Variational methods for schrödinger type equations

Giovany Malcher Figueiredo; Edwin Gonzalo Murcia; Gaetano Siciliano

doi:10.1007/978-3-030-15242-0_16

Variational methods for schrödinger type equations

Giovany Malcher Figueiredo, Edwin Gonzalo Murcia, Gaetano Siciliano

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

It is well known that the Schrödinger equation is one of the most important equations in physics. It was formulated by E. Schrödinger in 1925 (which later in 1933 received the Nobel Prize in Physics) and introduced by taking into account the de Broglie hypothesis according to which matter particles possess a wave packet delocalized in space. According to the Copenhagen interpretation the square modulus of the wave function σ: R³ × R → C encloses the physical information on the particle; in particular, |σ|² is related to the probability of finding the particle in a specific space region. Since its formulation the Schrödinger equation is the object of many research from a physical and mathematical point of view.

Original language	English
Title of host publication	Current Trends in Mathematical Analysis and its Interdisciplinary Applications
Publisher	Springer International Publishing
Pages	565-645
Number of pages	81
ISBN (Electronic)	9783030152420
ISBN (Print)	9783030152413
DOIs	https://doi.org/10.1007/978-3-030-15242-0_16
State	Published - 01 Jan 2019

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abstract = "It is well known that the Schr{\"o}dinger equation is one of the most important equations in physics. It was formulated by E. Schr{\"o}dinger in 1925 (which later in 1933 received the Nobel Prize in Physics) and introduced by taking into account the de Broglie hypothesis according to which matter particles possess a wave packet delocalized in space. According to the Copenhagen interpretation the square modulus of the wave function σ: R3 × R → C encloses the physical information on the particle; in particular, |σ|2 is related to the probability of finding the particle in a specific space region. Since its formulation the Schr{\"o}dinger equation is the object of many research from a physical and mathematical point of view.",

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AU - Murcia, Edwin Gonzalo

AU - Siciliano, Gaetano

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AB - It is well known that the Schrödinger equation is one of the most important equations in physics. It was formulated by E. Schrödinger in 1925 (which later in 1933 received the Nobel Prize in Physics) and introduced by taking into account the de Broglie hypothesis according to which matter particles possess a wave packet delocalized in space. According to the Copenhagen interpretation the square modulus of the wave function σ: R3 × R → C encloses the physical information on the particle; in particular, |σ|2 is related to the probability of finding the particle in a specific space region. Since its formulation the Schrödinger equation is the object of many research from a physical and mathematical point of view.

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ER -

Variational methods for schrödinger type equations

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