This course can also be taken for academic credit as ECEA 5610, part of CU Boulder’s Master of Science in Electrical Engineering degree.
Quantum Mechanics for Engineers 專項課程科罗拉多大学波德分校課程信息
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第 1 門課程（共 3 門）
中級
Undergraduate-level calculus, differential equations and linear algebra
完成時間大約為26 小時
英語（English）
字幕：英語（English）
您將學到的內容有
Understand the quantum mechanical meaning of wave-particle duality
Calculate probabilities and expectation values for physical observables
Use both Schrödinger and Heisenberg picture to solve for time evolution of quantum states
Describe fermions and bosons using multiparticle basis functions.
您將獲得的技能
- Differential Equations
- Quantum Measurement
- Linear Algebra
可靈活調整截止日期
根據您的日程表重置截止日期。
可分享的證書
完成後獲得證書
100% 在線
立即開始，按照自己的計劃學習。
第 1 門課程（共 3 門）
中級
Undergraduate-level calculus, differential equations and linear algebra
完成時間大約為26 小時
英語（English）
字幕：英語（English）
提供方
科罗拉多大学波德分校
CU-Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies.
立即開始攻讀碩士學位
此 課程 隸屬於 科罗拉多大学波德分校 提供的 100% 在線 Master of Science in Electrical Engineering。
如果您被錄取參加全部課程，您的課程將計入您的學位學習進程。
授課大綱 - 您將從這門課程中學到什麼
完成時間為 3 小時
Wave-particle Duality and Schrödinger Equation
In this module we will introduce the course and the Quantum Mechanics for Engineers specialization. In addition, we will discuss wave-particle duality, time-independent Schrödinger equation. one-dimensional infinite potential well problem, properties of eigensolutions and Hilbert space.
完成時間為 3 小時
6 個視頻 （總計 63 分鐘）, 4 個閱讀材料, 1 個測驗
完成時間為 3 小時
One-dimensional Potential Problems
In this module, we will solve several one-dimensional potential problems. They include finite potential well, harmonic oscillator, potential step and potential barrier. We will discuss the physical meaning of the solutions and highlight any non-classical behaviors these problems exhibit.
完成時間為 3 小時
4 個視頻 （總計 57 分鐘）, 3 個閱讀材料, 1 個測驗
完成時間為 5 小時
Operators and Measurements 1
This module covers the theory of measurements in quantum mechanics. We start our discussion by introducing Stern-Gerlach experiment and the difficulty in interpreting the results classically. We then develop mathematical tools required to properly describe the results and then apply them to the interpretation of Stern-Gerlach experiments.
完成時間為 5 小時
5 個視頻 （總計 70 分鐘）, 3 個閱讀材料, 2 個測驗
完成時間為 5 小時
Operators and Measurements 2
In this module we expand upon the discussion from the previous module and introduces Hamiltonian, position and momentum operators and the uncertainty principle that governs the relationship between the operators. We also discuss the general principle of change of basis and the specific example of position and momentum representations.
完成時間為 5 小時
4 個視頻 （總計 50 分鐘）, 3 個閱讀材料, 2 個測驗
關於 Quantum Mechanics for Engineers 專項課程
This Specialization is intended for engineers seeking to acquire fundamental understanding of quantum mechanics which are the basis of modern electrical, mechanical and quantum engineering. Through 3 courses, you will learn (1) basic concepts such as superposition and entanglement of quantum states, measurement in quantum mechanics and uncertainty principle, (2) mathematical tools needed to describe and manipulate quantum states, (3) advanced theory of angular momentum and (4) approximation methods widely applicable in many fields.
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