Quantization as a dimensional reduction phenomenon
E. Gozzi, D. Mauro
Abstract
Classical mechanics, in the operatorial formulation of Koopman and von Neumann, can be written also in a functional form. In this form two Grassmann partners of time make their natural appearance extending in this manner time to a three dimensional supermanifold. Quantization is then achieved by a process of dimensional reduction of this supermanifold. We prove that this procedure is equivalent to the well-known method of geometric quantization.
Create a lesson
Related papers
An entangling Hubbard quasiparticle collider on a digital quantum processor
Chan Bin Bark, Hanbyul Kim, Yoonil Koo et al.
A Warped Born Rule Turns an Observer into a Maxwell's Demon
Olumakinde Ogunnaike
A scalable sample-based quantum diagonalization solver for general Pauli-sum Hamiltonians
Yutaro Iiyama
Quantum Query Complexity of Maximum Degree and its Generalizations
Amin Shiraz Gilani, Nikhil S. Mande, Subhasree Patro et al.
Maximally antiflat fixed-particle-number fermionic states
Rahul Gupta, Arya Haghighian, James D. Whitfield
An Annealing-based Quantum Neural Network with Discrete Wavelet Transforms for Enhanced Air Pollution Nowcasting
Otto Menegasso Pires, André Saimon, Daniela Herrmann et al.