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
4.1 ( 11 )
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
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.