Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 85
... finite number of degrees of freedom , i.e. , systems with a finite number of coordinates . There are a large number of problems , however , which involve continuous systems . Two examples of continuous systems are the finite ...
... finite number of degrees of freedom , i.e. , systems with a finite number of coordinates . There are a large number of problems , however , which involve continuous systems . Two examples of continuous systems are the finite ...
Página 112
... finite . This equation has as solutions s ( x , w ) = eiwx - @ < + ∞ ( 9.2 ) where the condition that s ( ± ∞ , ∞ ) be finite requires ∞ to be real . Since the matrix S , denoted by T , must satisfy the pair of relations has a ...
... finite . This equation has as solutions s ( x , w ) = eiwx - @ < + ∞ ( 9.2 ) where the condition that s ( ± ∞ , ∞ ) be finite requires ∞ to be real . Since the matrix S , denoted by T , must satisfy the pair of relations has a ...
Página 266
... finite and infinite dimensional linear vector spaces , it will be necessary to extend the interpretation of the notation in Chap . 5 , which dealt with finite dimensional spaces only , to cover the infinite dimensional spaces as well ...
... finite and infinite dimensional linear vector spaces , it will be necessary to extend the interpretation of the notation in Chap . 5 , which dealt with finite dimensional spaces only , to cover the infinite dimensional spaces as well ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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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