3,537 research outputs found
Two-dimensional Bose gas at low density
We propose a new method to describe the interacting bose gas at zero
temperature. We use the decomposition of the logarithm of the wave function
into the irreducible -point functions. We argue that in the low density
limit this expansion corresponds to the expansion of the ground-state energy in
powers of the small parameter. For three-dimensional system the correction to
the ground-state energy in density is reproduced. For two-dimensional dilute
bose gas the ground- state energy in the leading order in the parameter
|\ln\a^2\rho|^{-1} where \a is a scattering length is obtained.Comment: 16 pages, LaTex, report INR P-805/93 199
Baxter Q- operator and functional relations
We obtain the Baxter Q-operators in the invariant
integrable models as a special limits of the quantum transfer matrices
corresponding to different spins in the auxiliary space both from the
functional relations and from the explicit calculations. We derive the Baxter
equation from the well known fusion relations for the transfer matrices. Our
method is valid for an arbitrary integrable model corresponding to the quantum
group for example for the XXZ- spin chain.Comment: 10 pages, few comments adde
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