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Week - 1 |
THE BASIC CONSEPTS OF QUANTUM MECHANİCS:The uncertainty principle. The principle of superposition. Operators. Addition and multiplication of operators. The continuous spectrum. The passage to the limiting case of classical mechanics. |
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Week - 2 |
KETS BRAS AND OPERATORS: Ket Space. Bra Space and ınner product. Operators. |
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Week - 3 |
BASE KETS AND MATRIX REPRESENTATION:Eigenkets of observable. Matrix representation. Spin 1/2 system |
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Week - 4 |
MEUSUREMENTS, OBSERVABLES AND THE UNCERTAINTY RELATIONS: Measurements. Compatible observables. Incompatible observables. Uncertainty Relation |
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Week - 5 |
CHANGE OF BASIS: Transformation operator. Diagonalization. Unitary Equivalent Observables. |
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Week - 6 |
POSITION; MOMENTUM AND TRANSLATION: Contınuous spectra. Position Eigenkets and Position Measurements. Translation. Momentum as a generator of translation. |
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Week - 7 |
WAVE FUNCTIONS IN POSITION AND MOMENTUM SPACE: Posıtıon space wave functoin. Momentum operator in position basis. Gaussian wave packets. Generation to Tree Dimensions |
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Week - 8 |
TIME EVOLUATION AND SCHRÖDINGER EQUATION. Time Evoluation Operator. Schrödinger equation. Energy Eigenkets. |
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Week - 9 |
THE SCHRÖDINGER VERSUS THE HEISENBERG PICTURE: Unitary Operator. State kets and observables in Schrödinger and Heisenberg pictures. The Heisenberg Equation of Motion. |
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Week - 10 |
Free particles; Ehrenfest's theorem. Base kets and transition amplitudes. |
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Week - 11 |
SIMPLE HARMONIC OSCILLATOR: Energy Eigenkets and energy eigenvalues. Time Development of Oscillator |
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Week - 12 |
ROTATIONS AND ANGULAR MOMENTUM COMMUTATION RELATIONS: Finite Versus Infınitesimal Rotations. Infinitesimal Rotations in Quantum Mechanics. |
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Week - 13 |
SPIN 1/2 SYSTEM AND FINITE ROTATIONS: Rotation Operator for Spin 1/2 |
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Week - 14 |
Pauli Two Component Formalism. Rotation in Two Component Formalism. |
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