Deriving the wavefunctions and energy eigenvalues for the particle in a box - Real Chemistry

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In this video we will derive the particle in a box wavefunctions and energy eigenvalues. The wavefunctions are determined by starting with the Schrodinger equation, guessing the general functional form of the solution, and then applying the correct boundary conditions. The energy eigenvalues are also derived through the application of boundary conditions and some algebra.

To see the normalization of PIB wavefunctions see this video:
https://www.youtube.com/watch?v=wfr11_JydbY

To see the PIB energy eigenvalues derived by applying the Hamiltonian (the total energy operator) see this video:
https://www.youtube.com/watch?v=XHWPLweFVxI

Видео Deriving the wavefunctions and energy eigenvalues for the particle in a box - Real Chemistry канала Real Chemistry