61 citations · 154 across the 10 of their papers we have counts for
10 papers
An off-shell conformally invariant Galilean Weyl tensor
Quentin Vigneron, Philip K. Schwartz, James Read
We propose a manifestly conformally invariant off-shell definition of the Weyl tensor in Galilean geometry. We also propose definitions for the electric and magnetic parts thereof.…
Weyl-type theorems in Galilei and Carroll geometry
Philip K. Schwartz, James Read, Quentin Vigneron
A classic theorem of Weyl (1921) states that a Weyl metric -- a natural generalisation of a pseudo-Riemannian metric -- is uniquely determined by its conformal and projective struc…
Atom interferometers in weakly curved spacetimes using Bragg diffraction and Bloch oscillations
Michael Werner, Philip K. Schwartz, Jan-Niclas Kirsten-Siemß +3
We present a systematic approach to determine all relativistic phases up to in light-pulse atom interferometers in weakly curved spacetime that are based on e…
Geometric post-Newtonian description of massive spin-half particles in curved spacetime
Ashkan Alibabaei, Philip K. Schwartz, Domenico Giulini
We consider the Dirac equation coupled to an external electromagnetic field in curved four-dimensional spacetime with a given timelike worldline representing a classical clock.…
Teleparallel Newton--Cartan gravity
Philip K. Schwartz
We discuss a teleparallel version of Newton--Cartan gravity. This theory arises as a formal large-speed-of-light limit of the teleparallel equivalent of general relativity (TEGR).…
Coupling Quantum Matter and Gravity
Domenico Giulini, André Großardt, Philip K. Schwartz
In this contribution we deal with several issues one encounters when trying to couple quantum matter to classical gravitational fields. We start with a general background discussio…
Post-Newtonian Description of Quantum Systems in Gravitational Fields
Philip K. Schwartz
This thesis deals with the systematic treatment of quantum-mechanical systems in post-Newtonian gravitational fields. Starting from clearly spelled-out assumptions, employing a fra…
Classical perspectives on the Newton--Wigner position observable
Philip K. Schwartz, Domenico Giulini
This paper deals with the Newton--Wigner position observable for Poincaré-invariant classical systems. We prove an existence and uniqueness theorem for elementary systems that para…
Post-Newtonian Hamiltonian description of an atom in a weak gravitational field
Philip K. Schwartz, Domenico Giulini
We extend the systematic calculation of an approximately relativistic Hamiltonian for centre of mass and internal dynamics of an electromagnetically bound two-particle system by So…
Post-Newtonian corrections to Schrödinger equations in gravitational fields
Philip K. Schwartz, Domenico Giulini
In this paper we extend the WKB-like `non-relativistic' expansion of the minimally coupled Klein--Gordon equation after Kiefer and Singh [1], Lämmerzahl [2] and Giulini and Großard…