Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página ix
... Infinite Insulated Plate . Cartesian Coordinates • 128 10.3 The Vibrating Rectangular Membrane . 130 10.4 Conduction of Heat in an Infinite Insulated Plate ; Plane Polar Coordinates 131 10.5 Theorems on Cylindrical Functions ( of ...
... Infinite Insulated Plate . Cartesian Coordinates • 128 10.3 The Vibrating Rectangular Membrane . 130 10.4 Conduction of Heat in an Infinite Insulated Plate ; Plane Polar Coordinates 131 10.5 Theorems on Cylindrical Functions ( of ...
Página 122
... infinite , approach those of Sec . 9.3 for & becoming infinite . In particular , ( 9.36 ) may be written as ( with w1 == nπ / L ) d ( x − x ' ) - Σ - 2 n = 1 L 200 = - sin wax sin wax ' Σ ( n + 1 π n = 1 which becomes , for infinite L ...
... infinite , approach those of Sec . 9.3 for & becoming infinite . In particular , ( 9.36 ) may be written as ( with w1 == nπ / L ) d ( x − x ' ) - Σ - 2 n = 1 L 200 = - sin wax sin wax ' Σ ( n + 1 π n = 1 which becomes , for infinite L ...
Página 297
... infinite bar , 113-114 in infinite plate , 128-134 , 140-141 in infinite solid , 163 Heaviside , O. , 100 Heaviside step function , 99 Heine , E. , 164 Heitler , W. , 154 Helmholtz equation , 183 Hermitian adjoint of matrix , 56 , 80 ...
... infinite bar , 113-114 in infinite plate , 128-134 , 140-141 in infinite solid , 163 Heaviside , O. , 100 Heaviside step function , 99 Heine , E. , 164 Heitler , W. , 154 Helmholtz equation , 183 Hermitian adjoint of matrix , 56 , 80 ...
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