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We introduce semiclassical methods into the study of the volume spectrum in loop gravity.
T. Regge, “Symmetry Properties of Racah’s Coefficients,” Nuovo Cim
1959
Earlier work this paper cites.
Jerusalem: Israel Program for Scientific Translations, 1962
A. P. Yutsis, I. B. Levinson, and V. V. Vanagas The Theory of Angular Momentum · 1962
Earlier work this paper cites.
A. Chakrabarti, “On the coupling of 3 angular momenta,” Ann. Henri Poincaré
1964
Earlier work this paper cites.
J. Lévy-Leblond and M. Lévy-Nahas, “Symmetrical coupling of three angular momenta,” J. Math. Phys
1965
Earlier work this paper cites.
C. Rovelli and L. Smolin, “Discreteness of area and volume in quantum gravity,” Nuc. Phys. B
1995
Earlier work this paper cites.
R. de Pietri and C. Rovelli, “Geometry eigenvalues and the scalar product from recoupling theory in loop quantum gravity,” Phys. Rev. D
1996
Earlier work this paper cites.
M. Kapovich and J. J. Millson, “The symplectic geometry of polygons in Euclidean space,” J. Diff. Geom
1996
Earlier work this paper cites.
N. Grot and C. Rovelli, “Moduli-space structure of knots with intersections,” J. Math. Phys
1996
Earlier work this paper cites.
Westview Press, 1997
M. Brack and R. Bhaduri, Semiclassical Physics · 1997
Earlier work this paper cites.
A. Ashtekar and J. Lewandowski, “Differential geometry on the space of connections via graphs and projective limits,” Journal of Geometry and Physics
1998
Earlier work this paper cites.
T. Thiemann, “Closed formula for the matrix elements of the volume operator in canonical quantum gravity,” J. Math. Phys
1998
Earlier work this paper cites.
A. Barbieri, “Quantum tetrahedra and simplicial spin networks,” Nuclear Physics B
1998
Earlier work this paper cites.
J. C. Baez and J. W. Barrett, “The Quantum tetrahedron in three-dimensions and four-dimensions,” Adv.Theor.Math.Phys
1999
Cited alongside, same era.
S. A. Major, “Operators for quantized directions,” Classical and Quantum Gravity
1999
Cited alongside, same era.
Springer, 1999
J. E. Marsden and T. S. Ratiu, Introduction to Mechanics and Symmetry · 1999
Cited alongside, same era.
J. Roberts, “Classical 6j-symbols and the tetrahedron,” Geom. Top
1999
Cited alongside, same era.
G. Carbone, M. Carfora, and A. Marzuoli, “Quantum states of elementary three-geometry,” Classical and Quantum Gravity
2002
Cited alongside, same era.
Cambridge University Press, 2004
C. Rovelli, Quantum Gravity · 2004
Cited alongside, same era.
J. Brunnemann and D. Rideout, “Properties of the volume operator in loop quantum gravity: I. Results,” Classical and Quantum Gravity
2008
Later among the works it cites.
J. Brunnemann and D. Rideout, “Properties of the volume operator in loop quantum gravity: II. Detailed presentation,” Classical and Quantum Gravity
2008
Later among the works it cites.
F. Conrady and L. Freidel, “Quantum geometry from phase space reduction,” J.Math.Phys
2009
Later among the works it cites.
R. G. Littlejohn and L. Yu, “Uniform semiclassical approximation for the Wigner 6 j 6j -symbol in terms of rotation matrices,” J. Phys. Chem. A
2009
Later among the works it cites.
F. Girelli and E. R. Livine, “Reconstructing quantum geometry from quantum information: spin networks as harmonic oscillators,” Clas. and Quant. Grav
2010
Later among the works it cites.
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A. Ashtekar and J. Lewandowski, “Background independent quantum gravity: a status report,” Classical and Quantum Gravity
2004
Cited alongside, same era.
W. Fairbairn and C. Rovelli, “Separable Hilbert space in loop quantum gravity,” Journal of Mathematical Physics
2004
Cited alongside, same era.
K. A. Meissner, “Eigenvalues of the volume operator in loop quantum gravity,” Class. Quant. Grav
2006
Cited alongside, same era.
J. Brunnemann and T. Thiemann, “Simplification of the spectral analysis of the volume operator in loop quantum gravity,” Classical and Quantum Gravity
2006
Cited alongside, same era.
Cambridge Univ. Press, 2007
T. Thiemann, Modern Canoncial Quantum General Relativity · 2007
Cited alongside, same era.
V. Aquilanti, H. M. Haggard, R. G. Littlejohn, and L. Yu, “Semiclassical analysis of Wigner 3 j 3j -symbol,” J. Phys. A
2007
Cited alongside, same era.
L. Freidel and S. Speziale, “Twisted geometries: A geometric parametrization of SU(2) phase space,” Phys. Rev. D
2010
Later among the works it cites.
S. A. Major, “Shape in an atom of space: exploring quantum geometry phenomenology,” Class. Quant. Grav
2010
Later among the works it cites.
E. Bianchi and H. M. Haggard, “Discreteness of the Volume of Space from Bohr-Sommerfeld Quantization,” Physical Review Letters
2011
Later among the works it cites.
C. Rovelli, “Loop quantum gravity: the first twenty five years,” Class.Quant.Grav
2011
Later among the works it cites.
E. Bianchi, P. Doná, and S. Speziale, “Polyhedra in loop quantum gravity,” Phys. Rev. D
2011
Later among the works it cites.
V. Aquilanti, H. M. Haggard, A. Hedeman, N. Jeevanjee, R. G. Littlejohn, and L. Yu, “Semiclassical Mechanics of the Wigner 6 j 6j -Symbol,” J. Phys. A:Math. Theor
2012
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2019
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