Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
zbMATH Open Web Interface contents unavailable due to conflicting licenses. |
| Συγγραφείς: |
zbMATH Open Web Interface contents unavailable due to conflicting licenses. |
| Στοιχεία εκδότη: |
Taylor \& Francis, Philadelphia, PA |
| Θεματικοί όροι: |
Variational methods applied to PDEs, Statistical thermodynamics, General mathematical topics and methods in quantum theory, Many-body theory, quantum Hall effect, Quantum equilibrium statistical mechanics (general), Variational methods applied to problems in thermodynamics and heat transfer, PDEs in connection with quantum mechanics |
| Περιγραφή: |
The paper aims to develop a rigorous definition of energy for an infinite three-dimensional system (i.e., in the thermodynamic limit) of nuclei and electrons. The prototypical system considered in the paper is an irregular lattice of nuclei set at fixed positions interacting with electrons, whose density and the corresponding energy density are treated in the Thomas-Fermi approximation. The eventual objective is to determine the ground state of the system and its energy by means of minimizing the energy functional, the mathematical problem being to identify a class of configurations for which the ground state exists. This problem admits a general known solution for periodic configurations (like crystal lattices). The objective of the paper is to find general conditions (in terms of the properly defined functional classes etc.) which make it possible to guarantee the well-posedness of the energy functional and the existence of the ground state in irregular (nonperiodic) distributions of the fixed nuclei. |
| Τύπος εγγράφου: |
Article |
| Περιγραφή αρχείου: |
application/xml |
| DOI: |
10.1081/pde-120019389 |
| Σύνδεσμος πρόσβασης: |
https://zbmath.org/1909269 |
| Αριθμός Καταχώρησης: |
edsair.c2b0b933574d..717b3c12e1db347df8e38633d42dd15b |
| Βάση Δεδομένων: |
OpenAIRE |