scholarly journals Time Ordering Effects on Hydrogen Zeeman-Stark Line Profiles in Low-Density Magnetized Plasmas

2010 ◽  
Vol 2010 ◽  
pp. 1-5 ◽  
Author(s):  
J. Rosato ◽  
D. Boland ◽  
M. Difallah ◽  
Y. Marandet ◽  
R. Stamm
Keyword(s):  
Stark Effect ◽  
Principal Quantum Number ◽  
Zeeman Effect ◽  
Magnetized Plasmas ◽  
Low Density ◽  
Stark Broadening ◽  
Simulation Code ◽  
Quantum Numbers ◽  
Balmer Lines ◽  
Hydrogen Lines

Stark broadening of hydrogen lines is investigated in low-density magnetized plasmas, at typical conditions of magnetic fusion experiments. The role of time ordering is assessed numerically, by using a simulation code accounting for the evolution of the microscopic electric field generated by the charged particles moving at the vicinity of the atom. The Zeeman effect due to the magnetic field is also retained. Lyman lines with a low principal quantum number n are first investigated, for an application to opacity calculations; next Balmer lines with successively low and high principal quantum numbers are considered for diagnostic purposes. It is shown that neglecting time ordering results in a dramatic underestimation of the Stark effect on the low-n lines. Another conclusion is that time ordering becomes negligible only when ion dynamics effects vanish, as shown in the case of high-n lines.

Stark broadening of high principal quantum number hydrogen Balmer lines in low-density laboratory plasmas

2007 ◽  
Vol 75 (1) ◽  
Author(s):  
E. Stambulchik ◽  
S. Alexiou ◽  
H. R. Griem ◽  
P. C. Kepple
Keyword(s):  
Quantum Number ◽  
Principal Quantum Number ◽  
Low Density ◽  
Stark Broadening ◽  
Laboratory Plasmas ◽  
Balmer Lines

scholarly journals Stark broadening of hydrogen lines in low-density magnetized plasmas

2009 ◽  
Vol 79 (4) ◽  
Author(s):  
J. Rosato ◽  
Y. Marandet ◽  
H. Capes ◽  
S. Ferri ◽  
C. Mossé ◽  
...  
Keyword(s):  
Magnetized Plasmas ◽  
Low Density ◽  
Stark Broadening ◽  
Hydrogen Lines

scholarly journals Half-integral quantum numbers in the theory of the stark effect and a general hypothesis of fractional quantum numbers

1924 ◽  
Vol 105 (734) ◽  
pp. 641-650 ◽  
Keyword(s):  
Stark Effect ◽  
Zeeman Effect ◽  
Fractional Quantum ◽  
General Hypothesis ◽  
Quantum Numbers ◽  
Considerable Success ◽  
Anomalous Zeeman Effect ◽  
Band Spectra ◽  
Fractional Quantum Numbers ◽  
Integral Quantum

1. Indications of the occurrence of fractional quantum numbers have already been found by Kratzer from a study of certain band spectra, and by Curtis in his experimental investigation of helium bands. Heisenberg has also employed half-integral numbers in a quantum theory of the anomalous Zeeman effect with considerable success. The fourth of the slightly extended quantum conditions recently suggested by W. Wilson and applied by the present writer to the Zeeman effect involves a fractional quantum number, as O. W. Richardson has pointed out. K. F. Niessen, in his work on the positively ionised hydrogen molecule, observes certain discontinuities in the energy graphs between symmetrical and asymmetrical models which strongly the occurrence of half-integral quantum orbits for the latter. He refrains, however, from making this assumption, on the ground that it would necessitate the adoption of half numbers in the somewhat allied case of the Stark effect.

Constructing Quantum Mechanics

2019 ◽  
Author(s):  
Anthony Duncan ◽  
Michel Janssen
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Stark Effect ◽  
Zeeman Effect ◽  
Black Body ◽  
Black Body Radiation ◽  
Wave Mechanics ◽  
Specific Heats ◽  
Old Quantum Theory ◽  
Upper Level

This is the first of two volumes on the genesis of quantum mechanics. It covers the key developments in the period 1900–1923 that provided the scaffold on which the arch of modern quantum mechanics was built in the period 1923–1927 (covered in the second volume). After tracing the early contributions by Planck, Einstein, and Bohr to the theories of black‐body radiation, specific heats, and spectroscopy, all showing the need for drastic changes to the physics of their day, the book tackles the efforts by Sommerfeld and others to provide a new theory, now known as the old quantum theory. After some striking initial successes (explaining the fine structure of hydrogen, X‐ray spectra, and the Stark effect), the old quantum theory ran into serious difficulties (failing to provide consistent models for helium and the Zeeman effect) and eventually gave way to matrix and wave mechanics. Constructing Quantum Mechanics is based on the best and latest scholarship in the field, to which the authors have made significant contributions themselves. It breaks new ground, especially in its treatment of the work of Sommerfeld and his associates, but also offers new perspectives on classic papers by Planck, Einstein, and Bohr. Throughout the book, the authors provide detailed reconstructions (at the level of an upper‐level undergraduate physics course) of the cental arguments and derivations of the physicists involved. All in all, Constructing Quantum Mechanics promises to take the place of older books as the standard source on the genesis of quantum mechanics.

The Zeeman Effect and the Stark Effect

2002 ◽  
pp. 257-267
Author(s):  
Franz Schwabl
Keyword(s):  
Stark Effect ◽  
Zeeman Effect

scholarly journals Radio Spectroscopy of Planetary Nebulae

1978 ◽  
Vol 76 ◽  
pp. 127-128
Author(s):  
Eric J. Chaisson
Keyword(s):  
Stark Effect ◽  
Principal Quantum Number ◽  
Planetary Nebulae ◽  
Radio Continuum ◽  
Radio Lines ◽  
Ion Temperature ◽  
Radio Recombination Line ◽  
Ngc 7027 ◽  
Optical Line ◽  
Ion Impact

The H110α radio recombination line has been observed toward the planetary nebulae NGC 7027, IC 418, and NGC 6543 in order to ascertain the physical characteristics of the bulk nebular gas. The observations of NGC 7027 confirm the earlier findings of Chaisson and Malkan (Ap.J., 210, 108, 1976) and Churchwell, Terzian and Walmsley (A&A, 48, 331, 1976) who reported evidence for a substantial increase in linewidth with principal quantum number. Attributed to electron-ion impact broadening (Stark Effect), the observations imply an electron density Ne ≃ 50,000/cm3. The LTE-derived electron-ion temperature Te ≃ 18,000°K agrees reasonably well with most radio-line analyses, as well as with previous analyses of the radio continuum, of forbidden optical line ratios, and of optical recombination lines and their associated continuum. IC418's HllOa line is also wider than radio lines observed at higher frequencies, suggesting a Stark Effect consistent with Ne < 20,000/cm3; NGC 6543 shows no appreciable line broadening, providing an upper limit to the density Ne < 10,000/cm3. The LTE-derived Te values for IC 418 and NGC 6543 are approximately 14,000 and 7000°K, reasonably consistent with those found by other techniques. On the basis of this and other recent studies, I suggest that the bulkemission in the Hnα recombination lines observed to date, 77 < n < 111, can be explained by a simple model of optically thin planetary nebular gas largely homogeneous in temperature and in density, and only slightly removed from LTE.

Exploiting Zeeman effect symmetries to measure particle velocities in magnetized plasmas

2019 ◽  
Vol 30 (5) ◽  
pp. 055202 ◽  
Author(s):  
J Green ◽  
O Schmitz ◽  
G Severn ◽  
V Winters
Keyword(s):  
Zeeman Effect ◽  
Magnetized Plasmas ◽  
Particle Velocities
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