abstract

• In these brief notes we analyze an associative product for (n - 1)- forms in the polymomentum phase space which is necessary in order to complete the deformation quantization scheme within the context of the multisymplectic formalism. In particular, we identify certain conditions that the proposed product must follow to generate a Moyal bracket induced from the Gerstenhaber bracket naturally emerging within this context. © Published under licence by IOP Publishing Ltd.

authors

• Berra Montiel Oscar Jasel
• Molgado Ramos Alberto
• Serrano-Blanco D.

publication date

• 2018-01-01

funding provided via

• Consejo Nacional de Ciencia y Tecnología, CONACYT: CB-2014-243433  Grant

published in

• Journal of Physics: Conference Series  Journal

keywords

• Hamiltonians; Mechanics; Phase space methods; Quantum theory; Covariant; Hamiltonian formalism; Multi-symplectic; Quantization schemes; Gravitation

Digital Object Identifier (DOI)

• 10.1088/1742-6596/1030/1/012002

start page

end page

volume

• 1030

issue

• 1