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Mathematical Elements of Quantum Electronic Density Functions

Elsevier Science & Technology
Publication Date
DOI: 10.1016/s0065-3276(05)49003-6
  • Mathematics
  • Physics


Abstract This chapter is a discussion on the electronic density functions formal structure and mathematical properties. A primary objective of this study is focused on the easy description of the quantum object concept, in connection with the quantum similarity measures framework. Several mathematical tools are discussed concerning the development of this task, among others: inward matrix products, extended Hilbert and Sobolev spaces, convex sets, vector semispaces, generating rules, diagonal representations, etc.

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