Riemannian structure on manifolds of quantum states

Abstract

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About

This paper, published in 1950, received 527 indexed citations. Written by Jean-Pierre Provost and G. Vallée covering the research area of Statistical and Nonlinear Physics and Atomic and Molecular Physics, and Optics. It is primarily cited by scholars working on Atomic and Molecular Physics, and Optics (434 citations), Statistical and Nonlinear Physics (128 citations) and Artificial Intelligence (118 citations). Published in Communications in Mathematical Physics.

Countries where authors are citing Riemannian structure on manifolds of quantum states

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This map shows the geographic impact of Riemannian structure on manifolds of quantum states. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Riemannian structure on manifolds of quantum states with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Riemannian structure on manifolds of quantum states more than expected).

Fields of papers citing Riemannian structure on manifolds of quantum states

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Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of Riemannian structure on manifolds of quantum states. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the Riemannian structure on manifolds of quantum states.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

This paper is also available at doi.org/10.1007/bf02193559.

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