[{"command":"insert","method":null,"selector":".course-modal-ajax-placeholder-952480","data":"\u003Cdiv class=\u0022container content-rte\u0022\u003E\n  \u003Cdiv class=\u0022row\u0022\u003E\n    \u003Cdiv class=\u0022box col-md-6 bg-primary text-white\u0022\u003E\n      \u003Ch2 class=\u0022h1 text-left\u0022\u003E  Notions de M\u00e9canique Quantique\n\u003C\/h2\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EECTS :\n          3\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n                  \u003Cdiv class=\u0022field-spacing\u0022\u003E\n        \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ESemestre calendaire :\n          Semestre 1\n        \u003C\/div\u003E\n      \u003C\/div\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ED\u00e9tail du volume horaire\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ECours magistraux :\u003C\/span\u003E\n                                      \u003Cspan\u003E17.5\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                              \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                          \u003Cspan class=\u0022field__label h4 mt-5 \u0022\u003ETravaux dirig\u00e9s :\u003C\/span\u003E\n                                      \u003Cspan\u003E12.5\u003C\/span\u003E\n                      \u003C\/div\u003E\n                                                            \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ELangue d\u0026#039;enseignement\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EAnglais\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EEnseignement \u00e0 distance\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003Enon\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n    \u003Cdiv class=\u0022box col-md-6\u0022\u003E\n            \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EPr\u00e9requis\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EGood knowledge of:\u003Cbr\u003E\n\u2022 Classical mechanics (forces, kinetic and potential energy, classical particle motion, rotations\u2026)\u003Cbr\u003E\n\u2022 Oscillation and waves (harmonic oscillator wave propagation, interference, diffraction\u2026)\u003Cbr\u003E\n\u2022 Linear algebra and calculus\u003Cbr\u003E\n\u2022 Basic knowledge of electromagnetism: electric and magnetic fields\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EProgramme \/ plan \/ contenus\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EProgramme d\u00e9taill\u00e9 \/ Course program\u003C\/p\u003E\n\u003Cp\u003E1. Classical physics shortcomings and the birth of quantum mechanics\u003C\/p\u003E\n\u003Cp\u003E2. Foundation of quantum mechanics\u003C\/p\u003E\n\u003Cp\u003Ea. Linear algebra and operators\u003C\/p\u003E\n\u003Cp\u003Eb. Shr\u00f6dinger equation\u003C\/p\u003E\n\u003Cp\u003E3. One dimensional piece-wise constant potentials\u003C\/p\u003E\n\u003Cp\u003Ea. Square well potential and discrete energy spectrum\u003C\/p\u003E\n\u003Cp\u003Eb. Potential step and potential barrier: the tunnel effect\u003C\/p\u003E\n\u003Cp\u003E4. Quantum Harmonic oscillator\u003C\/p\u003E\n\u003Cp\u003E5. Spin and the two level systems\u003C\/p\u003E\n\u003Cp\u003E6. Special relativity : a brief introduction\u003C\/p\u003E\n\u003Cp\u003E7. Quantum entanglement and quantum cryptography , an introduction\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EObjectifs d\u0026#039;apprentissage\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003EThis is a medium level course covering non-relativistic quantum physics. The course starts by a brief review of classical physics and some of its shortcomings, which have led to the invention of quantum mechanics. The basics concepts of quantum mechanics and some of its computational methods, are then presented. Upon completion, the students should acquire understanding of the fundamental concepts of quantum mechanics, such as the wave function, Heisenberg uncertainty principle, transition probabilities \u2026 They will also be able to solve the Shr\u00f6dinger equation in simple cases and use it to predict system temporal evolution. The course covers the Dirac notation and the quantum mechanics formalism, involving operators and the Hilbert space of states. The Shr\u00f6dinger equation for square wells, and potential steps is presented and solved, and helps illustrate quantum behaviour such as discrete energy spectrum and the tunnel effect. The Harmonic Oscillator (HO) potential is introduced and the corresponding Shr\u00f6dinger equation is solved through the analytic method. The ladder operators are also introduced and used to solve the HO using operator algebra. The course includes also the presentation of the spin, which corresponds to an internal degree of freedom for particles such as electrons. The formalism with Pauli matrices and two dimensional spin Hilber space is introduced and the behaviour of spin \u00bd particles, such as electrons is discussed. The course includes a short introduction to special relativity. The final part of the course corresponds to an opening toward the more advanced topic of quantum computing. The quantum entanglement and its application to quantum cryptography is discussed in this final part.\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EOrganisation g\u00e9n\u00e9rale et modalit\u00e9s p\u00e9dagogiques\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E10 lectures, 10 x 1h30 (total 15 hours) . 10 Tutorial sessions 10x 1h30\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n                        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003EBibliographie\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003E\u003Cp\u003E\u2022 M\u00e9canique Quantique, Marchildon, DeBoeck Universit\u00e9\u003C\/p\u003E\n\u003Cp\u003E\u2022 Quantum Physics, Stephen Gasiorowicz, John Wiley \u0026amp; Sons, 2nd ed.\u003C\/p\u003E\n\u003Cp\u003E\u2022 Quantum Mechanics, an introduction, Walter Greiner, Springer (3rd ed.)\u003C\/p\u003E\n\u003Cp\u003E\u2022 Getting started in Quantum Optics, Ray Lapierre, Springer 2022\u003C\/p\u003E\n\u003Cp\u003E\u2022 Quantum computing for the quantum curious , Ciaran Hughes , Joshua Isaacson , Anastasia Perry , Ranbel F. Sun , Jessica Turner, Springer 2021\u003C\/p\u003E\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n        \u003Cdiv class=\u0022field-spacing\u0022\u003E\n      \u003Cdiv class=\u0022field__label h3 dash\u0022\u003ENature de l\u0026#039;\u00e9valuation\u003C\/div\u003E\n                        \u003Cdiv class=\u0022mt-5 text-justify\u0022\u003E\n                                      \u003Cspan\u003EEvaluation Continue non Int\u00e9grale\u003C\/span\u003E\n                      \u003C\/div\u003E\n                  \u003C\/div\u003E\n      \u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n","settings":null}]