Introduction

1. $$or,\;\;\biggl[ V(x)=\frac12 kx^w\biggr]$$

This equation gives the potential...}

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Energy eigen value of one-dimensional simple harmonic oscillator.

1. 1. From series solution

$$H(y)= \sum_{r=0}^\infty a_r y^{k+4...}

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Characteristics of Energy eigen value

• Characteristics of Energy eigen value :

1. The minimum energy of oscillator i...}

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Normalized first four wave function for simple harmonic oscillator.

• Properties of wave function of S.H.O

  1. All energy state represented by even i...}

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Probability of finding one dimensional Simple Harmonic Oscillator

• The ground state wave function for one dimensional simple harmonic oscillator is,

  <...}
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Heisenberg's Uncertainty principle

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Schrodinger time-independent equation in spherical polar co-ordinate system.

• The moment of inertia of rigid rotator ( diatomic molecule ) is given by

  $$I= m_...}

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Schrodinger time-independent equation in spherical polar co-ordinate system [ continue ]

1.  $$\beta=\frac{2IE}{\hbar^2}\dotsm$$

   This equation  is called as \(\Th...}

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Schrodinger time-independent equation in spherical polar co-ordinate system [ continue 2 ]

1. The condition of normalization is

   $$\int_0^\pi [\Theta_l^m (\theta)]^*[ \Theta_l...}

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Energy eigen value of Rigid rotator

1. . Energy eigen values of rigid rotator is discrete and energy is quantised.
2. Each e...}
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