IJCTT - Computing the Solution of the Hartree Equation with Repulsive Harmonic Potential

Computing the Solution of the Hartree Equation with Repulsive Harmonic Potential

  IJCTT-book-cover
 		 International Journal of Computer Trends and Technology (IJCTT)          
 
© 2014 by IJCTT Journal
Volume-13 Number-4
Year of Publication : 2014
Authors : Liming Fu
DOI :  10.14445/22312803/IJCTT-V13P137

MLA

Liming Fu. "Computing the Solution of the Hartree Equation with Repulsive Harmonic Potential". International Journal of Computer Trends and Technology (IJCTT) V13(4):180-183, July 2014. ISSN:2231-2803. www.ijcttjournal.org. Published by Seventh Sense Research Group.

Abstract -
We study the computability of the solution operator of the initial problem for the Hartree equation with repulsive harmonic potential on the Type-2 Turing machines. We will prove that in Sobolev space ?=H1? FH1, for n?5,when the solution operator: KR : ?(Rn)? C(R;?(Rn)) is (?H1,[?-?H1])-computable. The conclusion enriches the theory of computability.

References
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Keywords
Hartree equation with repulsive harmonic potential, TTE, Sobolev space, Initial problem.