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 Potential Barrier, case E ≤ V₀ - Tunneling
With rigorous calculations, we finally see the fruits of our work. With irrefutable evidence, we explain conclusive with a non-zero probability from the transmission coefficient that quantum mechanical objects can tunnel through classically impenetrable barriers, very unlike classical mechanics.
Note Unlike the previous problems, I hope you watch all of the first four of this series, QM5.1 to QM5.4, to fully understand this phenomena.
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.