Book
- [K89] Dimensional reduction of gauge theories, spontaneous compactification
and model building.
By Yu.A. Kubyshin, I.P. Volobuev, J.M. Mourao, G.
Rudolph.
Lecture Notes in Physics, 349, Springer-Verlag,
Berlin 1989, 80p.
DOI: 10.1007/3-540-51917-3
Publications
- [M4N21]
Laughlin states change under large geometry deformations and imaginary time Hamiltonian dynamics.
By G. Matos, B. Mera, J. Mourao, P.D. Mourao
and J.P. Nunes.
Comm. Math. Phys. (2022)
arxiv:2107.11360.
DOI: https://doi.org/10.1007/s00220-022-04590-9.
- [KMNT19b]
Holomorphic fractional Fourier transforms.
By W. Kirwin, J. Mourao, J.P. Nunes and T. Thiemann.
arxiv:1905.04116.
- [KMNT19a]
Segal-Bargmann transforms from hyperbolic Hamiltonians.
By W. Kirwin, J. Mourao, J.P. Nunes and T. Thiemann.
J. Math. Anal. App. (2021) Vol. 500, 125146.
arxiv:1902.08751.
DOI: https://doi.org/10.1016/J.JMAA.2021.125146.
- [BMN17]
Picard group and quantization of toric orbifolds.
By T. Baier, J. Mourao and J.P. Nunes.
arxiv:1702.02626.
- [MNP20]
Partial coherent state transforms, G x T-invariant Kahler structures and geometric quantization of cotangent bundles of compact Lie groups,
.
By J. Mourao, J.P. Nunes and M. B. Pereira.
Adv. Math. 368 (2020) 107139.
DOI: 10.1016/j.aim.2020.107139
- [MNR19]
A new approximation method for geodesics on the space of Kaehler metrics.
By J. Mourao, J.P. Nunes and T. Reis.
Anal. Math. Phys. 9 (2019) 1927-1939.
DOI: 10.1007/s13324-019-00287-w
- [DMNQ18]
Clifford coherent state transforms on spheres.
By P. Dang, J. Mourao, J.P. Nunes and T. Qian.
J. Geom. Phys. 124 (2018) 225-232.
DOI: 10.1016/j.geomphys.2017.11.002
- [MNQ17]
Coherent state transforms and the Weyl equation in Clifford analysis.
By Jose Mourao, Joao P. Nunes and Tao Qian.
J. Math. Phys. 58 (2017) 013503.
DOI: 10.1063/1.4974449
-
[KMNQ16]
Extending coherent state transforms to Clifford analysis.
By William D. Kirwin, Jose Mourao, Joao P. Nunes and Tao Qian.
J. Math. Phys. 57 (2016) 103505.
DOI: 10.1063/1.4964448
-
[KMN16] Complex symplectomorphisms and pseudo-Kaehler islands in the quantization of toric manifolds
.
By W. D. Kirwin, J. M. Mourao and J. P. Nunes.
Mathematische Annalen 364 (2016) 1-28.
DOI:
10.1007/s00208-015-1205-0
-
[EMN15] Quantization in singular real polarizations: Kaehler regularization, Maslov correction and pairings.
By J. N. Esteves, J. M. Mourao and J. P. Nunes.
Journal of Physics A: Mathematical and Theoretical
(Fast Track Communication) 48 (2015), 22FT01.
DOI:
10.1088/1751-8113/48/22/22FT01
-
[MN15]
On complexified analytic Hamiltonian flows and geodesics on the space of Kaehler metrics.
By J. M. Mourao and J. P. Nunes.
Int. Math. Res. Notices 2015 (2015) 10624-10656.
DOI: 10.1093/imrn/rnv004
- [KMN14]
Coherent state transforms and the Mackey-Stone-Von Neumann theorem.
By W. Kirwin, J.Mourao and J.P. Nunes.
J. Math. Phys. 55 (2014), 102101.
DOI: 10.1063/1.4896816
- [KMN13a]
Complex time evolution in geometric quantization and generalized coherent state transforms.
By W. Kirwin, J.Mourao and J.P. Nunes.
J. Funct. Anal. 265 (2013) 1460-1493.
DOI: 10.1016/j.jfa.2013.06.021
- [KMN13b] Degeneration of Kaehler structures
and half-form quantization of toric varieties.
By W. Kirwin, J.Mourao and J.P. Nunes.
J. Symplectic Geom. 11 (2013) 603-643.
DOI: 10.4310/JSG.2013.v11.n4.a4
- [B13] Quantization of some moduli spaces of parabolic vector bundles on CP^1,
By I. Biswas, C. Florentino, J.Mourao and J.P. Nunes.
Ann. Glob. Anal. and Geometry 43 (2013) 161-176.
DOI: 10.1007/s10455-012-9340-2
- [B11] Toric Kaehler
metrics seen from infinity, quantization and compact tropical amoebas,
By T. Baier, C.Florentino, J.Mourao and J.P. Nunes.
Journ. Diff. Geom. Vol. 89 (2011) 411-454.
http://projecteuclid.org/euclid.jdg/1335207374
- [BMN10] Quantization of Abelian Varieties: distributional sections and the transition from Kaehler to real polarizations,
By T. Baier, J.Mourao and J.P. Nunes.
Journ. Funct. Anal. Vol. 258 (2010) 3388-3412.
DOI: 10.1016/j.jfa.2010.01.023
- [F06]
On the BKS pairing for Kahler quantizations of the cotangent bundle of a Lie group.
By C. Florentino, P. Matias, J. Mourao and J.P. Nunes.
Journ. Funct. Anal. Vol. 234 (2006) 180-198.
- [FMN06] Theta Functions, Geometric Quantization and Unitary Schottky Bundles,
By C.Florentino, J.Mourao and J.P. Nunes.
In "The Geometry of Riemann Surfaces and Abelian Varieties", Proceedings of the III Iberoamerican Congress on Geometry, Salamanca, June 2004, ed. J. M. M.Porras, S. Popescu and R. E. Rodriuez, Contemporary Mathematics Vol. 397 (2006) 55-73.
- [F05] Geometric quantization, complex structures and
the coherent state transform.
By C. Florentino, P. Matias, J. Mourao and J.P. Nunes.
J. Funct. Anal. 221 (2005) 303-322
- [FMN04] Coherent State Transforms and Theta Functions.
By C. Florentino, J. Mourao and J.P. Nunes.
Proc. Steklov Inst. Math. 246 (2004) 283-302.
- [FMN03] Coherent State Transforms and Vector Bundles on
Elliptic Curves
By C. Florentino, J. Mourao and J.P. Nunes.
J. Funct. Anal. 204 (2003) 355-398.
- [FMN02] Coherent State Transforms and Abelian Varieties,
By C. Florentino, J. Mourao nd J.P. Nunes.
J. Funct. Anal. 192 (2002) 410-424.
- [A00] Constructing Hamiltonian quantum theories from path integrals
in a diffeomorphism invariant context.
By Abhay Ashtekar, Donald Marolf, Jose Mourao, Thomas Thiemann.
Class. Quant. Grav. 17 (2000) 4919-4940.
- [MTV99] Physical properties of quantum
field theory measures.
By J.M. Mourao, T. Thiemann, J.M. Velhinho.
J. Math. Phys. 40 (1999) 2337-235.
- [MMT97] The Status of diffeomorphism
superselection in Euclidean (2+1) gravity.
By Donald Marolf, Jose Mourao, Thomas Thiemann.
J. Math. Phys. 38 (1997) 4730-4740.
- [A97] SU(N) quantum Yang-Mills theory
in two-dimensions: A Complete solution.
By Abhay Ashtekar, Jerzy Lewandowski, Donald
Marolf, Jose Mourao, Thomas Thiemann.
J. Math. Phys. 38 (1997) 5453-5482.
- [A96] Coherent state transforms for
spaces of connections.
By Abhay Ashtekar, Jerzy Lewandowski, Donald
Marolf, Jose Mourao, Thomas Thiemann.
J. Funct. Anal. 135 (1996) 519-551.
- [LMT96] Complexification of gauge
theories.
By R. Loll, J.M. Mourao, J.N. Tavares.
J. Geom. Phys. 18 (1996) 1-24.
- [A95a] Quantization of diffeomorphism
invariant theories of connections with local degrees of freedom.
By Abhay Ashtekar, Jerzy Lewandowski, Donald
Marolf, Jose Mourao, Thomas Thiemann.
J. Math. Phys. 36 (1995) 6456-6493.
Topcite = 100+
- [A95b] A Manifestly gauge invariant approach to quantum theories of gauge fields.
By Abhay Ashtekar, Jerzy Lewandowski, Donald
Marolf, Jose Mourao, Thomas Thiemann.
In *Cambridge 1994, Proceedings, Geometry of
constrained dynamical systems* 60-86, and
Pennsylvania State U. University Park - CGPG-
94-08-02 (94/07) 27 .
- [MM95] On the support of the
Ashtekar-Lewandowski measure.
By Donald Marolf & Jose M. Mourao.
Commun. Math. Phys. 170 (1995) 583-606.
Topcite = 50+
- [LMT95] Generalized coordinates on the
phase space of Yang-Mills theory.
By R. Loll, J.M. Mourao, J.N. Tavares.
Class. Quant. Grav.12 (1995) 1191-1198.
- [AMM94] Integration on the space of
connections modulo gauge transformations.
By Abhay Ashtekar, Donald Marolf, Jose Mourao.
CGPG-94-3-4 (n.d.) 27p.
http://inspirehep.net/record/360973
- [LMT94] Symplectic reduction via complex
group actions.
By R. Loll, J.M. Mourao, J.N. Tavares.
Monepulciano Workshop 1993:291-30, World Scientific, 1994.
- [BMP93] Quantum gravity and the large
scale structure of the universe.
By O. Bertolami, J.M. Mourao, J. Perez-Mercader.
Phys.Lett.B311 (1993) 27-33.
- [B93] On the cosmology of massive
vector fields with SO(3) global symmetry.
By M.C. Bento, O. Bertolami, P.V. Moniz, J.M.
Mourao, P.M. Sa.
Class.Quant.Grav.10 (1993) 285-298.
- [MMS93] The Dynamics of a flat
Friedmann-Robertson-Walker inflationary model in the presence of gauge
fields.
By P.V. Moniz, J.M. Mourao, P.M. Sa.
Class.Quant.Grav.10 (1993) 517-534.
- [M93] Symmetric solutions of Einstein
Yang-Mills equations.
By Jose Mourao.
In: *Evora 1992, Proceedings, Classical and
quantum gravity*,
World Scientific, 1993, 217-221.
- [B93] Friedmann-Robertson-Walker
cosmologies in the presence of massive vector fields.
By P.M. Sa, M.C. Bento, O. Bertolami, P.V. Moniz,
J.M. Mourao.
In: *Evora 1992, Proceedings, Classical and
quantum gravity*,
World Scientific, 1993, 251-255.
- [BMP93] Explaining the large scale
structure of the universe using quantum gravity.
By O. Bertolami, J.M. Mourao, J. Perez-Mercader.
In: *Evora 1992, Proceedings, Classical and
quantum gravity*,
World Scientific, 1993, 280-284.
- [BKM92a] Stability of compactification in
Einstein Yang-Mills theories after inflation.
By O. Bertolami, Yu.A. Kubyshin, J.M. Mourao.
Phys.Rev.D45 (1992) 3405-3414.
- [BKM92b] Explaining the large scale
structure of the universe using quantum gravity.
By O. Bertolami, J.M. Mourao, J. Perez-Mercader.
In: Proceedings of the VI Marcel Grossmann Meeting, Kyoto, Japan, 1991,
World Scientific, 1992, 625-628
- [BM91] The Ground state wave function
of a radiation dominated universe.
By O. Bertolami & J.M. Mourao.
Class.Quant.Grav.8 (1991) 1271-1282.
- [MM91] Homogeneous and isotropic closed
cosmologies with a gauge sector.
By P.V. Moniz & J.M. Mourao.
Class.Quant.Grav.8 (1991) 1815-1832.
- [B91] Dynamics of euclidenized
Einstein Yang-Mills systems with arbitrary gauge groups.
By O. Bertolami, J.M. Mourao, R.F. Picken, I.P.
Volobuev.
Int.J.Mod.Phys.A6 (1991) 4149-4180.
- [HMS91] Inflation in a Bianchi-IX
cosmological model. The Roles of primordial shear and gauge fields.
By A.B. Henriques, J.M. Mourao, P.M. Sa.
Phys.Lett.B256 (1991) 359-368.
- [BKM91] Stability of compactification in
Einstein Yang-Mills theories.
By O. Bertolami, J.M. Mourao, Yu.A. Kubyshin.
In *Lisbon 1990, Proceedings, The physical
universe*.
Springer Verlag Lecture Notes in Physics, 383, 1991,
237-252.
- [BM91] Euclideanized Einstein
Yang-Mills equations, wormholes and the ground state wave function of a
radiation dominated universe.
By O. Bertolami & J.M. Mourao.
In *Lisbon 1990, Proceedings, The physical
universe*. Springer Verlag Lecture Notes in Physics, 383, 1991,
- [KMV91] Graphic schemes of root ordering in simple Lie algebras.
By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
In: Proceedings of the XVIII International Symposium on
Group Theoretical Methods in Physics, Moscow, June, 1990.
V.I. Man'ko, V.V. Dodonov (Eds),
Nova Science,
1991, 261-264.
- [KMV90] Spontaneous compactification
with extra timelike dimensions in Einstein Yang-Mills theories.
By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
In *Protvino 1989, Proceedings of the XII International Workshop, Problems on
high energy physics and field theory.
Nauka, Moscow,
1990, 73-76.
- [K89] Dimensional reduction of symmetric gauge fields, Higgs models
and spontaneous compactification.
By Yu.A. Kubyshin, J.M. Mourao, G.
Rudolph, I.P. Volobuev,
Soviet Journal of Particles and Nuclei, 20 (1989) 239-265.
- [KMV89a]
Symmetric spaces and Higgs models in the method of dimensional
reduction. 1: potentials of the scalar fields of the reduced
theory.
By I.P. Volobuev, Yu.A. Kubyshin, J.M. Mourao.
Theor. Math. Phys. 78 (1989) 41-49.
- [KMV89b]
Symmetric spaces and Higgs models in the method of dimensional
reduction. 2: Theories with one multiplet
of scalar fields.
By I.P. Volobuev, Yu.A. Kubyshin, J.M. Mourao.
Theor. Math. Phys. 78 (1989) 191-200.
- [KMV89c] Multidimensional Einstein-Yang-Mills theories:
Dimensional reduction, spontaneous compactification and all that.
By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
Nucl.Phys.B322 (1989) 531-554.
- [KMV89d]
Scalar fields in the dimensional reduction
scheme for symmetric spaces.
By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
Int.J.Mod.Phys.A4 (1989) 151.
- [KMV89e]
Stable compactifying solutions and new possibilities
for model building in symmetric spaces with simple
isotropy group.
By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
In:
*Protvino 1989, Proceedings of the XI International Workshop, Problems in
high energy physics and field theory*.
Nauka, Moscow,
1989, 25-35.
- [KMV88] Spontaneous compactification
and dimensional reduction.
By Yu.A. Kubyshin, J.M. Mourao, I.P. Volobuev.
Phys.Lett.B203 (1988) 349.
Workshop Lectures
Unpublished Work
-
Spontaneous compactification to homogeneous spaces.
By J.M. Mourao.
JINR-E2-88-155 (Mar 1988) 19p.