Semiclassical model of the structure of matter
G. V. Shpatakovskaya

This publication is cited in the following articles:

1. A. Yu. Potekhin, A. I. Chugunov, N. N. Shchechilin, N. Chamel, “On variational trial functions in extended Thomas–Fermi method”, Phys. Usp., 68:7 (2025), 691–698          
2. V. M. Rozenbaum, I. V. Shapochkina, L. I. Trakhtenberg, “Quantum particle in a V-shaped well of arbitrary asymmetry. Brownian motors”, Phys. Usp., 67:10 (2024), 1046–1055          
3. A. S. Poliukhin, S. A. Dyachkov, A. A. Malyugin, P. R. Levashov, “A wide-range semiclassical self-consistent average atom model”, Physics of Plasmas, 30:1 (2023)  
4. S. E. Kuratov, D. S. Shidlovski, S. I. Blinnikov, S. Yu. Igashov, “Two scales of quantum effects in a mesoscopic system of degenerate electrons”, Phys. Usp., 64:8 (2021), 836–851            
5. Fedotkin S.N., “Averaged Overall Atomic Electrons Probability of Positrons Annihilation At Beta(+)-Decay”, Nucl. Phys. Atom. Energy, 21:1 (2020), 5–12      
6. Dyachkov S.A., Minakov D.V., Levashov P.R., Xxxiv International Conference on Interaction of Intense Energy Fluxes With Matter, Journal of Physics Conference Series, 1556, IOP Publishing Ltd, 2020      
7. Shpatakovskaya G.V., Xxxiv International Conference on Interaction of Intense Energy Fluxes With Matter, Journal of Physics Conference Series, 1556, IOP Publishing Ltd, 2020      
8. G. V. Shpatakovskaya, “Semiclassical method of analysis and estimation of the orbital binding energies in many-electron atoms and ions”, Phys. Usp., 62:2 (2019), 186–197            
9. Shemyakin O.P., Levashov P.R., Krasnova P.A., “Tfmix: a High-Precision Implementation of the Finite-Temperature Thomas-Fermi Model For a Mixture of Atoms”, Comput. Phys. Commun., 235 (2019), 378–387      
10. Kuratov S.E., Shidlovski D.S., Blinnikov S.I., “Quantum Shell Effects in Compressed Mesoscopic System”, Phys. Plasmas, 26:2 (2019), 022709      
11. Kadatskiy M.A., “Quantum-Statistical Calculations of the Thermodynamic Properties of Molybdenum At High Energy Densities”, High Energy Density Phys., 33 (2019), UNSP 100700      
12. Chikina I., Shikin V., “Barium Ions in Liquid Helium”, Low Temp. Phys., 44:5 (2018), 401–409      
13. Kuratov S.E., Shidlovski D.S., Blinnikov S.I., “Inhomogeneous Spatial Distribution of Electrons in a Compressed Gas Bubble of Submicron Size”, 11Th International Conference Aerophysics and Physical Mechanics of Classical and Quantum Systems (Aphm-2017), Journal of Physics Conference Series, 1009, ed. Surzhikov S., IOP Publishing Ltd, 2018, UNSP 012013      
14. G. V. Shpatakovskaya, “Dependence on ionization degree and relativistic effects in electron binding energies in free atoms and ions”, Preprinty IPM im. M. V. Keldysha, 2018, 184, 12 pp.    
15. Kyarov A.Kh., Savintsev A.P., Xxxii International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2017), Journal of Physics Conference Series, 946, IOP Publishing Ltd, 2018      
16. Levashov P.R. Minakov D.V., Xxxii International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2017), Journal of Physics Conference Series, 946, IOP Publishing Ltd, 2018      
17. G. V. Shpatakovskaya, “Atomic-number similarity of the $K$ and $L$ X-ray terms in multielectron atoms”, JETP Letters, 108:11 (2018), 768–771          
18. Kadatskiy M.A., Khishchenko K.V., “Theoretical Investigation of the Shock Compressibility of Copper in the Average-Atom Approximation”, Phys. Plasmas, 25:11 (2018), 112701      
19. I. V. Lomonosov, S. V. Fortova, “Wide-range semiempirical equations of state of matter for numerical simulation on high-energy processes”, High Temperature, 55:4 (2017), 585–610          
20. V. Ya. Karpov, G. V. Shpatakovskaya, “On the Atomic-Number Similarity of the Binding Energies of Electrons in Filled Shells of Elements of the Periodic Table”, J. Exp. Theor. Phys., 124:3 (2017), 369–378          
21. Dyachkov S., Levashov P., Minakov D., “Region of validity of the Thomas–Fermi model with corrections”, Phys. Plasmas, 23:11 (2016), 112705        
22. Poklonski N.A. Vyrko S.A. Poklonskaya O.N. Kovalev A.I. Zabrodskii A.G., “Ionization equilibrium at the transition from valence-band to acceptor-band migration of holes in boron-doped diamond”, J. Appl. Phys., 119:24 (2016), 245701        
23. Poklonski N.A., Vyrko S.A., Poklonskaya O.N., Zabrodskii A.G., “Role of electrostatic fluctuations in doped semiconductors upon the transition from band to hopping conduction (by the example of p-Ge:Ga)”, Semiconductors, 50:6 (2016), 722–734        
24. Dyachkov S.A., Levashov P.R., Minakov D.V., “Region of Validity of the Thomas Fermi Model With Quantum, Exchange and Shell Corrections”, Xxxi International Conference on Equations of State For Matter (Elbrus 2016), Journal of Physics Conference Series, 774, IOP Publishing Ltd, 2016, UNSP 012006      
25. Kadatskiy M.A. Khishchenko K.V., “Shock Compressibility of Iron Calculated in the Framework of Quantum-Statistical Models With Different Ionic Parts”, Xxxi International Conference on Equations of State For Matter (Elbrus 2016), Journal of Physics Conference Series, 774, IOP Publishing Ltd, 2016, UNSP 012005      
26. Khishchenko K.V., “Equation of State For Titanium At High Energy Densities”, Xxxi International Conference on Equations of State For Matter (Elbrus 2016), Journal of Physics Conference Series, 774, IOP Publishing Ltd, 2016, UNSP 012001      
27. Shpatakovskaya G.V., Karpov V.Ya., “Atomic Number Scaling of Electron Spectra in the Free Atoms”, Xxxi International Conference on Equations of State For Matter (Elbrus 2016), Journal of Physics Conference Series, 774, IOP Publishing Ltd, 2016, UNSP 012002      
28. S.N. Fedotkin, “Cross-section of the photoeffect averaged over the atomic electrons”, Nucl. Phys. At. Energy, 17:3 (2016), 226  
29. Sergey Seriy, “Modern Ab-Initio Calculations on Modified Tomas-Fermi-Dirac Theory”, OJMSi, 03:03 (2015), 96  
30. Kadatskiy M.A., Khishchenko K.V., “Comparison of Hugoniots Calculated For Aluminum in the Framework of Three Quantum-Statistical Models”, Xxx International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2015), Journal of Physics Conference Series, 653, IOP Publishing Ltd, 2015, 012079      
31. Shpatakovskaya G.V., Karpov V.Ya., “Shell Correction To the Thomas-Fermi Statical Model of Plasma With Different Atomic Compostion At High and Low Temperatures”, Xxx International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2015), Journal of Physics Conference Series, 653, IOP Publishing Ltd, 2015, UNSP 012074      
32. J. W. Abraham, M. Bonitz, “Quantum Breathing Mode of Trapped Particles: From Nanoplasmas to Ultracold Gases”, Contrib. Plasma Phys., 54:1 (2014), 27          
33. Sergey Dyachkov, Pavel Levashov, “Region of validity of the finite–temperature Thomas–Fermi model with respect to quantum and exchange corrections”, Phys. Plasmas, 21:5 (2014), 052702      
34. V. Ya. Karpov, G. V. Shpatakovskaya, “Inclusion of the discreteness of the electronic spectrum in the statistical model of free ions”, JETP Letters, 98:6 (2013), 348–352            
35. Christian Castrejon-Martinez, V.V.. Grimalsky, L.M.anuel Gaggero-Sager, S.V.. Koshevaya, “Combined method for simulating electron spectrum of $\delta$-doped quantum wells in N-Si with many-body corrections”, PIER M, 31 (2013), 215–229