3 papers
cond-mat.stat-mech1998
New bosonization scheme for spin systems in any dimension
Alexandra Ilinskaia, Kirill Ilinski
We present a new representation of spin operators in terms of bosonic creation-annihilation operators. This representation allows us to formulate a new field-theoretical descriptio…
solv-int1997
Comment on ``Equal-time temperature correlators of the one-dimensional Heisenberg XY chain'', preprint solv-int/9710028
Kirill Ilinski, Alexander Stepanenko
In the comment we give references to our papers where the problem was solved for more general case of time-dependent finite temperature correlators.
hep-th1995
Fractional dimensional Hilbert spaces and Haldane's exclusion statistics
K. N. Ilinski, J. M. F. Gunn
We examine the notion of Haldane's dimension and the corresponding statistics in a probabilistic spirit. Motivated by the example of dimensional-regularization we define the dimens…