@article {4361,
title = {Solvable three-boson model with attractive delta-function interactions},
journal = {Physical Review A},
volume = {57},
number = {5},
year = {1998},
note = {ISI Document Delivery No.: ZM869Times Cited: 22Cited Reference Count: 34},
month = {May},
pages = {3317-3329},
type = {Article},
abstract = {A one-parameter solvable model for three bosons subject to delta-function attractive interactions in one dimension with periodic boundary conditions is studied. The energy levels and wave functions are classified and given explicitly in terms of three momenta. In particular, eigenstates and eigenvalues are described as functions of the model parameter c. Some of the states are given in terms of complex momenta and represent dimer or trimer configurations for large negative c. The asymptotic behavior for small and large values of the parameter, and at thresholds between real and complex momenta, is provided. The properties of the potential energy are also discussed.},
keywords = {DYNAMICS, LIPPMANN-SCHWINGER EQUATION, MANY-BODY PROBLEM, ONE DIMENSION, SCATTERING},
isbn = {1050-2947},
url = {://000073584500026},
author = {Muga, J. G. and Snider, R. F.}
}
@article {3548,
title = {CORRELATED-STATE EVALUATION OF THE 2ND VIRIAL-COEFFICIENT},
journal = {Physical Review A},
volume = {52},
number = {4},
year = {1995},
note = {ISI Document Delivery No.: TA424Times Cited: 10Cited Reference Count: 29},
month = {Oct},
pages = {2925-2934},
type = {Article},
abstract = {The difference R(z) between the resolvents of the interacting and free Hamiltonians is inherently associated with (pair) particle correlations and can also be used for the evaluation of the second virial coefficient. This paper explores the operator properties of R(z) and the analytical continuation of its momentum matrix elements. Correlated-state wave functions are identified when making a pole expansion of the analytically continued matrix elements. These square-integrable wave functions have a one-to-one correspondence with resolvent poles, and as such are associated with resonance-bound-, and virtual-state momenta. Their properties and use in evaluating the second virial coefficient are discussed. Except for the bound states, these wave functions are not eigenvectors of the interacting Hamiltonian. The separable Yamaguchi potential is used to illustrate these properties.},
keywords = {HIGH TEMPERATURES, ONE DIMENSION},
isbn = {1050-2947},
url = {://A1995TA42400059},
author = {Wei, G. W. and Snider, R. F.}
}
@article {3168,
title = {PROPERTIES OF THE TRANSITION SUPEROPERATOR},
journal = {Canadian Journal of Physics},
volume = {72},
number = {3-4},
year = {1994},
note = {ISI Document Delivery No.: NJ809Times Cited: 2Cited Reference Count: 17},
month = {Mar-Apr},
pages = {152-161},
type = {Article},
abstract = {Two different transition superoperators naturally arise in physical theories. First, there is the abstract transition superoperator that arises in the quantum Boltzmann equation and collision cross sections. Second, there is a transition superoperator that arises in the theory of spectral line broadening. The latter is parameterized by the frequency of the light being observed. At present the standard method of evaluating the effects of transition superoperators is through the use of transition operators. However, the connection between transition superoperators and operators has been the subject of controversy while the diversity of transition superoperators and operators can be confusing. This paper reviews the basic definitions and methods of relating these quantities, exemplifying these properties by using a separable potential with explicit calculations for a particular one-dimensional model. In this way the validity of previously presented abstract mathematical arguments is demonstrated explicitly.},
keywords = {CONTINUOUS-SPECTRUM, ONE DIMENSION, SCATTERING},
isbn = {0008-4204},
url = {://A1994NJ80900010},
author = {Snider, R. F. and Muga, J. G.}
}