Espinosa, Luis A DuffautMiao, ZiboPetersen, Ian RUgrinovskii, Valery AJames, Matthew2015-12-13November 19781922107633http://hdl.handle.net/1885/82961This paper considers the physical realizability condition for multi-level quantum systems having polynomial Hamiltonian and multiplicative coupling with respect to several interacting boson fields. Specifically, it generalizes a recent result the authorsKeywords: Interacting bosons; Physical realizability; Polynomial Hamiltonians; Quantum system; Structure constants; Quantum electronics; Quantum optics; Hamiltonians20122016-02-24