The time independent Schrödinger wave equation

The time independent Schrödinger wave equation

1. Time independent Schrodinger wave equation Dr. Mithil Fal Desai Shree Mallikarjun and Shri Chetan Manju Desai College Canacona Goa  

2. = wave function = mass h = plank constant E = total energy V = potential energy   Schrodinger time independent wave equation  

3. Sin (0) = 0 Sin (90) = 1 Sin (x) = y f(x) = y Remember f(x)

4. Understanding first and second derivative Difficult?

5. Understanding first and second derivative (easy) Time Distance speed acceleration t x dx/dt =speed d speed/dt= acceleration 2 1 1 2 3 2 2 5 5 10 3 10 15 15 4 25 30 20 5 55 50 30 6 105 80 35 7 185 115 8 300

6. Schrodinger wave equation --1   A standing wave having wavelength ( ) that has an amplitude at any point along x direction is mathematically described as a function f(x)  

7. --2   If a wave function f(x) is represented as (psi) the equation can be written as   Schrodinger wave equation

8. --3   When this standing wave is considered in 3 dimensions having x, y and z coordinates Schrodinger wave equation

9. --4   Schrodinger wave equation If,   is called Del Operator  

10. --5   Schrodinger wave equation   de Broglie states that

11. --6   Schrodinger wave equation From equation 4 and 5

12. K. E. --7   Schrodinger wave equation The total energy (E) of system is given as

13. ---8   Schrodinger wave equation From equation 6 and 7 Time independent Schrodinger wave equation

14. Schrodinger wave equation general form = Hamiltonian operator, E= Eigen value, specific values of energy     Can you state from equation 8?