[en] The hydrodynamic theory of ³He-A in high magnetic fields is presented. Various novel predictions unique for ³He-A in high magnetic fields are obtained. Among these it is found that the derivative of the spin order parameter transforms under Galilei invariance neither like a velocity nor like a Galilei invariant quantity. In addition a reversible current coupling the spin order parameter and the density is obtained which reflects the fact that gauge invariance is broken spontaneously by the spin order parameter and it is concluded that a 'four-fluid' hydrodynamics is most appropriate for the description of ³He-A in high magnetic fields. Furthermore, a reversible static coupling of magnetic field, pressure and temperature is predicted leading to a 'magnetic fountain' effect and to a 'magneto-thermal' effect. (author)

[en] With the advent of ever more powerful computing and finite element analysis (FEA) capabilities, the bone and joint geometry detail available from either commercial surface definitions or from medical CT scans is inadequate. For dynamic FEA modeling of joints, precise articular contours are necessary to get appropriate contact definition. In this project, a fresh cadaver extremity was suspended in parafin in a lucite cylinder and then scanned with an industrial CT system to generate a high resolution data set for use in biomechanics modeling

[en] We investigate the spontaneously broken symmetries of ³P₂ neutron star matter and we present the nonlinear hydrodynamic equations of this superfluid. Apart from broken gauge symmetry, a fact which is common to all superfluids, we find that the total rotational symmetry of spin and orbit space is spontaneously broken, a unique feature of ³P₂ neutron star matter (orig.)

[en] The time-dependent analytic solutions of three classes of multidimensional Fokker-Planck equations with nonlinear drift are presented together with eigenvalues which are complex and depend essentially on the correlation functions of the fluctuations. (orig.)

[en] An explanation for the large flow dissipation in superfluid ³He-B is offered

[en] We present higher-order gradient terms in the dynamic equations for the A, A₁, and A phase in high magnetic fields of ³He, which have similar influence on the equations of motion as those higher-order gradient terms recently derived for the statics (free energy) of the A phase. In addition we give the nonlinear free energy of the A₁ phase and discuss briefly the validity of the inclusion of higher-order gradient terms in hydrodynamic equations

[en] High-resolution laser-atomic-beam spectroscopy has been used to determine isotope shifts in five transitions between low-lying states of Sr I. With these results and existing data a parametric analysis of level isotope shifts has been performed. The transition isotope shifts have been separated into field shift and mass shift contributions with a Kingplot procedure using model-independent nuclear charge equivalent radii Rsub(k) from muonic X-ray measurements. Values for the mean-square nuclear charge radii delta< r²> have been calculated from the field shifts in the optical transitions 5s²¹S₀-5s 5p ³P₁ and 5s 5p ³P₀-5s 6s ³S₁ and compared with corresponding delta< r²> values evaluated from muonic X-ray data. (orig.)

[en] The Kubo formulae, derived in a previous paper, are used to give a microscopic evaluation of the dissipative transport parameters of ³He in the A- and B- phase in a simple relaxation time approximation. The relevant current-current correlation functions are evaluated by using BCS-Green functions, renormalised for strong coupling and collision effects. It is found that the unknown renormalisation function enters all transport coefficients in the same way. For further evaluation it is parametrised by a collision time. Comparison with experiment is made for the shear viscosity as a function of temperature, by adjusting one fit parameter. A prediction for for the thermal conductivity and for the longitudinal NMR width in the B-phase is then possible without further fit parameters. (author)

[en] The nonlinear reversible hydrodynamic equations for the superfluid phases of ³He, i.e., ³He-A, ³He-A₁, ³He-B, ³He-A in high magnetic fields, and ³He-B in high magnetic fields, are derived. The Mermin-Ho--type relations for ³He-A in high magnetic fields and ³He-B in high magnetic fields are given for the first time. The influence of higher-order gradient terms in all phases is discussed, and a new class of nonlinear terms containing the various kinds of velocities is given which have not been considered so far for any of the five superfluid phases. In addition we show that the hydrodynamic equations for ³He-A in high magnetic fields contain as a special case the hydrodynamics of superfluid ³He-A₁ and the orbit part of the hydrodynamic equations for ³He without external field. Furthermore, we point out some structural similarities in the equations for ³He-A in high magnetic fields and ³He-B in high magnetic fields. As an additional effect we find that the higher-order gradient terms imply a preferred direction in the hydrodynamic equations for superfluid ³He-B

[en] We present the gradient free energy in the BCS approximation for the A phase in high magnetic fields and the A₁ phase. The A phase without external magnetic field, which has been considered previously by Blount and Cross, emerges as a special case of the result for the A phase in high magnetic fields