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Quark-nuclear matter (QNM) is a many-body system containing hadrons anddeconfined quarks. Starting from a microscopic quark-meson coupling (QMC)Hamiltonian with a density dependent quark-quark interaction, an effectivequark-hadron Hamiltonian is constructed via a mapping procedure. The mapping isimplemented with a unitary operator such that composites are redescribed byelementary-particle field operators that satisfy canonical commutationrelations in an extended Fock space. Application of the unitary operator to themicroscopic Hamiltonian leads to effective, hermitian operators that have aclear physical interpretation. At sufficiently high densities, the effectiveHamiltonian contains interactions that lead to quark deconfinement. Theequation of state of QNM is obtained using standard many-body techniques withthe effective quark-hadron Hamiltonian. At low densities, the model isequivalent to a QMC model with confined quarks. Beyond a critical density, whenquarks start to deconfine, the equation of state predicted for QNM is softerthan the QMC equation of state with confined quarks.Comment: 10 pages, ws-procs9x6.cls (included), 2 eps figures, to appear in the  Proceedings of the Joint CSSM/JHF Workshop, Adelaide, March 14-21, 200

EQUATION OF STATE OF QUARK-NUCLEAR MATTER