Answer to Question #167015 in Quantum Mechanics for Ankita

Question

If the functions Y1 and Y2 are solutions of the Schrödinger equation for a particle, then show that a1Y1 + a2Y2, where a1 and a2 are arbitrary constants, is also a solution of the same equation.

Answer 1

Answer

If Y1and Y2 are two solutions of Schrodinger Wave equation then Since Schrodinger equation is linear in

Y= a1Y1 + a2Y2

the addition of two solutions of the equation is also a solution of the same equation.

This is possible according to postulates of Quantum mechanics.