Determining the BOUND STATES for the Finite square well by brute force (no tricks)
Автор: Nick Heumann University
Загружено: 2021-02-21
Просмотров: 2007
In this video I will Determine the BOUND STATES for the Finite square well by brute force, which means that I will not exploit the evenness of the potential.
In the next video we will solve this problem again, but this time using the evenness of the potential in order to simplify it.
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 Introducing the problem
00:56 Looking for bound states
01:30 Solving the Schrödinger Equation for regions 1 and 3
02:58 Solving the Schrödinger Equation for region 2
08:44 Applying the Boundary conditions
13:17 Solving the system of equations
20:40 Determining one energy equation
21:33 Solving the first transcendental equation
28:50 Determining the solutions graphically
33:27 Determining the second energy equation
34:02 Solving the second transcendental equation
36:05 Determining the solutions graphically
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