Fourier Transform and Free Hamiltonian

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


The standard free energy and momentum operators are also properly defined in ℝ n through Fourier transform. It is also an opportunity to briefly discuss some aspects of Sobolev spaces and related differential operators. The definitions of distributions C 0 (Ω)′ and tempered distributions Ω, as well as their derivatives, are also recalled.


Fourier Transform Sobolev Space Inverse Fourier Transform Free Particle Momentum Operator 
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© Birkhäuser Verlag AG 2009

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