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A Journey Around the Different Scales Involved in the Description of Matter and Complex SystemsThe Schrödinger Equation

A Journey Around the Different Scales Involved in the Description of Matter and Complex Systems:... [The finest scale in the matter description consists of the one of quantum mechanics. In this chapter we revisit some valuable concepts of quantum mechanics, and more particularly the Schrödinger equation governing the time evolution of the so-called wavefunction, from which expectations can be easily derived. Another important output is the interatomic potentials responsible of the chemical bonds determining the structure and properties of materials. Even if the quantum framework is able to define the big picture, an important difficulty remains: the Schrödinger equation is defined in a highly multidimensional space and its solution is in most cases unattainable.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Journey Around the Different Scales Involved in the Description of Matter and Complex SystemsThe Schrödinger Equation

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References (8)

Publisher
Springer International Publishing
Copyright
© The Author(s) 2018
ISBN
978-3-319-70000-7
Pages
1 –27
DOI
10.1007/978-3-319-70001-4_1
Publisher site
See Chapter on Publisher Site

Abstract

[The finest scale in the matter description consists of the one of quantum mechanics. In this chapter we revisit some valuable concepts of quantum mechanics, and more particularly the Schrödinger equation governing the time evolution of the so-called wavefunction, from which expectations can be easily derived. Another important output is the interatomic potentials responsible of the chemical bonds determining the structure and properties of materials. Even if the quantum framework is able to define the big picture, an important difficulty remains: the Schrödinger equation is defined in a highly multidimensional space and its solution is in most cases unattainable.]

Published: Nov 29, 2017

Keywords: Wavefunction; Schrödinger equation; Expectations; Pauli principle; Interatomic potentials

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