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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 30: QM6.6 Finite Square Well E ≤ V₀ - Boundary conditions

4.1 ( 11 )

###### Lecture Details

The Finite Square Well Potential, case E ≤ V₀
To accomplish our objective or finding the energy values, we apply the boundary conditions, but this time we will apply it to both the antisymmetric and symmetric solutions at only ONE point, that is x = -a2 or x = a2.

Application of such conditions varies based on what we are finding. Here, it is the energy values and not the transmission coefficients.

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

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