Fourier Transform and Free Hamiltonian
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.
KeywordsFourier Transform Sobolev Space Inverse Fourier Transform Free Particle Momentum Operator
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