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Frank Schroer
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What are some resources that you would suggest for a first course in graduate quantum mechanics? This includes textbooks, online courses such as MIT OCW(includes homework/exams), and online lecture notes?
A first course in graduate quantum mechanics is designed to introduce students to the fundamental concepts and mathematical tools necessary for understanding the behavior of particles at the quantum level. It also provides a foundation for further study and research in the field of quantum mechanics.
Some commonly recommended resources for a first course in graduate quantum mechanics include textbooks such as "Introduction to Quantum Mechanics" by David J. Griffiths and "Quantum Mechanics: Concepts and Applications" by Nouredine Zettili. Online resources, such as lecture notes and video lectures, from reputable universities are also helpful for supplementing learning.
A strong foundation in linear algebra, calculus, and differential equations is necessary for understanding the mathematical concepts and equations used in quantum mechanics. Some familiarity with complex numbers and vector calculus is also helpful.
Topics covered in a first course in graduate quantum mechanics may include wave-particle duality, the Schrödinger equation, quantum operators, the uncertainty principle, and quantum harmonic oscillators. Other topics may include quantum measurement, quantum entanglement, and the quantum description of simple systems.
Quantum mechanics has a wide range of applications, including in the fields of physics, chemistry, engineering, and computer science. Some specific applications include quantum computing, quantum cryptography, and the development of new materials and technologies based on quantum principles.