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Superposition of States | Quantum Mechanics

Superposition of States

if $|\phi_{1}\succ,|\phi_{2}\succ,|\phi_{3}\succ……|\phi_{n}\succ$

are orthonormal state vectors/wave functions and are represnting state of quantum mechanics system.

Then any linear combination will also represent the state of a quantum mechanics system.

In other words, if $\phi_{1},\phi_{2},…..\phi_{n}$ are solutions of Schrodinger equation, then linear combination/superposition of the states i.e.



will also be a solution of Schrodinger equation.


(1) $|\psi\succ$ will be normalized if:


(2) Probability of finding a particle in $|\phi_{1}\succ state:


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