2026

Quantum Physics

Core Quantum Mechanics Questions

A set of five objective questions on fundamental quantum mechanical concepts.

#quantum theory#physics quiz#operators#wavefunction#measurement

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Total Questions

5

Difficulty Level

medium

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0/0

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Quiz Questions

Answer all questions below and test your knowledge.

1
A quantum system is described by a normalized wavefunction Psi(x). The expectation value of an observable represented by the Hermitian operator O is computed as:
Question 1
2
In the context of a spin-1/2 system, the Pauli matrices sigma_x, sigma_y, sigma_z satisfy specific commutation relations. Which of the following relations is correct?
Question 2
3
The time evolution of a quantum state in the Schrödinger picture, if the Hamiltonian H is time-independent, is given by:
Question 3
4
The Heisenberg uncertainty principle for position x and momentum p is strictly expressed as:
Question 4
5
A particle is in a superposition of two energy eigenstates, |psi> = a|E1> + b|E2>, with |a|^2 + |b|^2 = 1. A measurement of energy is made. What is the probability of obtaining the result E1?
Question 5

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Core Quantum Mechanics Questions

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Quiz Questions

A quantum system is described by a normalized wavefunction Psi(x). The expectation value of an observable represented by the Hermitian operator O is computed as:

In the context of a spin-1/2 system, the Pauli matrices sigma_x, sigma_y, sigma_z satisfy specific commutation relations. Which of the following relations is correct?

The time evolution of a quantum state in the Schrödinger picture, if the Hamiltonian H is time-independent, is given by:

The Heisenberg uncertainty principle for position x and momentum p is strictly expressed as:

A particle is in a superposition of two energy eigenstates, |psi> = a|E1> + b|E2>, with |a|^2 + |b|^2 = 1. A measurement of energy is made. What is the probability of obtaining the result E1?