57 research outputs found
Boson Dominance in nuclei
We present a new method of bosonization of fermion systems applicable when
the partition function is dominated by composite bosons. Restricting the
partition function to such states we get an euclidean bosonic action from which
we derive the Hamiltonian. Such a procedure respects all the fermion
symmetries, in particular fermion number conservation, and provides a boson
mapping of all fermion operators.Comment: 12 page
Hermitian boson mapping and finite truncation
Starting from a general, microscopic fermion-to-boson mapping that preserves
Hermitian conjugation, we discuss truncations of the boson Fock space basis. We
give conditions under which the exact boson images of finite fermion operators
are also finite (e.g., a 1+2-body fermion Hamiltonian is mapped to a 1+2-body
boson Hamiltonian) in the truncated basis. For the most general case, where the
image is not necessarily exactly finite, we discuss how to make practical and
controlled approximations.Comment: 12 pages in RevTex with no figures, Los Alamos preprint #
LA-UR-94-146
Few-Body States in Fermi-Systems and Condensation Phenomena
Residual interactions in many particle systems lead to strong correlations. A
multitude of spectacular phenomenae in many particle systems are connected to
correlation effects in such systems, e.g. pairing, superconductivity,
superfluidity, Bose-Einstein condensation etc. Here we focus on few-body bound
states in a many-body surrounding.Comment: 10 pages, proceedings 1st Asian-Pacific Few-Body Conference, needs
fbssuppl.sty of Few-Body System
Applicability of self-consistent mean-field theory
Within the constrained Hartree-Fock (CHF) theory, an analytic condition is
derived to estimate whether a concept of the self-consistent mean field is
realized or not in level repulsive region. The derived condition states that an
iterative calculation of CHF equation does not converge when the quantum
fluctuations coming from two-body residual interaction and quadrupole
deformation become larger than a single-particle energy difference between two
avoided crossing orbits. By means of the numerical calculation, it is shown
that the analytic condition works well for a realistic case.Comment: 11 pages, 8 figure
q- Deformed Boson Expansions
A deformed boson mapping of the Marumori type is derived for an underlying
algebra. As an example, we bosonize a pairing hamiltonian in a two
level space, for which an exact treatment is possible. Comparisons are then
made between the exact result, our q- deformed boson expansion and the usual
non - deformed expansion.Comment: 8 pages plus 2 figures (available upon request
Single Boson Images Via an Extended Holstein Primakoff Mapping
The Holstein-Primakoff mapping for pairs of bosons is extended in order to
accommodate single boson mapping. The proposed extension allows a variety of
applications and especially puts the formalism at finite temperature on firm
grounds. The new mapping is applied to the O(N+1) anharmonic oscillator with
global symmetry broken down to O(N). It is explicitly demonstrated that
N-Goldstone modes appear. This result generalizes the Holstein-Primakoff
mapping for interacting boson as developed in ref.[1].Comment: 9 pages, LaTeX. Physical content unchanged. Unnecessary figure
remove
Boson Expansion Methods in (1+1)-dimensional Light-Front QCD
We derive a bosonic Hamiltonian from two dimensional QCD on the light-front.
To obtain the bosonic theory we find that it is useful to apply the boson
expansion method which is the standard technique in quantum many-body physics.
We introduce bilocal boson operators to represent the gauge-invariant quark
bilinears and then local boson operators as the collective states of the
bilocal bosons. If we adopt the Holstein-Primakoff type among various
representations, we obtain a theory of infinitely many interacting bosons,
whose masses are the eigenvalues of the 't Hooft equation. In the large
limit, since the interaction disappears and the bosons are identified with
mesons, we obtain a free Hamiltonian with infinite kinds of mesons.Comment: 20 pages, latex, no figures, journal version (no significant
changes), to appear in Phys. Rev.
Dirac Sea Effects on Superfluidity in Nuclear Matter
We study two kinds of Dirac sea effects on the pairing gap in nuclear
matter based on the relativistic Hartree approximation to quantum hadrodynamics
and the Gor'kov formalism. We show that the vacuum fluctuation effect on the
nucleon effective mass is more important than the direct coupling between the
Fermi sea and the Dirac sea due to the pairing interaction. The effects of the
high-momentum cutoff are also discussed.Comment: 11 pages, 3 eps figures included, uses REVTeX (with \tightenlines
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