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Derivation of the Schrodinger equation from the Hamilton-Jacobi equation in Feynman's path integral formulation of quantum mechanics
Derivation of the Schrodinger equation Hamilton-Jacobi equation Feynman's path integral formulation of quantum mechanics
2012/4/19
It is shown how the time-dependent Schr\"{o}dinger equation may be simply derived from the dynamical postulate of Feynman's path integral formulation of quantum mechanics and the Hamilton-Jacobi equat...
Derivation and quantitative analysis of the differential self-interrogation Feynman-alpha method
Derivation quantitative analysis differential self-interrogation Feynman-alpha
2011/7/20
A stochastic theory for a branching process in a neutron population with two energy levels is used to assess the applicability of the differential self-interrogation Feynman-alpha method by numericall...
Feynman's Tree Theorem and Loop-Tree Dualities
Feynman's Tree Theorem Loop-Tree Dualities
2010/12/24
We discuss the duality theorem, which provides a relation between loop integrals and phase space integrals. We rederive the duality relation for the one-loop case and extend it to two and higher-order...
The classical notions of continuity and mechanical causality are left in order to refor- mulate the Quantum Theory starting from two principles: I) the intrinsic randomness of quantum process at micr...
Geometric approach to asymptotic expansion of Feynman integrals
Geometric asymptotic expansion Feynman integrals
2010/12/27
We present an algorithm that reveals relevant contributions in non-threshold-type asymptotic expansion of Feynman integrals about a small parameter. It is shown that the problem reduces to finding a c...
A Symbolic Summation Approach to Feynman Integral Calculus
Symbolic Summation Feynman Integral Calculus
2010/12/27
Given a Feynman parameter integral, depending on a single discrete variable $N$ and a real parameter $\epsilon$, we discuss a new algorithmic framework to compute the first coefficients of its Lauren...
A Symbolic Summation Approach to Feynman Integral Calculus
Symbolic Summation Feynman Integral Calculus
2010/12/27
Given a Feynman parameter integral, depending on a single discrete variable $N$ and a real parameter $\epsilon$, we discuss a new algorithmic framework to compute the first coefficients of its Laurent...
General formula for symmetry factors of Feynman diagrams
General formula symmetry factors Feynman diagrams
2010/12/24
General formula for symmetry factors of Feynman diagrams with fields having higher spin is derived. By pointing out that any fields can be treated just as scalar fields (real or complex) then symmetr...
Physical model of Schrodinger electron. Feynman convenient way in mathematical description of its quantum behaviour
Physical model of Schrodinger electron Feynman convenient way mathematical description quantum behaviour
2010/10/15
The physical model (PhsMdl) of a nonrelativistic quantized Schrodinger’s electron
(SchrEl) is offered. The behaviour of the SchrEl’s well spread (WllSpr) elementary electric
charge (ElmElcChrg) had ...
The Quantum Wave Packet and the Feynman de Broglie Bohm Propagator of the Linearized Schuch Chung Hartmann Equation along a Classical Trajetory
The Quantum Wave Packet Feynman Broglie Bohm Propagator Linearized Schuch Chung Hartmann Equation
2010/11/5
In this paper we study the quantum wave packet and the Feynman-de Broglie-Bohm propagator of the linearized Schuch-Chung-Hartmann equation along a classical trajetory.
Numerical Feynman integrals for density operator dynamics using more than one mesh: faster convergence and significant reduction of computational cost
Feynman integral path integral QUAPI Feynman-Vernon
2010/10/26
The Feynman integral is one of the most accurate methods for calculating density operator dy-
namics in open quantum systems. However, the number of time steps that can realistically be used is alway...
1965年诺贝尔物理得奖主Richard P. Feynman(图)
quantum electrodynamics deep-ploughing consequences elementary particles
2009/8/24
相空间路径积分中的Feynman规则和广义Ward恒等式
路径积分 Ward恒等式 Feynman规则 散度项
2009/6/1
基于Green函数的相空间生成泛函,导出了广义正则Ward恒等式.指出无须作出相空间生成泛函中对正则动量的路径积分,即可求得树图近似下的Feynman规则.对场的拉氏量添加一个四维散度项后,场的传播子发生了改变.
正态模糊格点的Feynman规则和轴矢流反常
模糊格点 轴矢流反常 Feynman规则
2009/5/22
在正态模糊格点费米子方案中,一个合理的自洽的Fourier变换显示了动量空间中周期性的破缺,从而避免了多余的费米子模.本文并讨论了弱耦合极限下模糊格点的费曼规则,计算了轴矢流反常的单圈微扰结果,获得了标准的Adler-Bell-Jackiw手征反常项.
Alternative Derivation of the Propagator in Polar Coordinates
by Feynman's Physical Interpretation of the Characteristic
Function
Feynman's characteristic function propagator in polar coordinates
2007/8/15
2002Vol.38No.5pp.529-532DOI:
Alternative Derivation of the Propagator in Polar Coordinates
by Feynman's Physical Interpretation of the Characteristic
Function
QIAN Shang-Wu,1 CHAN...