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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 17: QM4.2 Potential Barrier E ≥ V - Ratio transmitted particles

4.1 ( 11 )

###### Lecture Details

The Potential Barrier, case E ≥ V₀
In analyzing the situation, we need the transmission and reflection coefficients. Apply the continuity conditions at the points x = 0 and x = a to solve the various intensities of the waves and thereby calculating R and T.

Beware, some heavy rearranging of algebraic expressions ahead. And remember that R + T = 1.

For an in-depth study, check out www.gaussianmath.com

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