We present results of a high-resolution imaging survey of barred S0–Sa galaxies which demonstrate that the central regions of these galaxies are surprisingly complex. We see many inner bars — small, secondary bars (typically less than a kiloparsec in radius) located inside of, and probably rotating faster than, the large primary bars. These are present in about one quarter to one third of all o...

Even if the electromagnetic field does not create pairs, virtual pairs lead to the appearance of a phase in vacuum-vacuum amplitude. This makes it necessary to distinguish the inand out-solutions even when it is commonly assumed that there is only one complete set of solutions as, for example, in the case of a constant magnetic field. Then inand out-solutions differ only by a phase factor which...

We begin with personal notes describing the atmosphere of " Bogoliubov renormalization group " birth. Then we expose the history of RG discovery in the QFT and of the RG method devising in the mid-fifties. The third part is devoted to proliferation of RG ideas into diverse parts of theoretical physics. We conclude with discussing the perspective of RG method further development and its applicat...

We provide a general method for constructing bosonic Bogoliubov transformations that diagonalize class of quadratic Hamiltonians. These Hamiltonians describe the pair interaction models. are constructed algebraically, and resulting become second quantizations explicit one-particle Moreover, an formula ground state energies is given. Our systematically diagonalizes various models quantum field t...

The Relativistic Continuum Hartree Bogoliubov theory ( RCHB ), which is the extension of the Relativistic Mean Field and the Bogoliubov transformation in the coordinate representation, has been used to study tin isotopes. The pairing correlation is taken into account by a density-dependent force of zero range. RCHB is used to describe the even-even tin isotopes all the way from the proton drip ...

We show that the Bogoliubov-de Gennes equations for nuclear ground-state wave functions support solutions in which the condensate has a mixture of spin-singlet and spin-triplet pairing. We find that such mixed-spin condensates do not occur when there are equal numbers of neutrons and protons, but only when there is an isospin imbalance. Using a phenomenological Hamiltonian, we predict that such...

We investigate Hawking radiation from two-dimensional dilatonic black holes using standard quantization techniques. In the background of a collapsing black hole solution the Bogoliubov coefficients can be exactly determined. In the regime after the black hole has settled down to an ‘equilibrium’ state but before the backreaction becomes important these give the known result of a thermal distrib...

We present a mapping of elementary fermion operators onto a quadratic form of composite fermionic and bosonic cluster operators. The mapping is an exact isomorphism as long as the physical constraint of one composite particle per cluster is satisfied. This condition is treated on average in a composite particle mean-field approach, which consists of an ansatz that decouples the composite fermio...

Bose-Einstein condensates subject to short pulses “kicks” from standing waves of light represent a nonlinear analog of the well-known chaos paradigm, the quantum kicked rotor. Previous studies of the onset of dynamical instability i.e., exponential proliferation of noncondensate particles suggested that the transition to instability might be associated with a transition to chaos. Here we conclu...