INVESTIGADORES
HOLIK Federico Hernan
artículos
Título:
A formal framework for the study of the notion of unde ned particle number in quantum mechanics
Autor/es:
NEWTON DA COSTA; FEDERICO HOLIK
Revista:
SYNTHESE (DORDRECHT)
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2015 vol. 192 p. 505 - 523
ISSN:
0039-7857
Resumen:
It is usually stated that quantummechanics presents problemswith the iden-tity of particles, the most radical position?supported by E. Schrödinger?asserting that elementary particles are not individuals. But the subject goes deeper, and it is even possible to obtain states with an undefined particle number. In this work we present a set theoretical framework for the description of undefined particle number states in quantum mechanics which provides a precise logical meaning for this notion. This construction goes in the line of solving a problem posed by Y. Manin, namely, to incorporate quantum mechanical notions at the foundations of mathematics. We also show that our system is capable of representing quantum superpositions.