Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página 5
... solving the equa- tions of motion suggests itself : What solutions exist in which the depend- ent variables do not change with time ? To find this ... solved for prescribed values of FORMULATION OF THE PROBLEM AND DEVELOPMENT OF NOTATION 5.
... solving the equa- tions of motion suggests itself : What solutions exist in which the depend- ent variables do not change with time ? To find this ... solved for prescribed values of FORMULATION OF THE PROBLEM AND DEVELOPMENT OF NOTATION 5.
Página 6
... solved is characterized by its form , as given in ( 1.11 ) , by the number of dependent variables n , and by the n2numbers m ,,, i , andjtaking on the n values 1 , 2 , ... , n 1 , n independently . As can be seen from - the examples ...
... solved is characterized by its form , as given in ( 1.11 ) , by the number of dependent variables n , and by the n2numbers m ,,, i , andjtaking on the n values 1 , 2 , ... , n 1 , n independently . As can be seen from - the examples ...
Página 87
... solving the latter ( discrete ) problem might be expected , in the limit as Ax → 0 , to lead to a procedure for ... solved is THE TRANSITION TO CONTINUOUS SYSTEMS 87 The RC Line--Transition to the Continuous Case 4 Solution of the ...
... solving the latter ( discrete ) problem might be expected , in the limit as Ax → 0 , to lead to a procedure for ... solved is THE TRANSITION TO CONTINUOUS SYSTEMS 87 The RC Line--Transition to the Continuous Case 4 Solution of the ...
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