Learning objective
Explain the properties of Hermitian operators and the physical meaning of commutators.
Learn to find the energy spectrum of a free particle, a potential well and a harmonic oscillator.
Calculate the transmission and reflection coefficients at a potential barrier.
Analyse manifestations of the tunnel effect in nature and technology.
Expected outcomes
Knows that quantities with commuting operators are simultaneously measurable.
Calculates the energy of a particle in infinite and finite wells and the oscillator levels $E_n = \hbar\omega(n+\tfrac12)$.
Estimates the barrier transmission coefficient with $D \approx e^{-2\kappa a}$.
Explains alpha decay, field electron emission and the operating principle of the tunnelling microscope.
Activities
Lecture
Lecture · 1 h 20 min ·
required
Problem solving on the topic "Simple quantum systems. The tunnel effect"
Practice · 1 h 20 min ·
required
Alpha decay of nuclei. Field electron emission
Self-study · 6 h 10 min ·
optional
Final test
Test · 20 min ·
required
· pass ≥ 70%
Completion conditions
- Lecture
- Problem solving on the topic "Simple quantum systems. The tunnel effect"
- Final test — at least 70%