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One‐range Addition Theorems for Complete Sets of Modified Exponential Type Orbitals and Noninteger n Slater Functions in Standard Convention
Author(s) -
Guseinov I. I.
Publication year - 2014
Publication title -
journal of the chinese chemical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 45
eISSN - 2192-6549
pISSN - 0009-4536
DOI - 10.1002/jccs.201300369
Subject(s) - exponential type , chemistry , laguerre polynomials , atomic orbital , type (biology) , exponential function , slater type orbital , range (aeronautics) , quantum mechanics , mathematical physics , atomic physics , mathematical analysis , mathematics , physics , molecular orbital theory , electron , ecology , materials science , composite material , biology
Using the L ( p l*)‐generalized Laguerre polynomials L ( p l*)‐GLPs) and φ ( p l*)‐generalized exponential type orbitals φ ( p l*)‐GETOs) introduced by the author in standard convention, the one‐ and two‐center onerange addition theorems are established for the complete sets of Ψ (α*) ‐modified exponential type orbitals (Ψ (α*) ‐METOs) and noninteger n χ‐Slater type orbitals (χ‐NISTOs), where p l * = 2 l + 2 ‐ α* and α* is the integer (α* = α, −∞ < α ≤2) or noninteger (α* ≠ α, −∞ < α* < 3) self‐frictional quantum number. It should be noted that the origin of the L ( p l*)‐GLPs, φ ( p l*)‐GETOs and Ψ (α*) ‐METOs, therefore, of the one‐range addition theorems presented in this work is the Lorentz damping or self‐frictional field produced by the particle itself.