Gerbes and Heisenberg’s Uncertainty Principle
نویسنده
چکیده
We prove that a gerbe with a connection can be defined on classical phase space, taking the U(1)–valued phase of Feynman path integrals as Čech 2–cocycles. A quantisation condition on the corresponding 3–form field strength is derived and proved to be equivalent to Heisenberg’s uncertainty principle.
منابع مشابه
Abelian Gerbes as a Gauge Theory of Quantum Mechanics on Phase Space
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تاریخ انتشار 2006