Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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... finite number of degrees of freedom , and have properties inde- pendent of time are relatively simple in nature . ( See also the last para- graph of Sec . 1.2 . ) These equations are linear differential equations with constant ...
... finite number of degrees of freedom , and have properties inde- pendent of time are relatively simple in nature . ( See also the last para- graph of Sec . 1.2 . ) These equations are linear differential equations with constant ...
Página 7
... number of degrees of freedom is the num- ber of dependent variables n , so that a finite number of degrees of freedom implies finite n . The phrase properties independent of time states that the quantities m1 , are constants . 1.3 ...
... number of degrees of freedom is the num- ber of dependent variables n , so that a finite number of degrees of freedom implies finite n . The phrase properties independent of time states that the quantities m1 , are constants . 1.3 ...
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 ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
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Términos y frases comunes
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