Mathematical Analysis and Computation in Quantum Physics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E4: Mathematical Physics".

Deadline for manuscript submissions: closed (30 April 2024) | Viewed by 341

Special Issue Editor


E-Mail Website
Guest Editor
1. Dipartimento di Fisica e Astronomia “G.Galilei”, Università degli Studi di Padova, Via Marzolo 8, I-35131 Padova, Italy
2. INFN-Sezione di Padova, Via Marzolo 8, I-35131 Padova, Italy
Interests: nuclear physics; atomic physics; quantum theory; lie algebras; group theory

Special Issue Information

Dear Colleagues,

Mathematical analysis and computational techniques are vast areas of research in Mathematics and often form an important set of toolkits for physics, biology and science in general.

Quantum physics, in all its branches and endless applications, benefits from advanced mathematical analysis in several respects. Atomic, molecular, nuclear and particle physics all share a common strong basis in this discipline. Pure number theory, complex analysis, differential equations, vector spaces and the like are essential in the quantum description of the world at the very small scale. In addition, new topics, such as cryptography and topology, are experiencing interesting cross-fertilization with the quantum world. Computation and advanced plotting are also essential tools for mathematical physicists in order to obtain and visualize new results; therefore, these two inextricable topics do complement each other nicely and are the subjects of the present Special Issue of Mathematics.

The field is so vast and open that contributions ranging from pure analysis to pure computational aspects will be taken into consideration, as well as all sorts of applications in which new mathematical results apply to quantum physical phenomena.

Prof. Dr. Lorenzo Fortunato
Guest Editor

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Keywords

  • mathematical analysis
  • complex functions
  • computational techniques
  • group theory
  • lie algebras
  • mathematical aspects of quantum physics
  • mathematical aspects of nuclear physics
  • mathematical aspects of atomic and molecular physics

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Published Papers

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