Derivation Of Schrodinger wave equation Using postulates of Quantum mechanics

1. Mr. Rahul Chauhan
Faculty, Chemistry Department
UIT, BU Bhopal
Quantum Chemistry

2. Derivation of Schrodinger Equation
With the postulates of Quantum mechanics, it is possible to drive the Schrodinger Eqn. in a very
simple manner.
Consider an electron in an atom. Its total Energy E is given by
(1)

3. This Classical expression of the quantity E can be converted to the corresponding quantum
mechanical operator for energy by the following replacements.
And

4. (2)
Or (3)
Now according to Quantum Postulates
(4)

5. Which is the required Schrodinger Equation