Polynomial Solution of Non-Central Potentials
نویسندگان
چکیده
منابع مشابه
Polynomial Solution of Non-Central Potentials
We show that the exact energy eigenvalues and eigenfunctions of the Schrödinger equation for charged particles moving in certain class of noncentral potentials can be easily calculated analytically in a simple and elegant manner by using Nikiforov and Uvarov (NU) method. We discuss the generalized Coulomb and harmonic oscillator systems. We study the Hartmann Coulomb and the ring-shaped and com...
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If a single particle obeys non-relativistic QM in R and has the Hamiltonian H = −∆ + f(r), where f(r) = ∑k i=1 air qi , 2 ≤ qi < qi+1, ai ≥ 0, then the eigenvalues E = E (d) nl (λ) are given approximately by the semi-classical expression E = min r>0 { 1 r2 + ∑k i=1 ai(Pir) qi } . It is proved that this formula yields a lower bound if Pi = P (d) nl (q1), an upper bound if Pi = P (d) nl (qk) and ...
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ژورنال
عنوان ژورنال: International Journal of Theoretical Physics
سال: 2007
ISSN: 0020-7748,1572-9575
DOI: 10.1007/s10773-007-9356-8