Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 107
... discussion thus far has treated continuous systems in a single variable x . It is clear from the development in Chap . 7 that this variable may be used to represent the coordinate in one - dimensional physical systems . Since many ...
... discussion thus far has treated continuous systems in a single variable x . It is clear from the development in Chap . 7 that this variable may be used to represent the coordinate in one - dimensional physical systems . Since many ...
Página 111
... discussion of the RC line in Chap . 7 led to consideration of the partial differential equation Əf ( x , t ) ___ Ə2ƒ ( x , t ) ΡΥ де = ax2 0 ≤ x ≤ L with the boundary conditions af дх 0 af дх x = L = C1f ( 0,1 ) = C2f ( L , t ) In ...
... discussion of the RC line in Chap . 7 led to consideration of the partial differential equation Əf ( x , t ) ___ Ə2ƒ ( x , t ) ΡΥ де = ax2 0 ≤ x ≤ L with the boundary conditions af дх 0 af дх x = L = C1f ( 0,1 ) = C2f ( L , t ) In ...
Página 277
Gerald Goertzel, Nunzio Tralli. by analogy with the development in the discussion of Fourier's series we try as transformation functions < rlj > = NJ . ( 1 , 2 ) < j \ r > = rJ n rJ . ( 2 , 1 ) ( 2B.53 ) The as yet undetermined quantity ...
Gerald Goertzel, Nunzio Tralli. by analogy with the development in the discussion of Fourier's series we try as transformation functions < rlj > = NJ . ( 1 , 2 ) < j \ r > = rJ n rJ . ( 2 , 1 ) ( 2B.53 ) The as yet undetermined quantity ...
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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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