This is an important application of Schrodinger Equation. I have tried to solve the problem in easy way that can be easily understand by the students of B. Sc. T. Y.
Harmonic Oscillator-Energy Levels
Harmonic motion occurs when system of some kind vibrate about equilibrium position. Ex. Thermal vibration of the atoms in a lattice. Motion of simple pendulum. In simple case of harmonic motion the restoring
Application of Schrodinger Equation to particle in one Dimensional Box: Energy quantization
It is very interesting application of Schrodinger equation.. we find the solution to Schrodinger equation for particle moving under some type of interaction. the motion of particle in one dimensional box is to
Schrodinger equation in steady state form
In many situations the potential energy V is not a function of time and function of position only. Therefore the Schrodinger's equation is modified by removing all references to time explicity. so in
Schrodinger equation-using oprators
The total energy and Momentum are the dynamical quantities and changing with time, therefore difficult to find their expection values hence these quantities are converted into their corresponding differential oprators and used for
Lect. 1 Schrodinger equation in time dependent form
The time dependent form of Schrodinger has been derived by using the freely moving particle and not be. interacted. the expression is derived in simple form and easy for understanding for B. Sc.
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