# Quantum Mechanics: Physical Problems in one-dimension

Other, , Prof. Donylee

Updated On 02 Feb, 19

Other, , Prof. Donylee

Updated On 02 Feb, 19

Contents:

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

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4.1 ( 11 )

The Potential Barrier, case E ≤ V₀ - Tunneling

Our last step of analyzing the idea of tunneling is to investigate the probability or proportion of particles that will tunnel through the potential barrier upon adjusting the various parameters.

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

Sam

Sep 12, 2018

Excellent course helped me understand topic that i couldn't while attendinfg my college.

Dembe

March 29, 2019

Great course. Thank you very much.