High Order Coherence Functions and Spectral Distributions as Given by the Scully-Lamb Quantum Theory of the Laser

We propose and demonstrate a method for measuring the time evolution of the off-diagonal elements ρn,n+k(t) of the reduced density matrix obtained from the quantum theory of the laser. The decay rates of the off-diagonal matrix element ρn,n+k(t) (k = 2,3) are measured for the first time and compared with that of ρn,n+1(t), which corresponds to the linewidth of the laser. The experimental results agree with the Scully-Lamb quantum theory of the laser.

Effect of Phase Choices in Rovibrational Wavefunctions on the Labeling of K-and l-Type Doubling in Molecular Energy Levels

The change in phase factor of the wavefunction does not affect the absolute value of the matrix element, but does change the phase factor of the off-diagonal matrix element. This phase dependence causes a serious confusion in the sign of some parameters in the molecular Hamiltonian, which appear only in the off-diagonal matrix element; for example, the sign of the l-type doubling constant q of a linear or a symmetric-top molecule. In the present paper, the energy eigenvalues, symmetry species, and labeling of the eigenfunctions are discussed for the K-type doubling of asymmetric-top molecules and for the l-type doubling of linear or symmetric-top molecules in relation to the choices of phases in the basis wavefunctions.

Dipole Moment of CS2 in its ã3A2 State

The Stark effect on the [Formula: see text] system of 12C32S2 has been investigated. The most pronounced effects involve the 270,27 and 261,26 rotational levels of the 140 vibrational state and the 290,29 and 281,28 rotational levels of the 050 vibrational state. These pairs of levels are nearly degenerate and are coupled by an off-diagonal matrix element in the presence of an electric field. An analysis of the Stark shifts and the shapes of the Stark broadened lines yields[Formula: see text]Comparison of these energy separations with values calculated from measurements in the near ultraviolet spectrum and lower state term values based primarily on infrared data reveals a systematic discrepancy of 0.022 cm−1.

An expansion method for calculating atomic properties IV. Transition probabilities

An earlier expression for the expectation value of a single-electron operator which isstationary with respect to first-order variations of the state wave function has been generalized to the case of an off-diagonal matrix element connecting two different states. Explicit calculations are carried out of the probabilities of dipole transitions between configurations 1 s a 2 s b 2 p c and 1 s a 2 s b–1 2 p c+1 for all members of the isoelectronic sequences from helium to neon and the importance of taking into account the mixing of degenerate configurations is demonstrated. The accuracy is at least comparable to that of the Hartree-Fock approximation and in cases where degeneracy is important it is much superior.