Quantum Mechanics

Go to Course: https://www.coursera.org/learn/quantum-mechanics

Introduction

### Course Review: Quantum Mechanics on Coursera --- #### Course Overview If you’re seeking to deepen your understanding of quantum mechanics, particularly through the lens of mechanical or aerospace engineering, the *Quantum Mechanics* course on Coursera is an excellent opportunity. This course serves as Course 2 of the Statistical Thermodynamics sequence, building upon the fundamental concepts of statistical methods while carving out a distinct pathway into the intriguing world of quantum physics. The course takes a structured, methodical approach to the subject matter, beginning with the derivation of the Schrodinger wave equation. It culminates in the application of modern quantum chemistry numerical methods, all designed to equip students with not only the theoretical underpinnings but also the practical skills to tackle quantum mechanical problems. --- #### In-Depth Syllabus Review 1. **Introduction to Quantum Mechanics** - The journey begins with a foundational overview suitable for students from mechanical or aerospace engineering backgrounds. The course meticulously employs a postulatory approach, allowing learners to comprehend how the Schrodinger wave equation is derived. Notably, the separation of time dependence leads to a stationary wave equation—this pivotal moment sets a strong groundwork for the lessons to come. 2. **Simple Solutions of the Wave Equation** - In the second module, the course delves into straightforward systems, solving the stationary wave equation for scenarios such as the particle in a box, the rigid rotator, the harmonic oscillator, and the hydrogenic atom. These solutions are not mere academic exercises; they are the basis for exploring realistic atomic and molecular behaviors, making the upcoming content feel relevant and applied. 3. **Real Atomic and Molecular Behavior** - The final module shifts focus towards the complexities of real atomic and molecular behaviors. This portion of the course introduces numerical methods for solving the wave equation, equipping learners with modern tools to analyze quantum systems effectively. The inclusion of practical applications ensures that students are not only ingesting theoretical knowledge but are also prepared for real-world scenarios. --- #### Recommendations - **Who Should Enroll:** This course is tailored for engineering professionals and students who wish to bridge their technical expertise with the principles of quantum mechanics. If your background includes mechanical or aerospace engineering, this course is perfect to illuminate the quantum phenomena governing the microscopic world. - **What You Will Gain:** Expect to finish the course with a robust understanding of quantum mechanics principles, enhanced problem-solving skills, and insight into numerical methods applicable in modern quantum chemistry. This knowledge is especially useful for those in research or industries focused on fields such as material science, nanotechnology, or advanced engineering applications. - **Learning Experience:** The course is designed thoughtfully, moving from foundational concepts to more advanced applications, which enhances the learning experience. It is self-paced, allowing you to digest the material at your convenience while providing an engaging mix of theory and practice. --- ### Conclusion Overall, the *Quantum Mechanics* course on Coursera stands out as an invaluable resource for engineers looking to expand their knowledge into the quantum realm. Its comprehensive treatment of the subject, coupled with clear explanations and relevant examples, makes it a highly recommendable venture. Whether you're looking to enhance your skill set or dive into research, this course will prepare you to grasp and navigate the complexities of quantum mechanics. Enroll today and embark on a journey that promises to expand your intellectual horizons and empower your professional expertise!

Syllabus

Introduction to quantum mechanics

Module 1presents an introduction to quantum mechanics at a level appropriate for those with mechanical or aerospace engineering backgrounds. Using a postulatory approach that describes the steps to follow, the Schrodinger wave equation is derived and it is showen that the time dependence can be separated and a stationary wave equation results.

In module 2 we solve the stationary wave equation for several simple systems. These include the particle in a box, the rigid rotator, the harmonic oscillator, and the hydrogenic atom. These simple solutions form the basisi for discussing real atomic and molecular behavior in the next module.

In Module 3 we explore the more realistic behavior of atoms and molecules. We also introduce and discuss numerical methods for solving the wave equation.