This will be the approach we employ as we seek to minimize the expected value of the stochastic action. Derivation of Dirac equation Let us find the minimum of the expected value of the stochastic action using the Lagrangian (8). Let us substitute this Lagrangian in (6): $$\begin{aligned...
Santamato E and De Martini F 2013 Derivation of the Dirac equation by conformal differential geometry Found. Phys. to appearSantamato, E., De Martini, F.: Derivation of the Dirac Equation by conformal differential geometry. Found. Phys. 43 , 631–641 (2013) ADS MATH MathSciNet...
The group-theoretical analysis of the algebra of experimentally observables physical quantities for the spin 1/2 doublet is presented. It is shown that both the Foldy-Wouthuysen equation for the fermionic spin 1/2 doublet and the Dirac equation in its local representation are the consequences ...
Bragg’s law states the relationship between the angle at which the maximum intensity of X-rays gets diffracted to the wavelength and the distance between the atoms. Basically, the law explains the relationship between an x-ray light shooting into and i
Consider a system of particles with wave function ψψ(x) (x can be understood to stand for all degrees of freedom of the system; so, if we have a system of two particles then x should represent {x1;y1;z1;x2;y2;z2x1;y1;z1;x2;y2;z2}). The expectation value of an operator...
1a) when his wavelets represent the first derivative of Dirac delta distributions and the source motion is equal to the propagation speed. For the sphere and the infinite plane there is no wake and there is no backward wave, thus solving the two most long standing problems (1678). An ...
摘要: The Dirac propagator ( γ p m ) 1 has been calculated as a path integral over a recently proposed classical action. Thus a new formulation is given to the longstanding problem of extending the path integration to discrete quantum spin as an integral over a continuous variable....
M Rezaiee-Pajand,M Karkon - 《European Journal of Mechanics A/solids》 被引量: 23发表: 2013年 Derivation of Dirac's Equation from the Evans Wave Equation The Evans wave equation [1] of general relativity is expressed in spinor form, thus producing the Dirac equation in general relativity...
namely Boltzmann’s equation for the evolution of the distribution function in particle phase space. By considering a suitable hydrodynamic scaling regime, one can then derive solutions to the incompressible Euler equation from the Boltzmann equation. Much research has been done on this topic, and we...
5 Technical detail in the solution of the hydrogen atom 4 A more general completeness relation for Dirac spinors 3 Weyl transformation of Dirac equation 3 Understanding solutions of the Dirac equation 4 Second order relativistic corrections to Pauli equation from Dirac equation 1 Remo...