Differential calculus on manifolds with boundary applications-Reference-Cited by-同舟云学术

Differential calculus on manifolds with boundary applications

Published:2017-05-11 Issue:08 Volume:14 Page:1740003
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Ciaglia Florio Maria¹²,Cosmo Fabio Di¹²,Laudato Marco¹²³,Marmo Giuseppe¹²

Affiliation:

1. Dipartimento di Fisica “E. Pancini” dell Universitá, “Federico II” di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia, 80126 Naples, Italy

2. Sezione INFN di Napoli, Complesso Universitario di Monte S. Angelo, via Cintia, 80126 Naples, Italy

3. Turku Center for Quantum Physics, Department of Physics and Astronomy, University of Turku FIN-20014, Turun Yliopisto, Finland

Abstract

This paper contains a set of lecture notes on manifolds with boundary and corners, with particular attention to the space of quantum states. A geometrically inspired way of dealing with these kind of manifolds is presented, and explicit examples are given in order to clearly illustrate the main ideas.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887817400035

Reference29 articles.

1. Geometry of Quantum States

2. The Definition of Lie Derivative

3. Geometry from Dynamics, Classical and Quantum

4. Geometry of quantum systems: density states and entanglement

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