Akademik Dersler - İçerik

Weeks	Topics
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.
Week - 2	KETS BRAS AND OPERATORS: Ket Space. Bra Space and ınner product. Operators.
Week - 3	BASE KETS AND MATRIX REPRESENTATION:Eigenkets of observable. Matrix representation. Spin 1/2 system
Week - 4	MEUSUREMENTS, OBSERVABLES AND THE UNCERTAINTY RELATIONS: Measurements. Compatible observables. Incompatible observables. Uncertainty Relation
Week - 5	CHANGE OF BASIS: Transformation operator. Diagonalization. Unitary Equivalent Observables.
Week - 6	POSITION; MOMENTUM AND TRANSLATION: Contınuous spectra. Position Eigenkets and Position Measurements. Translation. Momentum as a generator of translation.
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
Week - 8	TIME EVOLUATION AND SCHRÖDINGER EQUATION. Time Evoluation Operator. Schrödinger equation. Energy Eigenkets.
Week - 9	THE SCHRÖDINGER VERSUS THE HEISENBERG PICTURE: Unitary Operator. State kets and observables in Schrödinger and Heisenberg pictures. The Heisenberg Equation of Motion.
Week - 10	Free particles; Ehrenfest's theorem. Base kets and transition amplitudes.
Week - 11	SIMPLE HARMONIC OSCILLATOR: Energy Eigenkets and energy eigenvalues. Time Development of Oscillator
Week - 12	ROTATIONS AND ANGULAR MOMENTUM COMMUTATION RELATIONS: Finite Versus Infınitesimal Rotations. Infinitesimal Rotations in Quantum Mechanics.
Week - 13	SPIN 1/2 SYSTEM AND FINITE ROTATIONS: Rotation Operator for Spin 1/2
Week - 14	Pauli Two Component Formalism. Rotation in Two Component Formalism.