Quantum Mechanics: Physical Problems in one-dimension

Other Course , Prof. Donylee

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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 1: QM1.1 The Free Particle - Continuous States

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        Lecture Details

        We start our escapade of solving one-dimensional physical problems with the Free Particle, one that is easy to solve by hard to understand. Solving the Schrödinger gives us continuous states. For an in-depth study, check out www.gaussianmath.com

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