Introduction to Quantum Mechanics

Abstract

The purpose of this contribution is to give a very brief introduction to Quantum Mechanics for an audience of mathematicians. I will follow Segal's approach to Quantum Mechanics paying special attention to algebraic issues. The usual representation of Quantum Mechanics on Hilbert spaces is also discussed.

To appear in the AIP Conference Proceedings of the XVI International Fall Workshop on Geometry and Physics, Lisbon - Portugal, 5-8 September 2007. 11 pages

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• Entangled Photonic-Nuclear Molecular Dynamics of LiF in Quantum Optical Cavities
• On-the-fly ab initio semiclassical evaluation of absorption spectra of polyatomic molecules beyond the Condon approximation
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• Hydrodynamic View of Wave-Packet Interference: Quantum Caves
• On-the-fly ab initio semiclassical evaluation of time-resolved electronic spectra
• Analog Quantum Simulation of the Dynamics of Open Quantum Systems with Quantum Dots and Microelectronic Circuits
• Vibrational Investigation of Nucleobases by Means of Divide and Conquer Semiclassical Dynamics
• Direct optical state preparation of the dark exciton in a quantum dot
• Dressed-state analysis of two-color excitation schemes
• Entanglement and parametric resonance in driven quantum systems
• Exploring coherence of individual excitons in InAs quantum dots embedded in natural photonic defects: influence of the excitation intensity
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• A significantly stable mode of the ultracold atomic wave packet in amplitude modulated parabolic optical lattices
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