INTRODUCTION TO QUANTUM INFORMATION SCIENCE

By O. FINIY

I CANONICAL QUANTIZATION 1 OVERVIEW A TASTE OF QUANTUM FIELDS 2 REMINDER: CLASSICAL AND QUANTUM MECHANICS 3 QUANTIZING A DRIVEN HARMONIC OSCILLATOR 4 FROM HARMONIC OSCILLATORS TO FIELDS 5 OVERVIEW OF CLASSICAL FIELD THEORY 6 QUANTUM FIELDS IN EXPANDING UNIVERSE 7 QUANTUM FIELDS IN DE SITTER SPACETIME 8 THE UNRUH EFFECT 9 THE HAWKING EFFECT THERMODYNAMICS OF BLACK HOLES 10 THE CASIMIR EFFECT II PATH INTEGRAL METHODS 11 PATH INTEGRAL QUANTIZATION 12 EFFECTIVE ACTION 13 FUNCTIONAL DETERMINANTS AND HEAT KERNELS 14 CALCULATION OF HEAT KERNEL 15 RESULTS FROM EFFECTIVE ACTION