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# Quantum Mechanics: Physical Problems in one-dimension

Other, , Prof. Donylee

Updated On 02 Feb, 19

##### Overview

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

## Lecture 21: QM5.2 Tunneling - Deciphering the wave-like particle

4.1 ( 11 )

###### Lecture Details

The Potential Barrier, case E ≤ V₀ - Tunneling
We seek to answer a key question What happens inside the potential barrier when the energy is less than the potential V. In classical mechanics, the particle cannot exist in this region. In quantum mechanics, it can. Employing mathematics, we explain what happens as attributed to the wave-like behavior of the particle.

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

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