Browsing by Author "He Bing-Hau"

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Toward Exact Analytical Wave Function of Helium Atom: Two Techniques for Constructing Homogeneous Functions of Kinetic Energy Operator
(2016-01)
He Bing-Hau
;
Witek, Henryk A.
;
應用化學系
;
應用化學系分子科學碩博班
;
Department of Applied Chemistry
We discuss two general techniques for constructing homogeneous functions c of the kinetic energy operator T for the helium atom in a state of symmetry S. The first technique is based on algebraic identification of the kernel of T in a space spanned by some predetermined set of basis functions. The second technique, analytic in nature, constructs the homogeneous functions of T as formal power series with coefficients deduced from recurrence relations stemming from the requirement Tc=0. Both approaches are capable of producing a great variety of homogeneous functions c with arbitrary homogeneity that can prove useful for constructing the exact ground state wave function for the helium atom.
Toward Exact Analytical Wave Function of Helium Atom: Two Techniques for Constructing Homogeneous Functions of Kinetic Energy Operator
(2016-01-01)
He Bing-Hau
;
Witek, Henryk A.
;
應用化學系
;
應用化學系分子科學碩博班
;
Department of Applied Chemistry
We discuss two general techniques for constructing homogeneous functions c of the kinetic energy operator T for the helium atom in a state of symmetry S. The first technique is based on algebraic identification of the kernel of T in a space spanned by some predetermined set of basis functions. The second technique, analytic in nature, constructs the homogeneous functions of T as formal power series with coefficients deduced from recurrence relations stemming from the requirement Tc=0. Both approaches are capable of producing a great variety of homogeneous functions c with arbitrary homogeneity that can prove useful for constructing the exact ground state wave function for the helium atom.