Central Potential Problems
Central Potential Problems
Rigid Rotator
- When the distance between tow point particle is always constant and can rotate about on axi...}
Central Potential Problems
Schrodinger equation for rigid rotator.
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The normalized \(\Phi\) equation for rigid rotator is given by
$$\Phi(\phi)= \fr...}
Central Potential Problems
Schrodinger equation for rigid rotator. [ continue ]
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So, the normalized \(\Theta\) equation for rigid rotator is,
$$\Theta(\theta)= \...}
Central Potential Problems
Schrodinger Equation for two interacting particle in Spherical co-ordinate
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$$or,\;\; (\nabla_r^2- \frac{L^2}{2\mu r^2}\biggr)|\psi_\mu(r)>= \frac{2\mu}{\hbar^2...}
Central Potential Problems
Particle in a Spherical-Box
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The number \(n_i>0\) gives the volume of octant having energy \(E_f\) and givi...}
Central Potential Problems
Isotopic Harmonic Oscillator
- In the cartesian co-ordinate, the Hamiltonian of the system can be written as,
Central Potential Problems
General Result for two particle bound state
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$$=\frac{-<T>}{\mu}$$
Since, <T> is always positive, which show that...}