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Atomic Physics and Elements of Quantum Theory Course developer Credentials Volume (number of academic contact-hours per semester) Total hours Assessment Course prerequisites Course group (required, compulsory choice or free choice) Course Objectives Results Juris Roberts Kalniņš 2 (3 ECTS) 32 (26 – lectures. 6 - Labs) Exam Mathematical analysis required To give understanding on atom physics and principles of quantum theory, based on Schroedinger equation. Connection between a wide range of experiments and theory are underlined. At the end of the course the student should be able to: understand the basic principles and concepts of quantum phenomena understand hydrogen atom and atomic phenomena understand Schrodinger equation and simples solutions of it know the main applications of atomic theory Course abstract The course “Atomic physics and elements of quantum theory” is developed for Electronics undergraduate students. The course introduces student into the world of atom physics and quantum phenomena. The specific subjects covered are Bohr’s atom model, hydrogen atom, Schrodinger equation, wavelike properties of particles, electron spin. X-ray analysis, Atomic – force microscope and Spectral analysis are considered in Labs. Course program Lectures 1. Origin of atomic and quantum physics. -1 Spectrum of atomic hydrogen. Rydberg’s formula. Black body radiation. Plank’s formula. Photoelectric effect. Compton Effect. 2. Bohr’s model of the atom. -1 Thompson and Rutherford model. Atomic spectra. The stability of atom. Bohr’s postulate. Bohr’s model. 3. Wavelike properties of particles. -2 De Broglie concept of matter waves. Wave packet and its group and phase velocity. Feynman’s double silt experiment. Uncertainty principle. Radius of Bohr orbit 4. Schrodinger equation. -3 Wave equation. “Derivation” of Shrodinger equation. Physical interpretation of wave function. The simplest solutions of one dimensional Shrodinger equation. Free particle. Particle in a box. Particle in a finite well. Potential step: reflection and transmission. Quantum tunneling. Linear oscillator. 5. Operators in quantum mechanics. -3 Basic postulates of quantum mechanics. Shrodinger equation as eigenvalue equation. Linear operators. Correspondence principles. Measurement. Hermitan operators and eigenvalue. Commutation relation. The time dependent Schrodinger equation. 6. Hydrogen atom. -2 Particle in a central potential. Angular momentum. Energy levels and shape of wave functions. EM spectrum. 7. Electron spin. -1 Electron spin. Stern Gerlach experiment. Pauli exclusion principle. Zeeman effect. Periodic system of elements. 8. Applications. - 3 (Labs) X-ray analysis. Atomic force microscope. Spectral analysis. Requirements for obtaining credit points Problem solving and Labs 30% Exam - 70% Suggested titles compulsory reading: 1. David A.B. Miller, “Quantum mechanics for Scientists and Further reading Suggested periodicals and internet resources Engineers”, Cambridge University Press, 2008. 1. H.Haken, H.C. Wolf, „The Physics of Atoms and Quanta”, Springer Berlin Heidelberg, 2005. 2. Stephen Gasiorowicz, „Quantum Physics”, Wiley; 3 edition (April 17, 2003). 1.Visual Quantum Mechanics, Kansas State University, http://phys.educ.ksu.edu/ http://web.phys.ksu.edu/vqm/software/ 2. Quantum Mechanics I, http://walet.phy.umist.ac.uk/QM/LectureNotes/ 3.Tigran Tchakrian, „Quantum mechanics I”, http://www.thphys.nuim.ie/Notes/fourthyear-mp461mp464/mp462.pdf 4. Java applets http://www.falstad.com/qm1d/