Allgemeine Relativitaetstheorie und relativistische by N. Straumann PDF

By N. Straumann

ISBN-10: 0387111824

ISBN-13: 9780387111827

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The temperature and density dependence of the O iii forbidden line ratio λλ4363/5007˚ A and the forbidden to intercombination line ratio λλ4363/1663˚ A. At low densities both are temperature diagnostics, but at high enough densities, both density and temperature can be determined. This pair of ratios would be a useful diagnostic in objects such as young nova shells, and in active galactic nuclear emission line regions. ˚ and other example is provided by the [S ii] λλ(4069+4076))/(6716+6731)A the λλ(6731)/(6716)˚ A line ratio.

31) this total wavefunction being a combination of nearly independent electronic (Ψe ), vibrational ((1/r)Ψν ) and rotational (Ψrot. ) wavefunctions. In positive rotational levels Ψtot. remains unchanged on reflection and for negative rotational levels Ψtot. change sign. This is analogous to even and odd atomic energy levels. Now, the vibration wavefunction is only a function of separation r, and is unchanged by reflection. In diatomic molecules, the net angular momentum about the inter–nuclear axis is typically zero (Λ = 0), although there are exceptions, so the electronic wavefunction (Ψe ) is also typically symmetric under reflection.

For the typical densities and temperatures found in the interstellar medium, the intercombination line transition probability is still comfortably larger than the mean atom–atom collisional rate. In nebulae at low enough densities or temperatures, we can even see magnetic quadrupole transitions. These are even more highly improbable, with transition probabilities of order α4 = (e2 /hc)4 lower than a resonance line at the same frequency. These are called forbidden lines. 4), where the wavelengths are given in angstr¨ oms, (˚ A).

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Allgemeine Relativitaetstheorie und relativistische Astrophysik by N. Straumann

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