### Quantum Mechanics II (PHYS 304)

2020 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)
English
PHYS303
Formal lecture,Interactive lecture
Interactive

### 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.

### PROGRAMME OUTCOMES

1. Understand the world, their country, their society, as well as themselves and have awareness of ethical problems, social rights, values and responsibility to the self and to others. 1

2. Understand different disciplines from natural and social sciences to mathematics and art, and develop interdisciplinary approaches in thinking and practice. 2

3. Think critically, follow innovations and developments in science and technology, demonstrate personal and organizational entrepreneurship and engage in life-long learning in various subjects. 5

4. Communicate effectively in Turkish and English by oral, written, graphical and technological means. 3

5. Take individual and team responsibility, function effectively and respectively as an individual and a member or a leader of a team; and have the skills to work effectively in multi-disciplinary teams. 3

1. Possess sufficient knowledge of mathematics, science and program-specific engineering topics; use theoretical and applied knowledge of these areas in complex engineering problems. 5

2. Identify, define, formulate and solve complex engineering problems; choose and apply suitable analysis and modeling methods for this purpose. 5

3. Develop, choose and use modern techniques and tools that are needed for analysis and solution of complex problems faced in engineering applications; possess knowledge of standards used in engineering applications; use information technologies effectively. 4

4. Ability to design a complex system, process, instrument or a product under realistic constraints and conditions, with the goal of fulfilling specified needs; apply modern design techniques for this purpose. 3

5. Design and conduct experiments, collect data, analyze and interpret the results to investigate complex engineering problems or program-specific research areas. 1

6. Knowledge of business practices such as project management, risk management and change management; awareness on innovation; knowledge of sustainable development. 1

7. Knowledge of impact of engineering solutions in a global, economic, environmental, health and societal context; knowledge of contemporary issues; awareness on legal outcomes of engineering solutions; understanding of professional and ethical responsibility. 1

1. Use mathematics (including derivative and integral calculations, probability and statistics, differential equations, linear algebra, complex variables and discrete mathematics), basic sciences, computer and programming, and electronics engineering knowledge to (a) Design and analyze complex electronic circuits, instruments, software and electronics systems with hardware/software. or (b) Design and analyze communication networks and systems, signal processing algorithms or software 4

1. Applying fundamental and advanced knowledge of natural sciences as well as engineering principles to develop and design new materials and establish the relation between internal structure and physical properties using experimental, computational and theoretical tools. 5

2. Merging the existing knowledge on physical properties, design limits and fabrication methods in materials selection for a particular application or to resolve material performance related problems. 4

3. Predicting and understanding the behavior of a material under use in a specific environment knowing the internal structure or vice versa. 3

1. Formulate and analyze problems in complex manufacturing and service systems by comprehending and applying the basic tools of industrial engineering such as modeling and optimization, stochastics, statistics. 4

2. Design and develop appropriate analytical solution strategies for problems in integrated production and service systems involving human capital, materials, information, equipment, and energy. 3

3. Implement solution strategies on a computer platform for decision-support purposes by employing effective computational and experimental tools. 2

### ASSESSMENT METHODS and CRITERIA

 Percentage (%) Final 40.5 Midterm 40.5 Participation 19