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Massive particles' Hawking radiation via tunneling from the GH
Nov 4, 2006 ... 2Center for Astrophysics, Guangzhou University, Guangzhou 510006, China. In the past .... the sake of simplicity, we consider the outgoing massive particle as a massive shell (nonrelativistic de Broglie s-wave). According to the ..... Chinese). [ 16] Schiff, L. , Quantum Mechanics, 3rd edition, McGrawHill, 1967.
The Yukawa potential: ground state energy and critical screening
Jun 29, 2017 ... 1 Introduction. The Yukawa potential was proposed by Yukawa in 1935  as an effective non-relativistic ... and thus can be seen as a screened version of the Coulomb potential, with α describing the strength of ... the Yukawa potential a natural test case for approximation methods in quantum mechanics.
How to obtain the accurate solution of Klein-Gordon equation in
difficulties on mathematics, in relativistic quantum mechanics only a few bound state ... not relative invariant. 2. Basic equation. With the minimal coupling, the free Klein-Gordon equation was transformed into the free Klein-Gordon equation with electromagnetic .... Equations, Third edition, Springer-Verlag, 2003.12. : P.5- 41.
It is well known that when a particle moves in a strong potential field the relativistic quantum me- chanics can give more precise result than the non- relativistic quantum mechanics. Perhaps owing to the diЖculties in mathematics, except for a few ex- amples, such as the hydrogen atom and electrons in a uniform magnetic ...
Localization of Photons inside a Waveguide
1Institute of Physical Electronics, UESTC, Chengdu, Sichuan 610054, P.R. China . 2Institute of Physics ... to relativistic quantum mechanics implies that the concepts of the nonrelativistic position operator have to be ......  W. Greiner, Relativistic Quantum Mechanics (Third Edition), Springer-Verlag. Berlin Heidelberg New ...
Gluon Spin, Canonical Momentum, and Gauge Symmetry
Aug 6, 2012 ... 2Center for High-Energy Physics, Peking University, Beijing, 100080, P. R. China . 3Maryland .... that wave functions in non-relativistic quantum mechanics are gauge dependent, and the me- chanical ......  J. D. Jackson, “Classical Electrodynamics,” Third Edition, John Wiley & Sons, Inc (1999).  R. L. ...
Massive particles' Hawking radiation via tunneling from the GH
Nov 4, 2006 ... 1Department of Physics, Beijing Normal University, Beijing 100875, China. 2Center for Astrophysics .... Using the non-relativistic quantum mechanics, and if we let. ∫ r ri−ε prdr − ωt = φ0,. (9) then, we have .... 37 (2001) 471 (in Chinese). [ 16] Schiff, L. , Quantum Mechanics, 3rd edition, McGrawHill, 1967.
Separability and Dynamical Symmetry of Quantum Dots
Dec 9, 2013 ... P.-M. Zhang1∗, L.-P. Zou1†, P. A. Horvathy1,2‡, G. W.Gibbons3§,. 1Institute of Modern Physics,. Chinese Academy of Sciences. Lanzhou (China). 2Laboratoire de ... KEY WORDS: Quantum Dots, Separability, Dynamical Symmetry, Perturbed Kepler problem, ...... 3rd Edition: Pergamon Press (1977). & 97 ...
Mirror Nuclei of 17O and 17F in Relativistic and Nonrelativistic Shell
Dec 13, 2016 ... F in Relativistic and Nonrelativistic Shell Model. M. Mousavi and M. R. Shojaei. Physics Department, Shahrood University of Technology, P.O. Box 3619995161- 316, Shahrood, Iran. Correspondence .... angular momentum and spin-orbit quantum number as follows: ..... Germany, 3rd edition, 2000.
The relativistic bound and scattering states of the Manning-Rosen
solutions within the framework of non-relativistic quan- tum mechanics and ... The relativistic bound and scattering states of the Manning-Rosen potential with an improved new approximate scheme to the centrifugal term tentials, these potentials ......  L. I. Schiff, Quantum Mechanics, 3rd ed. (McGraw-. Hill, New York, 1995).
Solutions for Time-Dependent Schrödinger Equations with
Feb 24, 2012 ... Core Collection (BKCI). Chapter from the book Theoretical Concepts of Quantum Mechanics .....  C. D. Aliprantis and O. Burkinshaw, Principles of Real Analysis, third edition, Academic. Press, San Diego ...  L. A. Beauregard, Propagators in nonrelativistic quantum mechanics, Am. J. Phys. 34 (1966),.
NPRE-446: Radiation Interaction with Matter I
Aug 30, 2017 ... covers classical mechanics, classical electrodynamics, and quantum mechanics. Part 2. (Undergraduate ... Non-relativistic Quantum Mechanics and Atomic Structure. Limitations of classical ... H. Goldstein, C. Poole and J. Safko, Classical Mechanics, 3rd edition, Addison-Wesley (2001). 5. J. D. Jackson ...
Computational power needed to propagate a non-relativistic n
Making quantum mechanics finite dimensional by defining wave functions on a finite lattice of points is a self-suggesting trick for ... cal overflow. Such an algorithm for non-relativistic quantum mechanics of n-particle systems may ....  Leonard I. Schiff : quantum mechanics, third edition, McGRAW Hill 1968.  Ulrich Mutze ...
Landau L.D. & Lifschitz E.M.- Vol. 6 - Fluid Mechanics
Translated from Gidrodinamika, 3rd edition, “Nauka”, Moscow, 1986. Library of Congress Cataloging in Publicatioa Data. Landau, L. D. (Lev Davidovieh), l908— l968. Fluid mechanics. (Volume 6 of Course of theoretical physics). Includes index. Translation of: Mekhanika sploshnykh sred. l. Fluid mechanics. 1. Lirsiiii's, E. M..
Modern Quantum Field Theory: A Concise Introduction
for external or third-party internet websites referred to in this publication, and does not guarantee that any content on .... thorough grounding in non- relativistic quantum mechanics, which of course includes expert-level linear algebra. .... Lorentz scalar product. So everything is determined by quantum mechanics, translation.
Lecture Notes on Quantum Field Theory
Jul 4, 2015 ... The third version of these notes are typeset by a team including: Kun Zhang2, Graduate student (Id: ... Quantum Field Theory (in Chinese), 2007 Higher Education Press;. Main References to Homeworks ... 2.2.4 Non-relativistic quantum many-body mechanics . . . . . . . . . . . . 33. 2.2.5 Compatible observable .
Relativistic Scattering State Solutions of the Klein-Gordon Equation
Apr 26, 2013 ... Introduction. In the relativistic quantum mechanics, the scatter- ing state solution of the relativistic wave equation plays an important role for some physical poten- tials. Recently, there has been an increased in- terest in finding the scattering state solutions for non-relativistic and relativistic quantum mechan-.
Notes on Quantum Mechanics for Modern Physics (PDF)
outlines of the subject's historical development, lest anyone get the misimpression that quantum mechanics arose fully ..... qualify: wavefunction evolves this way in many situations: non-relativistic, no magnetic field, no friction or any other ...... Like Waves (third edition, 2017) section Q12.6, “Sketching Energy Eigenfunctions”.
Agglomerative clustering and collectiveness measure via exponent
do not well capture the global structures of data,  propose a graph-structural agglomerative clustering, which utilized the path ... introduced in statistical mechanics and quantum mechanics , where it summed up the ......  D.E. Knuth, The Art of Computer Programming, Volume 1 Fundamental Algorithms, third ed.
Gluon Spin, Canonical Momentum, and Gauge Symmetry Abstract
Apr 30, 2012 ... particles is not gauge-invariant, although the helicity is; neither are the canonical momentum and .... emphasize that wave functions in non-relativistic quantum mechanics are gauge dependent, and the ......  J. D. Jackson, “Classical Electrodynamics,” Third Edition, John Wiley & Sons, Inc (1999).