One‐range Addition Theorems for Complete Sets of Modified Exponential Type Orbitals and Noninteger n Slater Functions in Standard Convention |
| |
Authors: | I I Guseinov |
| |
Institution: | Department of Physics, Faculty of Arts and Sciences, Onsekiz Mart University, ?anakkale, Turkey |
| |
Abstract: | Using the L ‐generalized Laguerre polynomials L ‐GLPs) and φ ‐generalized exponential type orbitals φ ‐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 pl* = 2l + 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 ‐GLPs, φ ‐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. |
| |
Keywords: | Standard convention Laguerre polynomials Lorentz self‐frictional field Addition theorems |
|
|