Energy eigenfunctions hydrogenic

Here, we begin by analysing some general properties of the energy eigenfunctions of a confined hydrogenic system, the cusp and inflexion properties, and virial relation. [Pg.2]

The Schrddinger equation for the energy eigenfunctions of a confined hydrogenic system is... [Pg.2]

On assuming that the E increase as Zes, C increases as Z and not as ZU, as in the case of the Coulomb potential energy and hydrogenic eigenfunctions. It is interesting also to calculate the amount of increase of starting with Lalll 4f and ending with Tmlll 4f ... [Pg.117]

We have already seen (Chapter 4) that the lowest-energy eigenfunction for the hydrogen atom is (in atomic units)... [Pg.191]

The square of the orbital angular momentum of the electron and one component of this angular momentum can have predictable values if a hydrogen atom is in a state corresponding to an energy eigenfunction. The angular momentum values are different from the Bohr theory. [Pg.725]

Table 17.2 Radial Factors for Hydrogen-Like Energy Eigenfunctions...

Use the expression for the time-dependent wave function to show that the real hydrogen-like energy eigenfunctions... [Pg.761]

The energy eigenfunction of a hydrogen atom is given in Eq. (17.1 -17) as a product of the center-of-mass factor and the relative factor... [Pg.916]

As an example we may calculate the energy of the helium atom in its normal state (24). Neglecting the interaction of the two electrons, each electron is in a hydrogen-like orbit, represented by equation 6 the eigenfunction of the whole atom is then lt, (1) (2), where (1) and (2) signify the first and the second electron. [Pg.33]

Curve 1 represents the total energy of the hydrogen molecule-ion as calculated by the first-order perturbation theory curve 2, the naive potential function obtained on neglecting the resonance phenomenon curve 3, the potential function for the antisymmetric eigenfunction, leading to elastic collision. [Pg.43]

It is of interest to calculate the energy corresponding to the single eigenfunction p (or hydrogen atom that would result if the electron... [Pg.44]

The system to be treated consists of two nuclei A and B and two electrons 1 and 2. In the unperturbed state two hydrogen atoms are assumed, so that the zeroth-order energy is 2WH-If the first electron is attached to nucleus A and the second to nucleus B, the zeroth-order eigenfunction is ip (1)

zeroth-order energy, so that the system... [Pg.48]

We shall next consider whether or not the antisymmetric eigenfunction Hl for two hydrogen atoms (Equation 29b) would lead to an excited state of the hydrogen molecule. The perturbation energy is found to be... [Pg.55]

Fermi resonance physchem In a polyatomic molecule, the relationship of two vibrational levels that have In zero approximation nearly the same energy they repel each other, and the eigenfunctions of the two states mix. fer-me, rez-3n-3ns fermium chem Asynthetic radioactive element, symbol Fm, with atomic number 100 discovered in debris of the 1952 hydrogen bomb explosion, and now made in nuclear reactors. fer-me-3m )... [Pg.150]

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