## Schrodinger Equation and The Wave Function

In this lesson you will learn about the time-dependent and independent Schrödinger equation (1d, 3d), how it is derived and what you can do with it.

Theoretical tools and models of quantum mechanics

Level 3 requires the basics of vector calculus, differential and integral calculus. Suitable for undergraduates and high school students.

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Lesson ## Schrodinger Equation and The Wave Function

In this lesson you will learn about the time-dependent and independent Schrödinger equation (1d, 3d), how it is derived and what you can do with it.

Video ## Schrodinger Equation explained extensively in 50 minutes!

In this quantum mechanics lecture you will learn the Schrödinger equation (1d and 3d, time-independent and time-dependent) within 45 minutes.

## Related formulas

Formula ## Time independent Schrödinger equation (3d)

`$$ W \, \mathit{\Psi} ~=~ - \frac{\hbar^2}{2m} \, \nabla^2 \, \mathit{\Psi} ~+~ W_{\text{pot}} \, \mathit{\Psi} $$`Formula ## Time-dependent Schrödinger equation (3d)

`$$ i \, \hbar \, \frac{\partial \mathit{\Psi}}{\partial t} ~=~ - \frac{\hbar^2}{2m} \, \nabla^2 \, \mathit{\Psi} ~+~ W_{\text{pot}} \, \mathit{\Psi} $$`