Guessing Quantum States from Images of their Zeros in the Complex Plane

• Autorzy: Janowicz Maciej , Zembrzuski Andrzej

Identyfikatory

DOI

10.22630/MGV.2022.31.3.8

• Języki publikacji: EN

Abstrakty

EN

The problem of determining the wave function of a physical system based on the graphical representation of its zeros is considered. It can be dealt with by invoking the Bargmann representation in which the wave functions are represented by analytic functions with an appropriate definition of the scalar product. The Weierstrass factorization theorem can then be applied. Examples of states that can be guessed from the pictorial representation of zeros by both the human eye and, possibly, by machine learning systems are given. The quality of recognition by the latter has been tested using Convolutional Neural Networks.

Słowa kluczowe

EN

scientific visualization; zeros of wave functions; Bargmann representation; Weierstrass factorization theorem; Convolutional Neural Networks

• Wydawca: Institute of Information Technology of the Warsaw University of Life Sciences – SGGW
• Czasopismo: Machine Graphics and Vision
• Rocznik: 2023
• Tom: Vol. 32, No. 3/4
• Strony: 147--159
• Opis fizyczny: Bibliogr. 9 poz., rys., tab., wykr.

Twórcy

autor

Janowicz Maciej

• Department of Applied Mathematics, Institute of Information Technology, Warsaw University of Life Sciences – SGGW, Warsaw, Poland

• https://orcid.org/0000-0002-1584-2089

autor

Zembrzuski Andrzej

• Department of Applied Mathematics, Institute of Information Technology, Warsaw University of Life Sciences – SGGW, Warsaw, Poland

• https://orcid.org/0000-0001-5943-3968

Bibliografia

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