physleta.2003.11.006
Abstract: Partial wave theory of a two dimensional scattering problem for an arbitray short range potential and a nonlocal Aharonov-Bohm magnetic flux is established. The scattering process of a ``hard disk'' like potential and the magnetic flux is examined. Since the nonlocal influence of magnetic flux on the charged particles is universal, the nonlocal effect in hard disk case is expected to appear in quite general potential system and will be useful in understanding some phenomena in mesoscopic phyiscs.
Magnetic Flux Effects in Statistical Magnetism of Electron Gas
De-Hone Lin
Physics , 2007,
Abstract: The effects of magnetic flux in statistical magnetisms, including Pauli paramagnetism, Landau diamagnetism, and De Hass-van Alphen oscillation, are discussed. It is shown that the diamagnetism could be much increased by the fractional magnetic flux, and the amplitude of the magnetic oscillation of De Hass-van Alphen can be amplified by the quantum effect of the flux.
Path Integral for Relativistic Three-Dimensional Spinless Aharonov-Bohm-Coulomb System
De-Hone Lin
Physics , 1997,
Abstract: The path integral for relativistic three-dimensional spinless Aharonov-Bohm-Coulomb system is solved, and the energy spectra are extracted from the resulting amplitude.
Path integral for a relativistic Aharonov-Bohm-Coulomb system
De-Hone Lin
Physics , 1997, DOI: 10.1088/0305-4470/31/20/015
Abstract: The path integral for the relativistic spinless Aharonov-Bohm-Coulomb system is solved, and the energy spectra are extracted from the resulting amplitude.
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