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HU Credits:
3
Degree/Cycle:
2nd degree (Master)
Responsible Department:
Mathematics
Semester:
1st Semester
Teaching Languages:
Hebrew
Campus:
E. Safra
Course/Module Coordinator:
Dr. Dan Mangoubi
Coordinator Office Hours:
By appointment.
Teaching Staff:
Prof Dan Mangoubi
Course/Module description:
Classical vs. Quantum mechanics, Fourier Transform, Stationary Phase, Oscillatory Integrals, Standard Qunatization, Weyl Quantization, Calculus of Pseudo-Differential Operators, Elliptic Operators, Weyl's Asymptotic Law of eigenvalues, Quantum Ergodicity Theorem.
Course/Module aims:
Same as in learning outcomes.
Learning outcomes - On successful completion of this module, students should be able to:
Ability to prove and apply the theorems presented in the course.
Ability to apply correctly the mathematical methodology in the context of the course.
Acquiring the fundamentals as well as basic familiarity with the field which will assist in the understanding of advanced subjects.
Ability to understanding and explain the subjects taught in the course.
Attendance requirements(%):
85
Teaching arrangement and method of instruction:
Lecture
Course/Module Content:
Classical vs. Quantum mechanics, Fourier Transform, Stationary Phase, Oscillatory Integrals, Standard Qunatization, Weyl Quantization, Calculus of Pseudo-Differential Operators, Elliptic Operators, Weyl's Asymptotic Law of eigenvalues, Quantum Ergodicity Theorem.
Required Reading:
none
Additional Reading Material:
Semiclassical Analysis, by Maciej Zworski
Harmonic Analysis in Phase Spaces, Folland
Course/Module evaluation:
End of year written/oral examination 0 %
Presentation 0 %
Participation in Tutorials 30 %
Project work 0 %
Assignments 70 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %
Additional information:
none
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