Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 11
... unit ( or identity ) matrices . Any matrix all of whose elements are zero is a zero matrix . Zero matrices have the ... unit matrix for every positive integral value of n . This matrix satisfies the relations Im = ml = m ( 1.33 ) It ...
... unit ( or identity ) matrices . Any matrix all of whose elements are zero is a zero matrix . Zero matrices have the ... unit matrix for every positive integral value of n . This matrix satisfies the relations Im = ml = m ( 1.33 ) It ...
Página 52
... unit vectors along the X , Y , and Z axes . These unit vectors are called base vectors . They define the coordinate system , or basis , in which x , y , z are the coordinates of the particle . Note that the base vectors i , j , k are ...
... unit vectors along the X , Y , and Z axes . These unit vectors are called base vectors . They define the coordinate system , or basis , in which x , y , z are the coordinates of the particle . Note that the base vectors i , j , k are ...
Página 185
... unit solid angle due to the incident current density c per unit area . Thus , if I denotes the current density ( per unit area ) of an incident plane wave along the polar axis , Io ( 0,9 ) is the scattered current density per unit solid ...
... unit solid angle due to the incident current density c per unit area . Thus , if I denotes the current density ( per unit area ) of an incident plane wave along the polar axis , Io ( 0,9 ) is the scattered current density per unit solid ...
Contenido
34 | 12 |
Solution for Diagonalizable Matrices | 21 |
The Evaluation of a Function of a Matrix for an Arbitrary Matrix | 38 |
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approximation arbitrary ax² basis Bessel functions boundary conditions Chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined definition denoted determinant diagonal differential equation Dirac notation domain eigencolumns eigenfunctions eigenvectors elements evaluate expansion F₁ finite number follows formula Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplacian linear operator linearly independent lowest eigenvalue Mathematical matrix McGraw-Hill Book Company method multiplication nonsingular normal number of degrees obtained orthonormality conditions Physics problem relations representation result Ritz method scattering sinh solution solve spherical spherical harmonics string Substitution theorem transform trial functions vanish variable vector space Verify w₁ wave write written x₁ Y₁ yields York zero ηπχ ди ду дх