Wavefunctions and Energy Levels

Quantum Mechanics Describes Matter in Terms of Wavefunctions and Energy Levels. Physical Measurements are Described in Terms of Operators Acting on Wavefunctions... 

To find the wavefunctions and energy levels of an electron in a hydrogen atom, we must solve the appropriate Schrodinger equation. To set up this equation, which resembles the equation in Eq. 9 but allows for motion in three dimensions, we use the expression for the potential energy of an electron of charge — e at a... 

The explicit form of the zeroth-order vibrational wavefunctions and energy levels, FOj v and EQj v, depends on the description used for the electronic potential energy surface... 

These wavefunctions and energy levels are sometimes used to model the motion of electrons in a central metal atom (or ion) which is surrounded by six ligands. 

In Chapter 4 we saw that wavefunctions and energy levels could be obtained by diagonalizing a Fock matrix the equation... 

Fig. 5.5 Pictorial representation of basis functions, MO s, total wavefunction, and energy levels...

When discussing the electronic spectra and optical properties of Ceo, it is important to include the effect of screening of the external field. Using the ground state single-particle wavefunctions and energy levels, the dipole transition matrix elements and transition frequencies have been evaluated in order... 

Refutes classical physics on the atomic scale 1.7 Wavefunctions and Energy Levels Classical trajectories -> Precisely defined paths... 

From this equation, we can obtain a reasonable estimate of the wavefunctions and energy levels to be expected for this potential using perturbation theory... 

There is a faster but less precise way to see that the harmonic potential works for molecules near their vibrational ground states. The wavefunctions and energy level structure for real systems are determined by the nature of the Hamiltonian. Every Hamiltonian contains a kinetic energy operator of the form —(ft /2m)V. The only differences in kinetic energy operator from one... 

---