Variational Principle in QM Example 1: Quantum Harmonic Oscillator
In this video I will do an example for the variational principle in QM. I will estimate the ground state for the quantum harmonic oscillator.
My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Explaining the problem
01:28 Normalizing the wavefunction
01:50 How to solve a gaussian integral (EXTREMELY IMPORTANT)
03:55 Calculating expectation value of kinetic part
07:10 Another EXTREMELY important integral
12:50 Expectation value of the potential
17:30 Minimizing the parameter
Видео Variational Principle in QM Example 1: Quantum Harmonic Oscillator канала Nick Heumann
My name is Nick Heumann, I am a recently graduated physicist. I love to teach physics, so I decided to give YouTube a try. English is not my first language, but I hope that you can understand me well enough regardless.
▬ Contents of this video ▬▬▬▬▬▬▬▬▬▬
00:00 Explaining the problem
01:28 Normalizing the wavefunction
01:50 How to solve a gaussian integral (EXTREMELY IMPORTANT)
03:55 Calculating expectation value of kinetic part
07:10 Another EXTREMELY important integral
12:50 Expectation value of the potential
17:30 Minimizing the parameter
Видео Variational Principle in QM Example 1: Quantum Harmonic Oscillator канала Nick Heumann
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