ISSN 1002-1027  CN 11-2952/G2

Acta scientiarum naturalium Universitatis Pekinensis

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Factorization of the Radial Schrodinger Equation of A Hydrogen Atom and Closeness of Classical Orbits

HUO Wujun, ZENG Jinyan   

  1. Department of Physics, Peking University, Beijing, 100871
  • Received:1997-05-23 Online:1998-09-20 Published:1998-09-20

Abstract: By using the Runge-Lenz vector and angular momentum, three kinds of raising and lowering operators(Δ(l)=±l, Δ(m)=0, ±1)conserving the energy(Δ(n)=0)are constructed. It is demonstrated that these operators are equivalent to the angular momentum raising and lowering operators(Δ(l)=±1)derived from the factorization of the radial Schrodinger equation.