Cross general theory

Delos, J.B. and Thorson, W.R. (1972) Studies of the potential-curve-crossing problem. II. General theory and a model for dose crossings. General theory and a model for dose crossings. Phys. Rev., A., 6, 728 Delos, J.B. and Thorson, W.R. (1975) Diabatic and adiabatic representations for atomic collision processes. J. Chem. Phys.,... 

G. K. Batchelor, Slender-body theory for particles of arbitrary cross-section in Stokes flow, J. Fluid Mech. 44, 419-40 (1970) R. G. Cox, The motion of long slender bodies in a viscous fluid, Part 1, General theory, J. Fluid Mech. 44, 791-810, (1970) Part 2, Shear Flow, J. Fluid Mech. 45, 625-657 (1971) J. B. Keller and S. T. Rubinow, Slender-body theory for slow viscous flow, J. Fluid Mech. 75, 705-14 (1976) R. E. Johnson, An improved slender-body theory for Stokes flow, J. Fluid Mech. 99, 411-31 (1980) A. Sellier, Stokes flow past a slender particle, Proc. R. Soc. London Ser. A 455, 2975-3002 (1999). 

The generalized theory of fracture mechanics of Andrews (35) predicts that the cohesive fracture energy per unit surface area J is given by the energy required to break the bonds crossing the fracture plane, Jq, multiplied by a loss function, 6. 

Hooker, C. A. (1981). Towards a general theory of reduction. Part III cross-categorical reduction. Dialogue, 20(03), 496—52.9. 

To the best of our knowledge, most of the general theories of nonadia-batic transition has been formulated to treat one-dimensional nonadiabatic systems of an isolated avoided crossing, the Landau Zener theory being an example. On the other hand, the theory of PSANB (and SET as well as its approximation) is not limited to those specific cases. Nevertheless, we need to examine how practically PSANB works by comparing its results with the full quantum calculations in a couple of one-dimensional... 

Goodman, Nelson. 1979. Fact fiction and forecast. Cambridge, MA Harvard University Press. Hooker, Clifford. 1981. Towards a general theory of reduction. Part I Historical and scientific setting. Part II Identity in reduction. Part III Cross-categorial reduction. Dialogue 20 38-59, 201-236, 496-529. 

Two different methods have been developed for prediction of the bubble size in a bed with internals formed by horizontal rows of tubes (Jodra and Aragon, 1983). One, based on a new correlation, makes it possible to find the size of a bubble above the tube as a function of the operating conditions and characteristics of the tube arrangement. The other is based on the general theory of bubble formation in submerged orifices. Both methods can be used to estimate bubble sizes, which are acceptably close to the experimental values, and can be applied to other types of internals, such as perforated plates, meshes and arrangements of horizontal bars of noncircular cross sections. 

One assumes here that the molecular Hamiltonian H is the same for all electronic states j, still the notation Hj with index j is useful to identify the electronic shell in which the wavepacket evolves. One can then also apply directly the general theory to nuclear degrees of freedom with the nuclear Hamiltonian depending on the electronic state j. A corresponding time-dependent representation for the RXS cross section (3.93) can be obtained by a Fourier transform of the spectral function,... 

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