2021/08/24 by Sivapalan Chelvaniththilan, Chelvaniththilan, Sivapalan
Business, Management and Accounting · Computer Science · Mathematics · #Constraint Satisfaction and Optimization #FOS: Physical sciences #Mathematics and Applications #Optics and Image Analysis #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2108.11330
openalex publication_date 2021/08/24 · openalex created_date 2021/08/30 · openalex updated_date 2026/07/28
The Hamiltonian and Lagrangian formalisms of Qunatum Field Theory (QFT) are equivalent. But while Lorentz invariance can be clearly seen in the Lagrangian formalism, it is not so explicit in the Hamiltonian one. This is because time is treated a little differently from the spatial coordinates in the Hamiltonian formalism. In this paper, I explore whether it is possible to devise another formalism that is just like the Hamiltonian one (with operators and state vectors) but which treats time on an equal footing with two of the spatial coordinates, while the third one is treated differently, the way time is in the usual Hamiltonian formalism.