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the full description of the spectrum and the proof of the completeness of the system of eigenfunctions are also due to mikhlin, and partly to v.g.
the full description of the spectrum and the proof of the completeness of the system of eigenfunctions are also due to mikhlin, and partly to v.g.
the spectrum is made of eigenvalues and eigenfunctions, forming together the "discrete spectrum", and generalizations, called the continuous spectrum.
the spectrum is made of eigenvalues and eigenfunctions, forming together the "discrete spectrum", and generalizations, called the continuous spectrum.
upon seeing the book, ewald was compelled to write a detailed review describing it as providing mathematical tools, characterized by eigenvalues and eigenfunctions, for the theoretical physics then being developed.
upon seeing the book, ewald was compelled to write a detailed review describing it as providing mathematical tools, characterized by eigenvalues and eigenfunctions, for the theoretical physics then being developed.
these closed objects are commonly called spherical harmonics, although they are only remotely related to the mathematical definition found in the solution to certain wave functions, most notable the eigenfunctions of angular momentum operators. written by paul bourke and jamie zawinski.
estes objectos fechados são chamados normalmente de harmónicas esféricas, ainda que só sejam remotamente relacionadas com a definição matemática encontrada na solução para certas funções ondulatórias, em que são mais notáveis as funções de eigen dos operadores do momento angular. feito por paul bourke e jamie zawinski.
