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The course is intended primarily for PhD students who have not studied quantum theory at MFF, have an experimental
PhD thesis focused on molecules or nanotechnology and quantum theory is not essential part of their work.
For theoretically oriented students (e.g. who perform quantum chemistry calculations) this lecture does not replace
more thorough lectures on quantum theory, quantum chemistry etc. but is the simplest introduction to them.
Some exercises and parts of the lecture could be tailored according to interest of students or topic of their PhD thesis.
Last update: Kapsa Vojtěch, RNDr., CSc. (17.05.2019)
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Aim is to give students an overview of quantum theory of atoms, molecules and their spectroscopy, including necessary mathematics. Emphasis is placed on understanding the main ideas rather than technical details of the calculations. After finishing this course students should be able to understand quantum mechanical aspects of papers in their field. Last update: Kapsa Vojtěch, RNDr., CSc. (03.05.2019)
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Obtaining excercises credits is necessary prerequisite for signing up for the exam. Credits are awarded for active participation in exercises and solving homework. The exam is oral. The requirements correspond to the syllabus of the course to the extent that was presented at the lecture. Last update: Kapsa Vojtěch, RNDr., CSc. (15.05.2019)
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Ashcroft N.W., Mermin N.D.: Solid state physics. Brooks/Cole, New York 1976.
Atkins P.W., de Paula J., Keeler J.: Atkin’s physical chemistry. 10th Edition. Oxford University Press, Oxford 2018.
Basdevant J-L.: Lectures on quantum mechanics with problems, exercises and their solution. Springer International Publishing Switzerland 2007, 2016.
Ballentine L.E.: Quantum mechanics A modern development. World Scientific, Singapore 1998.
Brandt S., Dahmen H. D.: The Picture Book of Quantum Mechanics. Springer Science+Business Media, New York 2012.
Demtröder W.: Atoms, Molecules and Photons. 2nd Edition. Springer, Heidelberg. Dordrecht, London, New York 2010.
Griffiths, D. J.: Introduction to Quantum Mechanics. 2nd Edition. Prentice Hall, Upper Saddle River 2005.
Isham Ch.J.: Lectures on Quantum Theory : Mathematical and Structural Foundations. Imperial College Press, London 1997.
Piela L.: Ideas of quantum chemistry, 2nd edition. Elsevier, Waltham 2014.
Styer D.F.: The Strange World of Quantum Mechanics, Cambridge University Press, Cambridge, 2000.
Zamastil J., Benda J.: Quantum mechanics and electrodynamics. Springer International Publishing AG, 2017.
Last update: Kapsa Vojtěch, RNDr., CSc. (17.05.2019)
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Integrated teaching - lectures and exercises overlap. Last update: Kapsa Vojtěch, RNDr., CSc. (06.05.2019)
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1. Mathematical introduction
2. Axioms of quantum theory, measurement of quantum systems.
3. Simple systems: potential well, barrier, tunneling effect.
4. Linear harmonic oscillator (LHO), entangled LHO and its application in IR spectroscopy.
5. Rigid rotor.
6. Angular momentum, spin.
7. Multiparticle systems, single particle approach.
8. Approximate methods, probability of transition induced by external perturbation and creation of spectral line.
9. Hydrogen atom and its spectrum, multi electron atoms.
10. Chemical bonding, Born-Oppenheimer approximation, outline of basic equations of quantum chemistry.
11. Periodical potential, band structure of solids.
Last update: Kapsa Vojtěch, RNDr., CSc. (03.05.2019)
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