Spectral Decomposition I

Part of the Progress in Mathematical Physics book series (PMP, volume 54)


In this chapter the decomposition of a self-adjoint operator in discrete and essential parts is discussed, with an important application to the hydrogen atom hamiltonian. Other applications include the discrete spectrum in case of unbounded potentials in ℝ n and the comparison of the spectra of different self-adjoint extensions (in case of finite deficiency indices).


Compact Operator Discrete Spectrum Spectral Decomposition Negative Eigenvalue Essential Spectrum 


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© Birkhäuser Verlag AG 2009

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