- \n
- Classical electromagnetism before quantum electrodynamics: Maxwell’s equations in Fourier space, transverse and longitudinal modes, energy and momentum, gauges choices: Coulomb and radiation.<\/li>\n
- Schr\u00f6dinger’s equation in the presence of a classical electromagnetic field, perturbation theory and Fermi’s Golden Rule, excitation rates.<\/li>\n
- The Fock space of the quantum electromagnetic field, photons, the interaction Hamiltonian between matter and the electromagnetic field.<\/li>\n
- Some properties of the quantum electromagnetic field: energy, momentum and angular momentum; vacuum fluctuations and the Casimir effect.<\/li>\n
- Some remarkable states of the quantum electromagnetic field: coherent states and squeezed states, classical limit of quantum electromagnetism.<\/li>\n
- The interaction between photons and matter: absorption and emission of a single photon by an atom, spontaneous emission, laser, the Weisskopf-Wigner model.<\/li>\n
- If time allows: entangled photons and the violation of Bell’s inequalities.<\/li>\n<\/ol>\n
[\/vc_column_text][\/vc_column][vc_column width=”1\/3″][vc_column_text]
![\"\"](\"https:\/\/physics-complex-systems.fr\/wp-content\/uploads\/2017\/06\/chambre-a-bulles-elec-pos-300x144.jpg\")
\nProduction of two electron-positron pairs. In this photo from the 15-foot bubble chamber at Fermilab, USA, gamma-ray photons turn into electron-positron pairs, matter & antimatter.<\/small>[\/vc_column_text][\/vc_column][\/vc_row][vc_row css=”.vc_custom_1496825716859{margin-top: 20px !important;}”][vc_column][vc_column_text]<\/p>\n\nKey Words: <\/strong><\/span><\/h5>\n
Quantum electromagnetism, photons, interaction between matter and light, spontaneous emission, classical and quantum states of light.<\/p>\n
Bibliography:<\/strong><\/h5>\n
- \n
- Rayonnement quantique<\/em>, Alain Laverne, available in French on: https:\/\/cel.archives-ouvertes.fr\/cel-00092934<\/a><\/span><\/span><\/li>\n
- Photons – Optique quantique<\/em>, Majeure de Physique de l’Ecole Polytechnique, A. Aspect, P. Grangier, G. Grynberg (in French)<\/li>\n
- Introduction to Quantum Optics<\/em>, G. Grynberg, A. Aspect, C. Fabre, Cambridge University Press<\/li>\n
- Free online lectures by A. Aspect (in english): https:\/\/www.polytechnique.edu\/elearning\/fr\/alain-aspect<\/a><\/span><\/span><\/li>\n<\/ul>\n
<\/p>\n
<\/p>\n
![\"\"](\"https:\/\/physics-complex-systems.fr\/wp-content\/uploads\/2017\/06\/bertrand_delamotte2.png\")
Bertrand Delamotte<\/strong>
\n(Sorbonne Universit\u00e9)<\/p>\n<\/div>\n[\/vc_column_text][\/vc_column][\/vc_row][vc_row][\/vc_row][vc_section][\/vc_section]<\/p>\n","protected":false},"excerpt":{"rendered":"
[vc_row][vc_column css=”.vc_custom_1496399944725{margin-top: -40px !important;margin-bottom: -20px !important;}”][vc_separator][\/vc_column][\/vc_row][vc_row equal_height=”yes” content_placement=”top”][vc_column width=”2\/3″][vc_column_text] Outline: Classical electromagnetism before quantum electrodynamics: Maxwell’s equations in Fourier space, transverse and longitudinal modes, energy…<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[36,11,10],"tags":[74,72,71,75,70,73],"translation":{"provider":"WPGlobus","version":"2.12.2","language":"en","enabled_languages":["fr","en"],"languages":{"fr":{"title":true,"content":true,"excerpt":false},"en":{"title":false,"content":false,"excerpt":false}}},"_links":{"self":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1097"}],"collection":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/comments?post=1097"}],"version-history":[{"count":22,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1097\/revisions"}],"predecessor-version":[{"id":5060,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/posts\/1097\/revisions\/5060"}],"wp:attachment":[{"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/media?parent=1097"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/categories?post=1097"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physics-complex-systems.fr\/en\/wp-json\/wp\/v2\/tags?post=1097"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
- Photons – Optique quantique<\/em>, Majeure de Physique de l’Ecole Polytechnique, A. Aspect, P. Grangier, G. Grynberg (in French)<\/li>\n
- Rayonnement quantique<\/em>, Alain Laverne, available in French on: https:\/\/cel.archives-ouvertes.fr\/cel-00092934<\/a><\/span><\/span><\/li>\n