Quantum Theory Challenge: Hard-Level Quiz
A rigorous nine-question assessment testing advanced knowledge of quantum theory concepts.
Quiz Questions
Answer all questions below and test your knowledge.
- 1
Which statement correctly describes the stationary states of a particle in a one-dimensional infinite potential well?
- 2
If Δx·Δp ≥ ħ/2, what is the minimum possible product of uncertainties for an electron confined to a region of 0.1 nm?
- 3
In a CHSH Bell test, the maximal quantum prediction for the Bell parameter S is:
- 4
For two observables A and B with commutator [A,B]=iħC, which of the following must be true about their eigenstates?
- 5
A spin-½ particle prepared in the +x direction is measured along the z axis. What is the probability of obtaining the +z outcome?
- 6
A particle of mass m encounters a rectangular barrier of height V0 > E and width a. Which factor most strongly increases the tunneling probability?
- 7
A density matrix ρ describes a pure state if and only if:
- 8
What is the zero-point energy of a one-dimensional quantum harmonic oscillator with angular frequency ω?
- 9
The no-cloning theorem forbids which of the following operations?
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