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Back‐of‐envelope derivation of the analytical formulas of the atomic wave functions of a D ‐dimensional atom
Author(s) -
Hosoya Haruo
Publication year - 1997
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/(sici)1097-461x(1997)64:1<35::aid-qua4>3.0.co;2-2
Subject(s) - atomic orbital , algebraic expression , wave function , atom (system on chip) , envelope (radar) , quantum mechanics , physics , algebraic number , cubic harmonic , slater type orbital , simple (philosophy) , mathematical physics , classical mechanics , electron , linear combination of atomic orbitals , mathematics , mathematical analysis , telecommunications , radar , philosophy , epistemology , computer science , embedded system
A simple algebraic manipulation is presented for obtaining theanalytical rectangular coordinate expressions of the atomic orbital wavefunctions with angular quantum number l of a D ‐dimensionalatom, where no hyperspherical harmonics or any differential calculus isinvolved. A general expression of the D ‐dimensional f ‐orbitals is given which supplements the previously obtained resultof D ‐dimensional d ‐orbitals. © 1997 John Wiley& Sons, Inc. Int J Quant Chem 64 : 35–42, 1997