Abstract
We have seen in the initial parts of this book that a wave may be defined as a disturbance in some physical system which is periodic in both space and time.
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Notes
- 1.
The adopted mathematical symbolism differ slightly from what we have seen before in the same paragraph but I prefer to conform to the Authors’ style, to avoid misinterpreting.
- 2.
- 3.
The cutoff energy T is usually given in Rydbergs (Ry), for historical reasons. 1 Ry = 0.5 Hartree.
- 4.
This approximation is generally known as Muffin Tin, for the peculiar shape of the potential in the spheres (resembling a Muffin) and flat outside (i.e. the tin). Slater, however never used this term in its 1937 paper.
- 5.
The concept of over completeness was introduced by Duffin and Schaeffer (1952) for a class of non-harmonic Fourier series. In this case it is applied to plane waves. A complete system of plane waves is overcomplete if removal of an element from the system results in a system that is still complete.
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Ottonello, G.A. (2024). Quantum Mechanical Wave Functions. In: Quantum Geochemistry. Springer Geochemistry. Springer, Cham. https://doi.org/10.1007/978-3-031-21837-8_12
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DOI: https://doi.org/10.1007/978-3-031-21837-8_12
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