Summary
The paper describes a possible approach to calculate the energy levels of simple quantum systems and many-electron atoms, where the Coulombian interaction is taken into account. In the particular case of hydrogen-like atoms, the results agree with those obtained through the well-known procedures of calculation. In the case of many-electron atoms, a simple formula is derived to calculate the electron energy levels; the results are in good agreement with the experimental spectroscopic data for several elements.
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References
De Souza Dutra A. Phys. Lett. A,131 (1988) 319.
Hartree D.R.,The Calculation of Atomic Structures (J. Wiley & Sons, London) 1957.
Hylleras E. A.,Z. Phys.,54 (1929) 347.
Froese-Fisher C.,The Hartree-Fock Method for Atoms: A Numerical Approach (J. Wiley and Sons, New York, N.Y.) 1977.
Froese-Fisher C.,Comput. Phys. Commun.,64 (1991) 369; see also64 (1992) 399.
Pekeris C. L.,Phys. Rev.,112 (1958) 1649.
Pekeris C. L.,Phys. Rev.,13 (1976) 915.
Clementi E. (Editor),Methods and Techniques in Computational Chemistry: METECC-94, Volume A:Small systems (STEF, Cagliari) 1993.
Eyring H., Walter J. andKimball G. E.,Introduzione alla meccanica quantistica (Sansoni Editore, Firenze) 1955.
Fermi E.,Z. Phys.,48 (1928) 73.
Thomas L. H.,Proc. Cambridge Philos. Soc.,23 (1927) 542.
Kompaneyets A. S.,Theoretical Physics (MIR Editions, Moskow) (1965), pp. 320 and ff.
Pauling L. andWilson E. B.,Introduction to Quantum Mechanics (McGraw-Hill Book Company, New York, N.Y.) 1935, p. 41.
Lide D. R. (Editor),Handbook of Chemistry and Physics, 73rd edition (CRC Press, Boca Raton, Fla.) 1993.
Clementi E. (Editor),Modern Techniques in Computational Chemistry (ESCOM, Leiden) 1990, p. 65.
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Tosto, S. An analysis of the states in the phase space: the energy levels of quantum systems. Nuov Cim B 111, 193–215 (1996). https://doi.org/10.1007/BF02724645
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DOI: https://doi.org/10.1007/BF02724645