Classical Theory of Electricity and Magnetism: (a Course of Lectures) |
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Page 69
... matrix multiplication relation and shows that if J indicates the determinant la 1 , then J2 1 or J = ± 1 . For any change of coordinates which does not involve a reflection ( i.c. a change from left - handed to right - handed coordinate ...
... matrix multiplication relation and shows that if J indicates the determinant la 1 , then J2 1 or J = ± 1 . For any change of coordinates which does not involve a reflection ( i.c. a change from left - handed to right - handed coordinate ...
Page 299
... matrix form x ' ; = Σ α * xx With ( 7 ) 1 u 0 0 √1 - u2 / k2 √1 - u2 / k2 0 1 0 0 = 0 0 1 0 ( 8 ) u / k2 1 0 0 √1 - u2 / k2 1- 1- u2 / k2 the constant k has the dimensions of velocity and defines an invariant velocity . If we put k ...
... matrix form x ' ; = Σ α * xx With ( 7 ) 1 u 0 0 √1 - u2 / k2 √1 - u2 / k2 0 1 0 0 = 0 0 1 0 ( 8 ) u / k2 1 0 0 √1 - u2 / k2 1- 1- u2 / k2 the constant k has the dimensions of velocity and defines an invariant velocity . If we put k ...
Page 304
... matrix a ' which is reciprocal to the matrix a , ( this reciprocal matrix exists because determinant of a " , does not vanish ; in fact the reciprocal matrix is merely the Lorentz transformation matrix from S to S'i.e . dx " " a " " dx ...
... matrix a ' which is reciprocal to the matrix a , ( this reciprocal matrix exists because determinant of a " , does not vanish ; in fact the reciprocal matrix is merely the Lorentz transformation matrix from S to S'i.e . dx " " a " " dx ...
Contents
The empirical basis of electrostatics | 1 |
Direct calculation of fields | 7 |
dipoles9 The Dirac 8function13 | 13 |
Copyright | |
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angle angular axes axis B₁ boundary conditions calculate called charge density charged particle coil components conductor consider coordinates cos² cose dielectric constant dipole dipole moment direction distance E₁ electric field electromagnetic field electromotive force electron electrostatic equation 16 expression field due field point finite fluid formula frame frequency function gives Hence incident interaction Laplace's equation linear Lorentz Lorentz transformation magnetic field magnitude Maxwell's equations momentum motion normal obtain orthogonal P₁ permanent magnets perpendicular photon plane plasma point charge polarization Poynting vector R₁ radiation field radiation reaction radius refracted region scalar sin² solution spherical surface integral symmetry tensor term theorem theory of relativity transformation transverse uniform vanishes vector potential velocity wave length Απ дв дг ді дх