Abstract
After developing the notions of angular momentum in the previous chapter, we are now ready to use these ideas to help solve some important applications. As a first example, we shall examine the hydrogen atom and hydrogen-like atoms. It should be noted that the hydrogen atom is not only an important historical contribution to theoretical chemistry. As we shall see later, a substantial number of the qualitative and quantitative concepts that are used concerning complex atoms and molecules are couched in terms of hydrogenic orbitals. Consequently, it is of importance to study the eigenfunctions and associated eigenvalues of the hydrogen atom in some detail.1
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References
M. Bauder and C. Itzykson, Rev. Mod. Phys., 838, 330 (1966).
H. A. Bethe and E. E. Saltpeter, Quantum Mechanics of One-and Two-Electron Atoms, Springer-Verlag, Berlin, 1957.
H. Shull and G. G. Hall, Nature (London), 184, 1559 (1959).
H. Eyring, J. Walter, and G. E. Kimball, Quantum Chemistry, John Wiley, New York, 1944.
R. E. Powell, J. Chem. Ed., 45 (1968).
E. A. Ogryzlo, J. Chem. Ed., 42, 150 (1965).
I. Cohen, J. Chem. Ed., 40, 256 (1963).
M. Czerny, Z. Phys., 34, 227 (1925).
G. Herzberg, Molecular Spectra and Molecular Structure, I. Spectra of Diatomic Molecules, Van Nostrand, Princeton, NJ, 1950, p. 58.
O. Burran, Kgl. Danske Videnskab. Selskab. Mat. Fys. Medd., 7, (14), 1 (1927).
J. A. Stratton, P. M. Morse, L. J. Chu, and R. A. Hunter, Elliptic, Cylinder, and Spheroidal Wavefunctions, John Wiley, New York, 1941.
E. A. Hylleraas, Z. Phys., 71, 739 (1931).
G. Jaffe, Z. Phys., 87, 535 (1934).
D. R. Bates, K. Ledsham, and A. L. Stewart, Phil. Trans. R. Soc. (London), A246, 215 (1954).
E. M. Roberts, M. R. Foster, and F. F. Selig, J. Chem. Phys., 37, 485 (1962).
H. Wind, J. Chem. Phys., 42, 2371 (1965).
J. L. Schaad and W. V. Hicks, J. Chem. Phys., 53, 851 (1970).
J. von Neumann and E. Wigner, Z. Phys., 30, 467 (1929).
E. Teller, J. Chem. Phys., 41, 109 (1937).
E. Teller, J. Chem. Phys., 41, 109 (1936).
F. L. Filar, Elementary Quantum Chemistry, McGraw-Hill, New York, 1968, p. 463.
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Christoffersen, R.E. (1989). The Hydrogen Atom, Rigid Rotor, and the H +2 Molecule. In: Basic Principles and Techniques of Molecular Quantum Mechanics. Springer Advanced Texts in Chemistry. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-6360-6_7
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DOI: https://doi.org/10.1007/978-1-4684-6360-6_7
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