Recent content by mjlist16

thank you for your guidance I think i may have worked out something that satisfies my ocd.

Thank you, it's just hard for me to accept this guessing method as I go further into physics, i just can't help but believe that there exists a way to explicitly solve this equation. Would a series solution work for this type?

I was reading through my Principles of Quantum Mechanics textbook and arrived at the section that discusses the quantum harmonic oscillator. In this discussion the equation ψ"-(y^2)ψ=0 presents itself and a solution is given as ψ=(y^m)*e^((-y^2)/2), similar to a gaussian function i assume. My...