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 ( A ) 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 ( A ) 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 Lu1 = Σu , L ( 4.19 ) must be a known matrix . 1 1 We may write in place of ( 4.16 ) and ( 4.17 ) the single relation ( ax + ...
... known . In particular , its effect on each vector in the basis must be known . That is , the matrix L such that Lu1 = Σu , L ( 4.19 ) must be a known matrix . 1 1 We may write in place of ( 4.16 ) and ( 4.17 ) the single relation ( ax + ...
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 p1⁄2 to -p and fa ( z ) varies from -p to p . Thus a revolution of z about the origin ( the branch point of z ) ...
... known as the branches of the two - valued function f ( z ) . As 0 varies continuously from 0 to 2π , fi ( z ) varies from p1⁄2 to -p and fa ( z ) varies from -p to p . Thus a revolution of z about the origin ( the branch point of z ) ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх