Physics – Quantum Physics
Scientific paper
2010-01-20
M S Shikakhwa et al 2010 Eur. J. Phys. 31 151-156
Physics
Quantum Physics
This is an author-created, un-copyedited version of an article accepted for publication in European Journal of Physics
Scientific paper
10.1088/0143-0807/31/1/014
The angular part of the Schrodinger equation for a central potential is brought to the one-dimensional 'Schrodinger form' where one has a kinetic energy plus potential energy terms. The resulting polar potential is seen to be a family of potentials characterized by the square of the magnetic quantum number m. It is demonstrated that this potential can be viewed as a confining potential that attempts to confine the particle to the xy-plane, with a strength that increases with increasing m. Linking the solutions of the equation to the conventional solutions of the angular equation, i.e. the associated Legendre functions, we show that the variation in the spatial distribution of the latter for different values of the orbital angular quantum number l can be viewed as being a result of 'squeezing' with different strengths by the introduced 'polar potential'.
Mustafa Mohammed
Shikakhwa M. S.
No associations
LandOfFree
Effective polar potential in the central force Schrodinger equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Effective polar potential in the central force Schrodinger equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effective polar potential in the central force Schrodinger equation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-248585