Particles, Astrophysics, and Nuclear Physics Seminar
Nuclear Science Institute, UNAM, Mexico City
The H2+ Molecular Ion: A Solution
The Coulomb problem of two fixed charge centers and an electron (ppe) is considered. It is integrable and admits a variable separation in prolate spheroidal coordinates. The problem has hidden algebraic structure sl2 ⊕ sl2.
Combining the WKB expansion at large distances (leading and sub-leading terms) and perturbation theory at small distances, a compact uniform approximation for eigenfunctions is constructed. For the two lowest eigenstates, 1sg and 2pu, this approximation provides the relative accuracy ≤ 10-5 (not less than 5 s.d.) for any real x in eigenfunctions and for the total energy E(R), it gives 10-11 significant digits (s.d.) for internuclear distances R in the range [0-50]. Corrections to the proposed approximations are evaluated perturbatively. Separation constants and the oscillator strength for the transition 1sg↔2pu are calculated and compared with existing numerical data.
|What||Particles, Astrophysics, and Nuclear Physics Seminar|
from 14:00 to 15:00
|Where||Gant Science Complex, Physics Building, Room P121|
|Note||This is Part I of Joint UConn Particles, Astrophysics, and Nulear/ Atomic, Molecular, and Optical Physics Seminar|
|Add event to calendar||