5,175 research outputs found
Fedosov supermanifolds: II. Normal coordinates
The study of recently introduced Fedosov supermanifolds is continued. Using
normal coordinates, properties of even and odd symplectic supermanifolds
endowed with a symmetric connection respecting given sympletic structure are
studied.Comment: 12 pages, Late
Parameter symmetries of quantum many-body systems
We analyze the occurrence of dynamically equivalent Hamiltonians in the
parameter space of general many-body interactions for quantum systems,
particularly those that conserve the total number of particles. As an
illustration of the general framework, the appearance of parameter symmetries
in the interacting boson model-1 and their absence in the Ginocchio SO(8)
fermionic model are discussed.Comment: 8 pages, REVTeX, no figur
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