Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
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Página viii
... Continuous Systems 7.1 Introduction 7.2 The RC Line - Change of Notation 7.3 The RC Line - Transition to the Continuous Case 7.4 Solution of the Discrete Problem 7.5 Solution in the Limit ( Continuous Problem ) 7.6 The Fourier Transform ...
... Continuous Systems 7.1 Introduction 7.2 The RC Line - Change of Notation 7.3 The RC Line - Transition to the Continuous Case 7.4 Solution of the Discrete Problem 7.5 Solution in the Limit ( Continuous Problem ) 7.6 The Fourier Transform ...
Página 85
... continuous systems . Two examples of continuous systems are the finite transmission line with uniformly distributed constants and the vibrating string . The methods of Part One require modification if they are to be used in the study of ...
... continuous systems . Two examples of continuous systems are the finite transmission line with uniformly distributed constants and the vibrating string . The methods of Part One require modification if they are to be used in the study of ...
Página 89
... ( Continuous Problem ) In the work below , the process of solution given in Sec . 7.4 is repeated . Then , one step at a time , the limit is taken as Ax → 0 to compare with ... CONTINUOUS SYSTEMS 89 Solution in the Limit (Continuous Problem)
... ( Continuous Problem ) In the work below , the process of solution given in Sec . 7.4 is repeated . Then , one step at a time , the limit is taken as Ax → 0 to compare with ... CONTINUOUS SYSTEMS 89 Solution in the Limit (Continuous Problem)
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
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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