Quantum Mechanics: Physical Problems in one-dimension
Other, , Prof. Donylee
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Updated On 02 Feb, 19
Physical Problems in one-dimension - Continuous States - Analyzing the Solutions - Are continuous states physical - A Gaussian Wave Packet - Calculating our wave packet - Solving the Schrdinger Equ-Description of Plane Waves - Probability Current Density - Calculating R and T- Explaining Quantum Behavior - Particle-like gets stopped - The strange evanescent wave - Deriving discrete energy value - What is zero-point energy? - Unusual probability densities - The scattering problem
Ratio transmitted particles - Energy values and Resonance - Full transmission of part.- Setting the situation - Deciphering the wave-like particle - Penetrating the potential barrier - Further analysis of T - The WKB approximation method - Introduction - Unphysical Solutions - Fourier transform revisit - Outside the well - Anti/symmetric solutions - Boundary conditions- A graphical solution- Discrete energy specturm
4.1 ( 11 )
The Finite Square Well Potential, case E ≤ V₀
In graphing the expressions for each equation, we can this famous graph in quantum mechanics showing the discrete energy values for a finite square well potential.
Note that the number of solutions depend on the size of R, which in turn depends on the depth V₀ and the width a of the well.
Also, in the limiting case V₀→∞, the circles radius R becomes infinite we recover the energy expression for the infinite well.
For an in-depth study, check out www.gaussianmath.com
Sep 12, 2018
Excellent course helped me understand topic that i couldn't while attendinfg my college.
March 29, 2019
Great course. Thank you very much.