Consistent quantization of nearly singular superconducting circuits

M Rymarz, DP DiVincenzo - Physical Review X, 2023 - APS
The theory of circuit quantum electrodynamics has successfully analyzed superconducting
circuits on the basis of the classical Lagrangian, and the corresponding quantized …

[图书][B] Classical and quantum dynamics of constrained Hamiltonian systems

HJ Rothe, KD Rothe - 2010 - books.google.com
This book is an introduction to the field of constrained Hamiltonian systems and their
quantization, a topic which is of central interest to theoretical physicists who wish to obtain a …

[图书][B] Symmetries in fundamental physics

K Sundermeyer - 2014 - Springer
I like sailing. On many of my sailing trips I join my former colleague and friend Frieder 1, who
is an electrical engineer by education. You can imagine that especially if the wind has …

Symmetry algebras in Chern-Simons theories with boundary: Canonical approach

MI Park - Nuclear Physics B, 1999 - Elsevier
I consider the classical Kac-Moody algebra and Virasoro algebra in Chern-Simons theory
with boundary within Dirac's canonical method and Noether's procedure. It is shown that the …

On Dirac's incomplete analysis of gauge transformations

JM Pons - Studies in History and Philosophy of Science Part B …, 2005 - Elsevier
Dirac's approach to gauge symmetries is discussed. We follow closely the steps that led him
from his conjecture concerning the generators of gauge transformations at a given time—to …

Canonical quantization of cosmological perturbations in the one-bubble open universe

J Garriga, X Montes, M Sasaki, T Tanaka - Nuclear Physics B, 1998 - Elsevier
Faddeev and Jackiw's method for constrained systems is used to derive a gauge invariant
formulation of cosmological perturbations in the one-bubble inflationary universe. For scalar …

[HTML][HTML] On the canonical formulation of gauge field theories and Poincaré transformations

DN Blaschke, F Gieres - Nuclear Physics B, 2021 - Elsevier
We address the Hamiltonian formulation of classical gauge field theories while putting
forward results some of which are not entirely new, though they do not appear to be well …

Canonical analysis and modified Faddeev-Jackiw approach for the Jackiw-Teitelboim model in two dimensions

JM Cabrera, JMP Fuentes - Physica Scripta, 2023 - iopscience.iop.org
This article presents an analysis of the constraints of the Jackiw-Teitelboim model in two
dimensions via the canonical analysis using the Dirac algorithm and modified Faddeev …

Non-equivalence of Faddeev–Jackiw method and Dirac–Bergmann algorithm and the modification of Faddeev–Jackiw method for keeping the equivalence

L Liao, YC Huang - Annals of Physics, 2007 - Elsevier
From the angle of the calculation of constraints, we compare the Faddeev–Jackiw method
with Dirac–Bergmann algorithm, study the relations between the Faddeev–Jackiw …

Higher-derivative non-Abelian gauge fields via the Faddeev–Jackiw formalism

R Bufalo, BM Pimentel - The European Physical Journal C, 2014 - Springer
In this paper we analyze two higher-derivative theories, the generalized electrodynamics
and the Alekseev–Arbuzov–Baikov effective Lagrangian from the point of view of the …