Thermal excitation of the H atom

Nazakat Ullah

doi:10.1103/PhysRevE.53.4182

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Thermal excitation of the H atom

Nazakat Ullah^*

Tata Institute of Fundamental Research, Homi Bhabha Road, Colaba, Bombay 400 005, India

^*Electronic address: nu@tifrvax.tifr.res.in

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Phys. Rev. E 53, 4182 – Published 1 April, 1996

DOI: https://doi.org/10.1103/PhysRevE.53.4182

Abstract

The probability of finding the electron at a point $\vec{r}$ and at temperature $T$ in a H atom is found by considering only the discrete states and summing over the various quantum numbers using its Fourier transform. It is shown that at high temperatures this probability is of the same form as the density of electrons in a heavy atom.

References (6)

J.C. Slater, Phys. Rev. 38, 237 (1931)
M.D. Kostin, Phys. Rev. E 52, 229 (1995)
L.I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1955)
N. Ullah, J. Math. Phys. 33, 1672 (1992)
N. UllahHandbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1965), Chap. 15
S.M. Blinder, J. Math. Phys. 36, 1208 (1995)

[c1] J.C. Slater, Phys. Rev. 38, 237 (1931)

[c2] M.D. Kostin, Phys. Rev. E 52, 229 (1995)

[c3] L.I. Schiff, Quantum Mechanics (McGraw-Hill, New York, 1955)

[c4] N. Ullah, J. Math. Phys. 33, 1672 (1992)

[c5] N. UllahHandbook of Mathematical Functions, edited by M. Abramowitz and I. Stegun (Dover, New York, 1965), Chap. 15

[c6] S.M. Blinder, J. Math. Phys. 36, 1208 (1995)

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Thermal excitation of the H atom

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