39 citations · 114 across the 7 of their papers we have counts for
7 papers
Spacetime quantum mechanics for bosonic and fermionic systems
N. L. Diaz, R. Rossignoli
We provide a Hilbert space approach to quantum mechanics where space and time are treated on an equal footing. Our approach replaces the standard dependence on an external classica…
Spacetime quantum and classical mechanics with dynamical foliation
N. L. Diaz, J. M. Matera, R. Rossignoli
The conventional phase space of classical physics treats space and time differently, and this difference carries over to field theories and quantum mechanics (QM). In this paper, t…
Parallel-in-time quantum simulation via Page and Wootters quantum time
N. L. Diaz, Paolo Braccia, Martin Larocca +3
In the past few decades, researchers have created a veritable zoo of quantum algorithms by drawing inspiration from classical computing, information theory, and even from physical…
Path Integrals from Spacetime Quantum Actions
N. L. Diaz, J. M. Matera, R. Rossignoli
The possibility of extending the canonical formulation of quantum mechanics (QM) to a space-time symmetric form has recently attracted wide interest. In this context, a recent prop…
Spacetime Quantum Actions
N. L. Diaz, J. M. Matera, R. Rossignoli
We propose a formulation of quantum mechanics in an extended Fock space in which a tensor product structure is applied to time. Subspaces of histories consistent with the dynamics…
History state formalism for scalar particles
N. L. Diaz, J. M. Matera, R. Rossignoli
We present a covariant quantum formalism for scalar particles based on an enlarged Hilbert space. The particular physical theory can be introduced through a timeless Wheeler DeWitt…
History state formalism for Dirac's theory
N. L. Diaz, R. Rossignoli
We propose a history state formalism for a Dirac particle. By introducing a reference quantum clock system it is first shown that Dirac's equation can be derived by enforcing a tim…