Abstract
For the case of Hamiltonians with possibly non-Hermitian repulsive potential, the applicability is shown of the actual scheme used for construction of the variational expression in the eigen-value problem with Hermitian operator. The hydrogen atom up to the 4d-state is numerically solved with four such pseudo-Hamiltonians using the same trial function, which yields possibility of comparison.
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References
Austin B. J., Heine V., Sham L. J.: Phys. Rev.127 (1962), 276.
Phillips J. C., Kleinman L.: Phys. Rev.116 (1959), 287.
Antončík E.: Czech. J. Phys.7 (1957), 118.
Gombás P.: Pseudopotentiale, Chap. IV, Springer Wien-New York 1967.
Gombás P., Kunvári O.: Acta Phys. Ac. Sci. Hung.23 (1967), 443.
Brown E.: Phys. Rev.126 (1962), 421.
Velický B.: private communication.
Morse P. M., Feshbach H.: Methods of Theoretical Physics II, Chap. IX, McGraw-Hill Book Co., Inc., New York-Toronto-London 1953.
Cohen M. H., Heine V.: Phys. Rev.122 (1961), 1821.
Pick R., Sarma G.: Phys. Rev.135 (1964), 1363.
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čada, J. On the variational procedure with orthogonalization pseudo-Hamiltonians. Czech J Phys 19, 1061–1066 (1969). https://doi.org/10.1007/BF01691755
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DOI: https://doi.org/10.1007/BF01691755