1. Foundations

Quantum Basics — Quiz

Test your understanding of quantum basics with 5 practice questions.

Practice Questions

Question 1

Which quantum mechanical phenomenon describes the ability of a particle to exist in a linear combination of multiple states simultaneously until measured?

Question 2

In the context of the time-independent Schr\"odinger equation, $ -\frac{\hbar^2}{2m} \frac{d^2\Psi}{dx^2} + V(x)\Psi = E\Psi $, what does the symbol $ \hbar $ represent?

Question 3

If a particle's wave function is given by $ \Psi(x) = A e^{ikx} $, and its momentum is $ p = \hbar k $, what is the kinetic energy ($ KE $) of the particle?

Question 4

Which of the following is a direct consequence of the wave-particle duality of electrons that is crucial for the operation of a Scanning Tunneling Microscope (STM)?

Question 5

Consider a quantum dot, which is a semiconductor nanocrystal. As the size of the quantum dot decreases, how does its energy band gap typically change, and what is the primary reason for this change?