44 citations · 106 across the 9 of their papers we have counts for
6 papers · 1 filter
Geometric structures of the classical general relativistic phase space
Josef Janyška, Marco Modugno
This paper is concerned with basic geometric properties of the phase space of a classical general relativistic particle, regarded as the 1st jet space of motions, i.e. as the 1st j…
A covariant approach to the quantisation of a rigid body
M. Modugno, C. Tejero Prieto, R. Vitolo
This paper concerns the quantisation of a rigid body in the framework of ``covariant quantum mechanics'' on a curved spacetime with absolute time. The basic idea is to consider the…
The geometry of Newton's law and rigid systems
M. Modugno, R. Vitolo
We start by formulating geometrically the Newton's law for a classical free particle in terms of Riemannian geometry, as pattern for subsequent developments. In fact, we use this s…
Hermitian vector fields and special phase functions
Josef Janyška, Marco Modugno
We start by analysing the Lie algebra of Hermitian vector fields of a Hermitian line bundle. Then, we specify the base space of the above bundle by considering a Galilei, or an Ein…
Graded Lie algebra of Hermitian tangent valued forms
Josef Janyška, Marco Modugno
In the theory of so called "Covariant Quantum Mechanics" a basic role is played by Hermitian vector fields on a complex line bundle in the frameworks of Galilei and Einstein spacet…
Comparison between Geometric Quantisation and Covariant Quantum Mechanics
M. Modugno, C. Tejero Prieto, R. Vitolo
We compare the covariant formulation of Quantum Mechanics on a curved spacetime fibred on absolute time with the standard Geometric Quantisation.