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
Solution for Diagonalizable Matrices | 21 |
12 | 37 |
Vector Spaces and Linear Operators | 50 |
Derechos de autor | |
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Términos y frases comunes
analytic approximate arbitrary asymptotic ax² Bessel function boundary conditions chap coefficients consider constant contour coordinates corresponding cylindrical functions d₁ d²/dx² defined denotes determinant diagonal differential equation Dirac notation ei(p eigen eigencolumn eigenfunctions eigenvalue equation eigenvalue problem eigenvector eikr element evaluate expansion finite number follows Fourier integral theorem function f(x given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral representation integrand inverse Laplacian linear lowest eigenvalue matrix method multiplication notation obtained operator orthonormality conditions perturbation plane relations result Ritz method row or column saddle point saddle-point method satisfy the orthonormality scattering sinh solution solve spherical spherical harmonics substitution transformation functions trial functions vanish variable vector vector space verified wave written yields zero ηπχ πρ ди ду дх