Other Course , Prof. Donylee

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Other Course , Prof. Donylee

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

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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3.8 (5 Ratings)

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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- 1.QM1.1 The Free Particle - Continuous States
- 2.QM1.2 The Free Particle - Analyzing the Solutions
- 3.QM1.3 The Free Particle - Are continuous states physical?
- 4.QM1.4 The Free Particle - A Gaussian Wave Packet
- 5.QM1.5 The Free Particle - Calculating our wave packet
- 6.QM2.1 Potential Step E ≥ V₀ - Solving the Schrödinger Equ.
- 7.QM2.2 Potential Step E ≥ V₀ - Description of Plane Waves
- 8.QM2.3 Potential Step E ≥ V₀ - Probability Current Density
- 9.QM2.4 Potential Step E ≥ V₀ - Calculating R and T
- 10.QM2.5 Potential Step E ≥ V₀ - Explaining Quantum Behavior
- 11.QM2.6 Potential Step E ≤ V₀ - Particle-like gets stopped
- 12.QM2.7 Potential Step E ≤ V₀ - The strange evanescent wave
- 13.QM3.1 Infinite Square Well - Deriving discrete energy value
- 14.QM3.2 Infinite Square Well - What is zero-point energy?
- 15.QM3.3 Infinite Square Well - Unusual probability densities
- 16.QM4.1 Potential Barrier E ≥ V - The scattering problem
- 17.QM4.2 Potential Barrier E ≥ V - Ratio transmitted particles
- 18.QM4.3 Potential Barrier E ≥ V - Energy values and Resonance
- 19.QM4.4 Potential Barrier E ≥ V - Full transmission of part.
- 20.QM5.1 Tunneling - Setting the situation
- 21.QM5.2 Tunneling - Deciphering the wave-like particle
- 22.QM5.3 Tunneling - Penetrating the potential barrier
- 23.QM5.4 Tunneling - Further analysis of T
- 24.QM5.5 Tunneling - The WKB approximation method
- 25.QM6.1 Finite Square Well E ≥ V₀ - Introduction
- 26.QM6.2 Finite Square Well E ≥ V₀ - Unphysical Solutions
- 27.QM6.3 Finite Square Well E ≥ V₀ - Fourier transform revisit
- 28.QM6.4 Finite Square Well E ≤ V₀ - Outside the well
- 29.QM6.5 Finite Square Well E ≤ V₀ - Antisymmetric solutions
- 30.QM6.6 Finite Square Well E ≤ V₀ - Boundary conditions
- 31.QM6.7 Finite Square Well E ≤ V₀ - A graphical solution
- 32.QM6.8 Finite Square Well E ≤ V₀ - Discrete energy specturm

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