Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 10
... equal if each element of one equals the corresponding element of the other . Thus , if m and p are matrices and x and y are columns ( or rows ) , = m p implies m¿j x = y implies x1 = Yi Pii all i and j all i ( 1.26 ) To multiply a ...
... equal if each element of one equals the corresponding element of the other . Thus , if m and p are matrices and x and y are columns ( or rows ) , = m p implies m¿j x = y implies x1 = Yi Pii all i and j all i ( 1.26 ) To multiply a ...
Página 15
... equal to the determinant of the trans- pose of the matrix , where the transpose of a matrix m , written as m2 , is defined by ( m2 ) ;; = Mji • 2. The necessary and sufficient condition that n simultaneous linear algebraic equations in ...
... equal to the determinant of the trans- pose of the matrix , where the transpose of a matrix m , written as m2 , is defined by ( m2 ) ;; = Mji • 2. The necessary and sufficient condition that n simultaneous linear algebraic equations in ...
Página 118
... equal to 8 ( x + x ' ) + d ( x − x ' ) , of which 8 ( x + x ' ) may be omitted [ cf. Eq . ( 9.22 ) ] . The second integral is equal to λ + ∞ ( ∞ — ¡ λ )。iw ( x + x ' ) - ( w + iλ ) e ̄iw ( x + x ′ ) do 2πi 818 ( w - iλ ) ( w + iλ ) ...
... equal to 8 ( x + x ' ) + d ( x − x ' ) , of which 8 ( x + x ' ) may be omitted [ cf. Eq . ( 9.22 ) ] . The second integral is equal to λ + ∞ ( ∞ — ¡ λ )。iw ( x + x ' ) - ( w + iλ ) e ̄iw ( x + x ′ ) do 2πi 818 ( w - iλ ) ( w + iλ ) ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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Términos y frases comunes
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