Pitaevsky

Berestetski V. B., Lifshitz E. M., Pitaevski L. P. Relativistic Quantum Theory (Nauka, Moscow) (1968). 

LD Landau, LP Pitaevski, EM Lifshitz. Statistical physics. 3rd ed. New York Pergamon Press, 1980. 

E.M. Lifshiz, and L.P. Pitaevsky, Statistical Physics, part II, Pergamon press 1980. 

A procedure similar to the condensate separation in the imperfect Bose gas was employed by Lifshitz and Pitaevski [78]. The diagrammatic technique allows us to calculate the reaction rate and steady-state joint correlation functions. A separation of a condensate from terms with k = 0 cannot be done without particle production (p = 0), in which case nA, tiq —> 0 as t —> oo. In this respect the formalism presented by Lushnikov [111] for the non-stationary processes is of certain interest. 

Landau LD, Lifshitz EM, Pitaevski LP. Electrodynamics of Continuous Media. Oxford Pergamon, 1984,... 

E.E.Nikitin and L.Pitaevski, Calculation of the Eandau quasi-classical exponent from the Fourier components of classical functions, Phys. Rev. A 49, 695 (1994)... 

Because the first models of the physics of superconductivity were based on the phenomenon of Bose-Einstein condensation (BEC) it is not surprising that the existence of the Josephson effect has also been postulated for cold-atom systems in the BEC state [11]. In both superconductors and BEC cold-atom systems, the Josephson effect arises from the approximation of non-conservation of particle number, which gives rise to a phase type of order parameter F(x) and concomitant wave phenomena, described at T = 0 by the Gross-Pitaevski equation " ... 

If, on the contrary, anharmonicity is weak ( A particle states. But inside the band of two-particle states, as shown by Pitaevsky (38), only weakly bound states of biphonons are formed (even for the smallest value of A it is necessary, of course, that the value of the binding energy of the biphonon be greater than the width 6 of the phonon level regarding the feasibility of observing the states discussed by Pitaevsky(38), see below). 

Qualitatively the same result may be obtained if one utilizes more strict treatment of molecular interactions in disperse systems. This approach is based on the so-called macroscopic theory of van der Waals forces developed by E.M. Lifshitz, I.E. Dzyaloshinski and L.P. Pitaevski [14], In contrast to Hamaker s microscopic theory, the macroscopic theory does not use a simplified assumption of additivity of interactions between molecules, on which their summation is based (see Chapter I, 2). Mutual influence of molecules in condensed phases on each other may alter polarizabilities and ionization energies, making them different from those established for isolated molecules, which results in molecular interactions being not fully additive. 

Com, M., 1966, in Davies, C.N. ed. Aerosol Science Academic Press, New York. Deijaguin, B.V. and Landau, L.O., 1941, Theory of the stability of strongly charged lyophobic solutions and of adhesion of strongly charged particles in solutions of electrolytes. Acta Physicochim. USSR, 14, 633. Dzyaloshinskii, I.E., Lifshitz. E.M., Pitaevski, L.P., 1961, Adv. Phys. 10, 165. Hamaker, H.C., 1937, The London-van der Waals attraction between spherical particles. Physica (Utrecht) 4, 1058. 

Dzyaloshinski, Lifshitz, and.Pitaevski (5) have quantified van der Waals interactions using the methods of quantum field electrodynamics, characterizing the potentials by summation over dielectric susceptibility functions over all frequencies. This approach generally is referred to as the Lifshitz theory. The van der Waals force at small separations (less than 5 nm), at zero temperature (K), and between two materials (designated by subscripts 1 and 2) immersed in a third medium (designated by subscript 3) can be written... 

Pitaevsky, 1962 Bibemian, Gudzenko Yakovlenko, 1978 Vorobiev, Yakubov, 1979) ... 

E.M. Lifshitz and L.P. Pitaevsky, Physical Kinetics, Pergamon Press (1981). 

Dzyaloshinskii, I.E., Lifshitz, E.M., and Pitaevski, L.P, Van der Waals forces in liquid films, Soviet Phys. JETP, 37, 161, 1960. 

It nevertheless produces a non-linear Schrodinger equation known as Gross-Pitaevsky (GP) equation (Gross, 1961 Pitaevsky, 1961)... 

The natural question arises whether the two type equations, Kohn-Sham and Gross-Pitaevsky, may be seen as equivalent, and in which conditions The present article likes to address such important issue in the nowadays pioneering developments of DFT of EEC (Vetter, 1997 Nunes, 1999 Albus et al., 2003 Kim Zubarev, 2003 Brand, 2004 Aigaman Band, 2011 Putz, 2011b-c, 2012c). As such, the main plan of the paper consists in ... 

The last term of Eq. (1.197) vanishes through the left multiplication of (1.196) with E (r) followed by spatial integration since providing, in fact, the average of the fluctuation field, this way leaving the Eq. (1.196) with the so called modified Gross-Pitaevsky (Hartree-Fock) equation... 

Worth observing that Eq. (1.198) formally differs from the Landau version by the thermal density presence, p(r), yet noting that the original Gross-Pitaevsky equation is given in general by the terms of the superfluid wave-function... 

Putz, M. V. (2012c). From Kohn-Sham to Gross-Pitaevsky equation within Bose-Einstein condensation y-theory. Int. J. Chem. Model. 4(1), 1-11. 

Pitaevsky, L., Stringari, S. (2003). Bose-Einstein Condensation, Clarendon Press, Oxford. 

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