1. Explain electron motion in a periodic potential using Kronig-Penny model and explain the energy spectrum...

1. Explain electron motion in a periodic potential using Kronig-Penny model and explain the energy spectrum

2. Derive expressions for current flow in DC and AC Josephson effects

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genius_generous answered 2 years ago

Vibrational motion: (a) Explain difference between infinite potential well model and harmonic potential model. (b) Explain...

Vibrational motion: (a) Explain difference between infinite potential well model and harmonic potential model. (b) Explain zero-point energy.

1.) what are electron levels? Please describe. 2.) explain how the number of protons, electrons, neutrons and electron energy levels are related on the periodic table.

Explain conservation of mechanical energy (including formula) in terms of potential and kinetic energy using an...

Explain conservation of mechanical energy (including formula) in terms of potential and kinetic energy using an example in your sport

Motion of an election in a hydrogen atom corresponds to the potential energy U(r) = −...

Motion of an election in a hydrogen atom corresponds to the potential energy U(r) = − e^2/(4πε0r) , 4πε0 r which comes from the Coulomb attraction between the electron and the proton. Using the uncertainty relation between the momentum of the electron, and its position, estimate the size of the hydrogen atom.

Find the energy spectrum of a particle in the infinite square well, with potential U(x) →...

Find the energy spectrum of a particle in the infinite square well, with potential U(x) → ∞ for |x| > L and U(x) = αδ(x) for |x| < L. Demonstrate that in the limit α ≫ hbar^2/mL, the low energy part of the spectrum consists of a set of closely-positioned pairs of energy levels for α > 0. What is the structure of energy spectrum for α < 0?

What is the main results obtaining from the Kronnig-Penny model with periodical rectangular potential?

a) An electron with 10.0 eV kinetic energy hits a 10.1 eV potential energy barrier. Calculate...

a) An electron with 10.0 eV kinetic energy hits a 10.1 eV potential energy barrier. Calculate the penetration depth. b) A 10.0 eV proton encountering a 10.1 eV potential energy barrier has a much smaller penetration depth than the value calculated in (a). Why? c) Give the classical penetration depth for a 10.0 eV particle hitting a 10.1 eV barrier.

Calculate all of the energy levels for an electron in the finite potential well of width...

Calculate all of the energy levels for an electron in the finite potential well of width a) L = 10 Å, b) L = 50 Å, c) L = 100 Å and L = 1000 Å using the actual mass of an electron for the conduction band of the AlGaAs/GaAs/AlGaAs quantum well. Repeat problem using a) the effective mass of an electron in GaAs (electron effective mass meff = 0.067*mass of an electron)

An electron is confined by some potential energy well centered about the origin, and is represented...

An electron is confined by some potential energy well centered about the origin, and is represented by the wave function ψ(x) = Axe−x2/L2, where L = 4.48 nm. The electron's total energy is zero. (a) What is the potential energy (in eV) of the electron at x = 0? eV (b) What is the smallest value of x (in nm) for which the potential energy is zero? nm

1. Consider an electron in a 1D harmonic oscillator potential. Suppose the electron is in a...

1. Consider an electron in a 1D harmonic oscillator potential. Suppose the electron is in a state which is an equal mix of the ground state and the first-excited state. a) Write the time-dependent state in Dirac notation. b) Calculate 〈x〉. Calculate 〈p〉 using raising and lower operators. c) Graph 〈x〉 as a function of time.

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