Quantum-mechanical Boltzmann equation.
Equation for singlet distribution function as quantum-mechanical analog of Boltzmann equation
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Equation for singlet distribution function as quantum-mechanical analog of Boltzmann equation
Matrix elements calculation for one dimensional quantum-mechanical problems using transformation theory
Optimum signal reception using quantum-mechanical communication theory
Electronic wave functions for diatomic lithium hydride molecules, using quantum mechanical calculations
Phase shift method using integration of quantum- mechanical Hamilton-Jacobi equation applied to particles interacting through Lennard-Jones potential
Iterative solutions for quantum mechanical bound states
Quantum mechanical potential energy curve of lowest normal state of diatomic helium computed in valence bond scheme, using 17-term wave function of Slater orbitals
Quantum mechanical calculation of transport coefficients of gas of loaded spheres, obtaining scattering amplitudes and cross sections
Quantum mechanical kinetic theory of gas loaded spheres to obtain limit of transport coefficients and relaxation time
Singly ionized Mg resonance lines electron impact broadening quantum mechanical calculation
Quantum mechanical communication theory of optimal receivers, using statistical detection and estimation theory
Quantum mechanical relation for magnetized electron gas in constant magnetic field and thermal equilibrium
Collision effects on atomic spectral line profiles, using quantum mechanical description of atomic center-of-mass motion with particular application to lasers
Collision effects on line shapes using quantum mechanical description of atomic center of mass motion, considering pressure effects in gas lasers
Potential energy curves for 0-N interactions corresponding to the X (sup 2) II (sub t/2), X (sup 2) II (sub 3/2), A (sup 2) Eta (sup plus), B (sup 2) II, C (sup 2) II, D (sup 2) Eta (sup plus), E (sup 2) Eta (sup plus), and B prime (sup 2 delta) states of nitric oxide have been calculated from spectroscopic data by the Rydberg- Klein-Rees method. Curves for the (sup 4) II, (sup 2) Eta, (sup 4) Eta, (sup 6) Eta, and (sup 6) II states have been obtained from limited spectroscopic results and from relations derived from approximate quantum-mechanical calculations. Two semi-independent calculations have been made, and are in good agreement with each other. The quantum-mechanical relations also lead to approximate curves for the O[Single Bond]N, and O[Single Bond]N (sub 2) interactions over a limited range. The O (sub 2)[Single Bond]N (sub 2) interaction is consistent with one valid at larger separation distances which has been derived from high-temperature gas viscosity data.
Quantum-mechanical properties derived for isolated donor atom located on surface of dielectric crystal, noting hydrogenic wave function with planar nodes
Results are reported for quantum-mechanical studies of the ions HSiO(+) and HOSi(+). The equilibrium geometries, rotation constants, and relative stabilities of these ions are determined using the matrix Hartree-Fock model with a basis set of Slater exponential functions. Optimum bond lengths are calculated, and an empirical correction to the computed bond lengths is introduced. The isomer HOSi(+) is found to be more stable than HSiO(+). A frequency of 35.77 GHz is obtained for the J = 1-0 transition of HOSi(+) by assuming that the vibration-rotation interaction constants for this isomer are the same as those for HCP.
Potential-energy curves for nitrogen atom (N-N) interactions corresponding to the X (1)Sigma(sup +, sub g), A (3)Sigma(sup +, sub u), (5)Sigma(sup +, sub g), (7)Sigma(sup +, sub u), B (3) Pi(sub g), C (3)(Pi(su u)and a (1)Pi(sub g) states of the nitrogen molecule N2 as well as curves for the atom-molecules (N-N2) and molecule-molecule (N2-N2) interactions have been calculated. All calculations have been based as nearly as possible on experimental data, including spectroscopically determined vibrational energy levels, scattering cross sections of atomic beams in gases, and measured vibrational relaxation times. In cases where experimental data were not available, approximate quantum-mechanical calculations have been made. Results obtained by these various methods are remarkably consistent with one another and are believed to have good accuracy.