# 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 Infinite Square Well Potential

Once we have determine the energy values, notice that n=0 gives E₀=0, an interesting result indeed. We shall soon see that quantum systems CANNOT have zero energy and so we label E₁ as the ground state energy or zero-point energy.

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.