Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 25
... known matrix , the value of ƒ ( A ) u is known for arbitrary u , since the indicated multiplication can be carried out . Simi- larly , if the value of f ( A ) u is known for arbitrary u , f ( 4 ) may be considered a known matrix.1 As a ...
... known matrix , the value of ƒ ( A ) u is known for arbitrary u , since the indicated multiplication can be carried out . Simi- larly , if the value of f ( A ) u is known for arbitrary u , f ( 4 ) may be considered a known matrix.1 As a ...
Página 57
... known . In particular , its effect on each vector in the basis must be known . That is , the matrix L such that La¡ = & u , L , must be a known matrix . ( 4.19 ) 1 We may write in place of ( 4.16 ) and ( 4.17 ) the single relation L ...
... known . In particular , its effect on each vector in the basis must be known . That is , the matrix L such that La¡ = & u , L , must be a known matrix . ( 4.19 ) 1 We may write in place of ( 4.16 ) and ( 4.17 ) the single relation L ...
Página 257
... known as the branches of the two - valued function f ( z ) . As 0 varies continuously from 0 to 2π , fi ( z ) varies from p to -p and fa ( z ) varies from -p to p . Thus a revolution of z about the origin ( the branch point of z1⁄2 ) ...
... known as the branches of the two - valued function f ( z ) . As 0 varies continuously from 0 to 2π , fi ( z ) varies from p to -p and fa ( z ) varies from -p to p . Thus a revolution of z about the origin ( the branch point of z1⁄2 ) ...
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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Términos y frases comunes
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