Quantum Mechanics II (PHYS 304)

2021 Spring
Faculty of Engineering and Natural Sciences
Physics(PHYS)
3
6.00 / 6.00 ECTS (for students admitted in the 2013-14 Academic Year or following years)
İnanç Adagideli adagideli@sabanciuniv.edu,
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English
Undergraduate
PHYS303
Formal lecture,Interactive lecture
Interactive
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CONTENT

Three dimensional problems. Rotational symmetry, angular momentum, and the angular momentum eigenstates (the quantum numbers l, m). The Hydrogen atom. Atomic and molecular structure and spectra. The matrix formulation of quantum mechanics. Time independent and time dependent perturbation theory. The interaction of radiation with matter. Quantum statistics: bosons- the basic principle of the laser and of superconductivity- superfluidity. Fermions: the Pauli Principle. Scattering. Fundamentals of quantum mechanics and introduction to the concept of quantum computation.

OBJECTIVE

To learn the approximation methods commonly used in QM; to learn the applications of QM to fundamental problems.

LEARNING OUTCOME

Upon completion of this course, students will be able:
Solve the Schrödinger equation in two or three dimensions approximately for a range of more realistic problems (such as the Hydrogen atom in weak electromagnetic field) where the system is perturbed weakly.

Use these solutions to predict outcomes of measurements done on more realistic quantum systems. (by calculating e.g. transition rates.)
Calculate expectation values and probabilities for simple observables
Solve the relativistic Dirac equation for a range of selected problems
Describe how a general initial state will evolve with time under various perturbations,
Calculate how a simple initial state will evolve with time under specific perturbations.

ASSESSMENT METHODS and CRITERIA

  Percentage (%)
Final 40.5
Midterm 40.5
Participation 19

RECOMENDED or REQUIRED READINGS

Textbook

Introduction to Quantum Mechanics by David Griffiths