the dependence of some thermodynamic properties of spin-polarized liquid 3he such as velocity of sound, adiabatic index, isentropic compressibility and temperature on the spin polarization has been investigated along different isentropic paths. the lennard-jones potential has been used in our calculations. it has been found that for higher values of entropy, the spin polarization has greater ef...

The dependence of some thermodynamic properties of spin-polarized liquid 3He such as velocity of sound, adiabatic index, isentropic compressibility and temperature on the spin polarization has been investigated along different isentropic paths. The Lennard-Jones potential has been used in our calculations. It has been found that for higher values of entropy, the spin polarization has greate...

A one-parameter family of time dependent adiabatic indices is introduced for any given type of cosmological fluid of constant adiabatic index by a mathematical method belonging to the class of Darboux transformations. The procedure works for zero cosmological constant at the price of introducing a new constant parameter related to the time dependence of the adiabatic index. These fluids can be ...

We revise the sequences of SUSY for a cyclic adiabatic evolution governed by the supersymmetric quantum mechanical Hamiltonian. The condition (su-persymmetric adiabatic evolution) under which the supersymmetric reductions of Berry (nondegenerated case) or Wilczek-Zee (degenerated case) phases of superpartners are taking place is pointed out. The analogue of Witten index (supersymmetric Berry in...

It is believed so far that the high harmonic generation (HHG) signal of adiabatically aligned molecules does not show any revival structure. This paper demonstrates the existence of revival structure of HHG signals of molecular ensemble aligned by using adiabatic as well as switched-off schema. The results are presented in the externally available control parameters – the delay-time, d t , betw...

We study the relative index of two orthogonal infinite dimensional projections which, in the finite dimensional case, is the difference in their dimensions. We relate the relative index to the Fredholm index of appropriate operators, discuss its basic properties, and obtain various formulas for it. We apply the relative index to counting the change in the number of electrons below the Fermi ene...