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Time evolution of wave packets in eletromagnetism and quantum mechanics

Grant number: 16/10336-4
Support Opportunities:Scholarships in Brazil - Scientific Initiation
Effective date (Start): October 01, 2016
Effective date (End): September 30, 2017
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Principal Investigator:Gustavo Garcia Rigolin
Grantee:Diego Flórez Ablan
Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil


We intend to study the postulates and the key concepts of quantum mechanicsby investigating the time evolution of Gaussian wave packets. Firstly, we willstudy the evolution of a Gaussian wave packet whose dynamics is governed bythe wave equation derived from the Maxwell's electromagnetism. Subsequently,we will compare this time evolution with that arising from a dynamics governedby the Schrödinger equation. We want with this study highlight the fundamentaldifferences in the dynamics of wave packets introduced by quantum mechanicswhen compared to the classical dynamics.

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