In this paper it is shown that several cases of one-dimensional N-body problems are exactly soluble. The first case describes the motion of three one-dimensional particles of arbitrary mass which interact with one another via infinite-strength, repulsive delta-function potentials. It is found in this case that the stationary-state solution of the scattering of the three particles is analogous to an electro-magnetic diffraction problem which has already been solved. The solution to this analogous electro-magnetic problem is interpreted in terms of particles. Next it is shown that the problem of three particles of equal mass interacting with each other via finite- but equal-strength delta-function potentials is exactly soluble. This example exhibits rearrangement and bound-state effects, but no inelastic processes occur. Finally it is shown that the problem of N particles of equal mass all interacting with one another via finite- but equal-strength delta functions is exactly soluble. Again no inelastic processes occur, but various types of rearrangements and an N-particle bound state do occur. These rearrangements and the N-particle bound state are illustrated by means of a series of sample calculations.
The exact energies and wavefunctions for the ground state and low-lying excited states of a system of N − 1 one-dimensional fermions all of the same spin and one fermion of the opposite spin are calculated in the large-volume, finite-density limit when the particles interact via a repulsive delta function potential. A number of properties of the system such as pair correlation functions and the effective mass of a certain class of excitations are also discussed.
Normothermic sanguineous oxygenated perfusion is a superior method of preservation compared with simple cold storage in UW solution. In addition, perfusion allows the possibility to assess viability of the graft before transplantation.
The exact energies and wavefunctions for a system of (N − 1) one-dimensional fermions all of the same spin and one fermion of the opposite spin are calculated in the large volume, finite density limit, when the particles interact via an attractive delta function potential. It is found that the attractive potential gives rise to a bound state, but, in spite of the presence of this bound state, all of the physical properties which are calculated (ground-state energy, effective mass of a certain class of excitations, etc.) are analytic continuations in the coupling constant of the corresponding results in the repulsive case. In addition, it is possible to have eigenstates which do not have the bound state present. These excited states are also discussed and are found to exhibit a negative effective mass and to modify the particle density at very large distances from the different particle.
Objective. To determine if dehydroepiandrosterone (DHEA) has clinical benefits in patients with systemic lupus erythematosus (SLE).Methods. Ten female patients with mild to moderate SLE and various disease manifestations were given DHEA (200 mg/day orally) for 3-6 months. The patients were given other medications as clinically indicated, and followed with respect to overall disease activity and specific outcome parameters.Results. After 3-6 months of DHEA treatment, indices for overall SLE activity including the SLEDAI (SLE Disease Activity Index) score and physician's overall assessment were improved, and corticosteroid requirements were decreased. Of 3 patients with significant proteinuria, 2 showed marked and 1 modest reductions in protein excretion. DHEA was well tolerated, the only frequently noted side effect being mild acneiform dermatitis.Conclusion. DHEA shows promise as a new therapeutic agent for the treatment of mild to moderate SLE. Further studies of DHEA in the treatment of SLE are warranted.An etiologically important role of sex steroids in systemic lupus erythematosus (SLE) has been suggested both by observations of human patients and by manipulation of the sex hormone status of mice with lupus-like disease. Thus, SLE is seen predominantly
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