Quantum Mechanics: Physical Problems in one-dimension
Other, , Prof. Donylee
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Updated On 02 Feb, 19
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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With our aim of localizing the wave function, we use a Gaussian wave packet in the form of φ(k) for our Fourier Transform. The values of the function φ(k) will be used as the amplitudes of the solutions that when superimposed, interfere constructively in a finite region.
For an in-depth study, check out www.gaussianmath.com
Sep 12, 2018
Excellent course helped me understand topic that i couldn't while attendinfg my college.
March 29, 2019
Great course. Thank you very much.