The Quantum Trihedron

doi:10.1088/0256-307X/33/11/110401

Chin. Phys. Lett.

2016, Vol. 33

Issue (11): 110401 DOI: 10.1088/0256-307X/33/11/110401

GENERAL

The Quantum Trihedron

A. Bendjoudi, N. Mebarki^**

Laboratoire de Physique Mathématique et Subatomique, Frères Mentouri University, Constantine 25000, Algeria

Cite this article:

A. Bendjoudi, N. Mebarki 2016 Chin. Phys. Lett. 33 110401

Download: PDF(426KB) PDF(mobile)(KB) HTML
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract The convex hull on three points in two-dimensional Euclidean space of three flat edges (trihedron) is studied. The Bohr–Sommerfeld quantization of the area of space is performed. It is shown that it reproduces exactly the equidistant spacing spectrum found elsewhere.

Received: 14 April 2016 Published: 28 November 2016

PACS:	04.60.Pp	(Loop quantum gravity, quantum geometry, spin foams)
	04.60.Nc	(Lattice and discrete methods)
	03.65.Sq	(Semiclassical theories and applications)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/10.1088/0256-307X/33/11/110401 OR https://cpl.iphy.ac.cn/Y2016/V33/I11/110401

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	A. Bendjoudi
	N. Mebarki

[1]	Rovelli C 2004 Quantum Gravity (Cambridge: Cambridge University Press)
[2]	Rovelli C and Vidotto F 2014 Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory (Cambridge: Cambridge University Press)
[3]	Bianchi E, Dona P and Speziale S 2011 Phys. Rev. D 83 044035
[4]	Minkowski H 1903 Mathematische Vorlesungen an der Universitat Gottingen pp 1–19
[5]	Kapovich M and Millson J 1996 J. Diff. Geom. 44 479
[6]	Bianchi E and Haggard H M 2011 Phys. Rev. Lett. 107 011301
[7]	Aquilanti V, Haggard H M, Littlejohn R G and Yu L 2007 J. Phys. A 40 5637
[8]	Polychronakos A P 2004 Phys. Rev. D 69 044010
[9]	Ponzano G and Regge T 1968 Spectroscopy and Group Theoretical Methods in Physics edn Bloch F et al (Amsterdam: North-Holland)
[10]	Rovelli C and Smolin L 1995 Nucl. Phys. B 442 593
[11]	Frittelli S, Lehner L and Rovelli C 1996 Class. Quantum Grav. 13 2921

Related articles from Frontiers Journals

[1]	Sara Benchikh, Noureddine Mebarki, Dalel Aberkane. Dynamical Study of a Constant Viscous Dark Energy Model in Classical and Loop Quantum Cosmology[J]. Chin. Phys. Lett., 2016, 33(05): 110401
[2]	XIONG Hua-Hui, ZHU Jian-Yang* . Effect of the Inverse Volume Modification in Loop Quantum Cosmology[J]. Chin. Phys. Lett., 2011, 28(3): 110401
[3]	CHEN Ju-Hua, , ZHOU Sheng, WANG Yong-Jiu, . Evolution of Interacting Viscous Dark Energy Model in Einstein Cosmology**[J]. Chin. Phys. Lett., 2011, 28(2): 110401
[4]	SHAO Dan, SHAO Liang, SHAO Chang-Gui, NODA Huzio. Entanglement of Area Quantums in Quantized Space[J]. Chin. Phys. Lett., 2008, 25(1): 110401

Viewed

Full text

Abstract