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Week
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Topics
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Teaching and Learning Methods and Techniques
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Study Materials
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1. Week
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Mathematical principles: Abelian groups, Hilbert space, scalar product, Fourier series and integrals, algebraic operations in Hilbert space.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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2. Week
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Linear operators: Matrices and differential operators.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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3. Week
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Vector analysis: Coordinate systems, vector algebra, operator algebra, Laplace operator.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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4. Week
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Eigenvalue equation: Eigenvalue, eigenfunction
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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5. Week
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Classical mechanics: Newton, Lagrange and Hamilton equations.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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6. Week
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Electromagnetism: Maxwell equations, conservation of electric charge.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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7. Week
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Particle waves: De Broglie partical-wave duality and de Broglie wave functions.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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8. Week
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Postulates: Time-independent wave function, time-independent Schrödinger wave equation, orthonormality of wave functions, construction of quantum mechanical operators, Hamilton’s operator, commutative and non-commutative operators, Heisenberg uncertainty principle.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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9. Week
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Postulates: Time-independent wave function, time-independent Schrödinger wave equation, orthonormality of wave functions, construction of quantum mechanical operators, Hamilton’s operator, commutative and non-commutative operators, Heisenberg uncertainty principle.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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10. Week
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The wave mechanics of some simple systems: The free particle, the particle in a box, the tunneling effect, the potential step, potential trough, harmonic osilator, rijid rotor, the one-electron atoms.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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11. Week
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The wave mechanics of some simple systems: The free particle, the particle in a box, the tunneling effect, the potential step, potential trough, harmonic osilator, rijid rotor, the one-electron atoms.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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12. Week
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The wave mechanics of some simple systems: The free particle, the particle in a box, the tunneling effect, the potential step, potential trough, harmonic osilator, rijid rotor, the one-electron atoms.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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13. Week
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Angular momentum in quantum mechanics: Orbital angular momentum, spin angular momentum, orbital angular momentum operators in spherical polar coordinates, eigenvalues and eigenfunctions of angular momentum operators, spin angular momentum operators and their eigenvalues and eigenfunctions, commutation relations.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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14. Week
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Angular momentum in quantum mechanics: Orbital angular momentum, spin angular momentum, orbital angular momentum operators in spherical polar coordinates, eigenvalues and eigenfunctions of angular momentum operators, spin angular momentum operators and their eigenvalues and eigenfunctions, commutation relations.
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Lecture; Question Answer; Discussion
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Presentation (Including Preparation Time)
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