Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
APPLIED QUANTUM MECHANICS 800800805570 3 + 0 3.0 10.0

Prerequisites None

Language of Instruction Turkish
Course Level Graduate Degree
Course Type Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals To present the latest applications of quantum mechanics from the engineering world and technology.
Course Content Quantum mechanics of neutrino oscillations, atomic clocks, neutron interferometers, spectroscopic measurements on a neutron beam, analysis of Sten-Gerlach experiment, measurement of electron magnetic moment anomaly, hydogen atom in crossed fields, EPR problem and Bell's inequalities, Schrödinger's cat problem, quantum cryptography, ideal quantum measurement, quantum eraser
Learning Outcomes 1) Student forsees the new applications in collaboration with other engineering disciplines.
2) Sudent has a wide view on the advanced technological applications of quantum mechanics
3) Student can make a theoretical design of at least one of these advanced applications

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Neutrinos, their weak interactions with matter, flavor and mass eigenstates, neutrino mixing and PMNS mixing matrix, derivation of oscillation probability in two flavor case Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
2. Week Neutrino oscillations in there flavor case, analysis of SK and SNO Collaboratons, determination of the parameteres of neutrino physics from the data, latest developments in neutrono oscillation physics. Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
3. Week Hyperfine splitting of Cesium-133 ground state, fountain atomic clock, drift of fundamental constants, latest developments Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
4. Week Neutron interferometers, gravitational effects, 360 degree rotation of a spin 1/2 system Lecture; Question Answer; Discussion
Colloquium
Problem Based Learning
Homework Presentation (Including Preparation Time) Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
5. Week Anaylsis of the Stern Gerlach experiment, preparation of the neutron beam, spin quantum states of neutron, interpretation of the results and discussion on the latest developments Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
6. Week Anomalous magnetic moment of the electron, its physical basis, spin and momentum precession of the electron in an external magnetic field, comparison of the experimental data and theoretical results, discussion of the recent results and new physics effects Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
7. Week Electron in crossed electric and magnetic fields, Pauli's results, its experimental test and discussion Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
8. Week EPR problem and Bell inequalities, elctron spin, quantum correlations for two spins, correlations in singlet state Lecture; Question Answer; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
9. Week Hidden variable theories, their predictions, results of the Aspect experiments, comparison with the quantum emchanical predictions, latest results. Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
10. Week Schrödinger's cat problem, quasi classical states for an harmonic oscillator, construction of the Schrödinger-cat states Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
11. Week Comparison of the quantum superposition and statistical mixtures, fragility of quantum superposition, discussion of the latest results and developments. Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
12. Week Quantum mechanical basis of cryptography, correlated spin pairs, algorithm for a simple quantum cryptography Lecture; Question Answer; Problem Solving; Discussion
Colloquium
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
13. Week What is an ideal measurement, von Neumann detector, phase states of quantum oscillator, interaction between the system and detector, "ideal" measurement Lecture; Question Answer; Problem Solving
Debate
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)
14. Week Magnetic resonance, Ramsey fringes, detection of neutron spin state, working principle of a quantum eraser Question Answer; Problem Solving; Discussion
Large Group Discussion
Problem Based Learning
Homework Report (Including Preparation and presentation Time) Activity (Web Search, Library Work, Trip, Observation, Interview etc.)

Sources Used in This Course
Recommended Sources
1) The Quantum Mechanics Solver : How to apply the quantum theory to modern physics, J.L.Basdevant and J.Dalibard (2005) Springer 2) Quantum Mechanics : Advanved topics, S.Rajasekar and R.Velusamy (2015) CRC Press

ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 3
Work Hour outside Classroom (Preparation, strengthening) 14 4
Homework 10 5
Report (Including Preparation and presentation Time) 10 4
Activity (Web Search, Library Work, Trip, Observation, Interview etc.) 14 4
Midterm Exam 2 2
Time to prepare for Midterm Exam 2 10
Time to prepare for Final Exam 1 8
1 2
1 2
10 3
1 2
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
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Course Information