(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Supposed that [tex]\psi[/tex]_{1}and [tex]\psi[/tex]_{2}are two different solutions of the TISE with the same energy E.

a) show that [tex]\psi[/tex]_{1}+ [tex]\psi[/tex]_{2}is also a solution with energy E.

b) show that c*[tex]\psi[/tex]_{1}is also a solution with energy E.

2. Relevant equations

TISE: (-[tex]\hbar[/tex]/2m)*[tex]\nabla[/tex]^2*[tex]\psi[/tex](r) +V(r)*[tex]\psi[/tex](r) = E*[tex]\psi[/tex](r)

3. The attempt at a solution

My first thought was to solve by substitution but since it doesn't give us the 2 solutions as a function I can't do that. Should I just find 2 different solutions and plug them in to the TISE to see if they satisfy? I feel I am missing a rule or a postulate to solve this with.

P.S. I am very new to QM, be gentle

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# Solutions of of the time-independent Schrodinger eq.

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