Is the 量子力学专业级 certificate verifiable?

Yes. Every issued Hootix Academy certificate carries a unique credential code that anyone can verify online.

How is the 量子力学专业级 exam structured?

It is a 150-minute proctored multiple-choice exam of 95 questions; you need 75% to pass.

Do I need to buy the course to take the exam?

You can purchase the certification exam on its own, or bundle it with the full study course at a reduced price.

How long does the 量子力学专业级 course take?

About 38 hours of self-paced study.

量子力学专业级 Certification

从黑体辐射到量子纠缠——关于微观世界的理论，严格而可计算

Key facts

Level: Professional
Field: Physics
Estimated study time: about 38 hours
Credential price: $149
Exam: 95 questions · 150 minutes · pass mark 75%

About the 量子力学专业级 certification

一项专业级认证，将量子力学从其实验起源构建为一套可运作的数学理论。您将从物理学的突破点出发：黑体辐射、光电效应、康普顿散射、原子光谱和玻尔模型——正是这些实验迫使能量和物质实现量子化。在此基础上，您将发展波粒二象性与德布罗意关系、海森堡不确定性原理，以及该理论的核心对象：波函数 ψ、玻恩概率诠释与归一化。您将掌握含时和定态两种形式的薛定谔方程，以及算符形式——可观测量作为厄米算符、本征值、期望值与对易子。您将手工求解经典束缚系统：无限深势阱与量子阱、带有升降算符和零点能的量子谐振子，以及势阶与势垒（在此将量化量子隧穿效应）。原子章节涵盖氢原子——主量子数、轨道量子数、磁量子数和自旋量子数、轨道函数与能级——继而是角动量与自旋（泡利矩阵、施特恩-格拉赫实验）、泡利不相容原理与全同粒子。您还将学习含时微扰理论、测量问题（叠加态与波函数坍缩）、量子纠缠与贝尔定理简介，以及量子态希尔伯特空间图像的狄拉克左矢-右矢符号，最后简要概述各主要诠释。每个概念均有图示，每个关系均以纯文本符号表述，例题配有真实数值与单位。这是经典力学通向现代物理、原子物理和量子信息物理的自然进阶。

What you will learn

The official 量子力学专业级 study course covers:

The Quantum Revolution: How Classical Physics Broke — Blackbody radiation, the photoelectric effect, Compton scattering, atomic spectra, and the Bohr model - the experiments that forced energy and matter…
Matter Waves and the Uncertainty Principle — Wave-particle duality, the de Broglie wavelength, the double-slit experiment with single particles, and Heisenberg's uncertainty principle.
The Wavefunction and the Schrodinger Equation — The wavefunction psi, the Born probability interpretation and normalisation, and the Schrodinger equation in its time-dependent and time-independent…
Solving Quantum Systems: Boxes, Oscillators, and Tunnelling — The particle in a box and quantum wells, the quantum harmonic oscillator, and the potential barrier with quantum tunnelling.
The Atom: Quantum Numbers, Angular Momentum, and Spin — The hydrogen atom and its quantum numbers and orbitals, orbital and spin angular momentum (Pauli matrices, Stern-Gerlach), and the Pauli exclusion pr…
Measurement, Entanglement, and the Quantum Formalism — Superposition, measurement and wavefunction collapse, quantum entanglement and Bell's theorem, Dirac bra-ket notation and Hilbert space, a glimpse of…
动手实验——求解量子系统 — Google Colab 中的量子力学顶点项目：了解量子化、德布罗意波长和不确定性原理，推导粒子在盒中的能级，数值求解薛定谔方程，并探索隧穿和测量。纯 Python，免费运行。

Prerequisites

经典力学专业级

Frequently asked questions

Is the 量子力学专业级 certificate verifiable?: Yes. Every issued Hootix Academy certificate carries a unique credential code that anyone can verify online.
How is the 量子力学专业级 exam structured?: It is a 150-minute proctored multiple-choice exam of 95 questions; you need 75% to pass.
Do I need to buy the course to take the exam?: You can purchase the certification exam on its own, or bundle it with the full study course at a reduced price.
How long does the 量子力学专业级 course take?: About 38 hours of self-paced study.