Artigo em revista |
- Cortez, Jerónimo; Elizaga Navascués, Beatriz; Mena Marugán, Guillermo A.; Torres-Caballeros, Álvaro; Velhinho, José. "Fock
Quantization of a Klein–Gordon Field in the Interior Geometry of a Nonrotating Black Hole". Mathematics 11 18 (2023):
3922. http://dx.doi.org/10.3390/math11183922.
10.3390/math11183922
- Velhinho, José; Fonseca, Elsa; Serôdio, Rogério. "General solutions to decay chain equations". Computer Physics Communications
283 (2023): 108582. http://dx.doi.org/10.1016/j.cpc.2022.108582.
10.1016/j.cpc.2022.108582
- Inácio, Ilda; Velhinho, José. "Comments on Mathematical Aspects of the Biró–Néda Model". Mathematics 10 4 (2022): 644.
http://dx.doi.org/10.3390/math10040644.
Publicado
- Cortez, Jerónimo; Mena Marugán, Guillermo A.; Velhinho, José M.. "A Brief Overview of Results about Uniqueness of the Quantization
in Cosmology". Universe 7 8 (2021): 299. http://dx.doi.org/10.3390/universe7080299.
Publicado • 10.3390/universe7080299
- Velhinho, Jose. "Uniqueness Criteria for the Fock Quantization of Dirac Fields and Applications in Hybrid Loop Quantum Cosmology".
Universe (2020):
https://doi.org/10.3390/universe6120241
- Velhinho, Jose. "Quantum Linear Scalar Fields with Time Dependent Potentials: Overview and Applications to Cosmology". Mathematics
(2020): http://dx.doi.org/10.3390/math8010115.
10.3390/math8010115
- Barack, Leor; Cardoso, Vitor; Nissanke, Samaya; Sotiriou, Thomas P; Askar, Abbas; Belczynski, Chris; Bertone, Gianfranco;
et al. "Black holes, gravitational waves and fundamental physics: a roadmap". Classical and Quantum Gravity 36 14 (2019):
143001. http://dx.doi.org/10.1088/1361-6382/ab0587.
10.1088/1361-6382/ab0587
- Jerónimo Cortez; Ilda Inácio Rodrigues; Mercedes Martín-Benito; José Velhinho. "On the Uniqueness of the Fock Quantization
of the Dirac Field in the Closed FRW Cosmology". Advances in Mathematical Physics 2018 (2018): 1-7. https://doi.org/10.1155/2018/2450816.
10.1155/2018/2450816
- da Cruz, H.F.; Rodrigues, I.I.; Serôdio, R.; Simões, A.; Velhinho, J.. "Convertible subspaces of hessenberg-type matrices".
Mathematics 5 4 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85038234156&partnerID=MN8TOARS.
10.3390/math5040079
- Cortez, J.; Elizaga Navascués, B.; Martín-Benito, M.; Mena Marugán, G.A.; Velhinho, J.M.. "Dirac fields in flat FLRW cosmology:
Uniqueness of the Fock quantization". Annals of Physics 376 (2017): 76-88. http://www.scopus.com/inward/record.url?eid=2-s2.0-85007618875&partnerID=MN8TOARS.
10.1016/j.aop.2016.11.005
- Cortez, J.; Navascués, B.E.; Martín-Benito, M.; Mena Marugán, G.A.; Velhinho, J.M.. "Uniqueness of the Fock quantization of
Dirac fields in 2+1 dimensions". Physical Review D 96 2 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85026999398&partnerID=MN8TOARS.
10.1103/PhysRevD.96.025024
- Velhinho, J.. "Topics of measure theory on infinite dimensional spaces". Mathematics 5 3 (2017): http://www.scopus.com/inward/record.url?eid=2-s2.0-85029468004&partnerID=MN8TOARS.
10.3390/math5030044
- Cortez, J.; Elizaga Navascués, B.; Martín-Benito, M.; Mena Marugán, G.A.; Velhinho, J.M.. "Unique Fock quantization of a massive
fermion field in a cosmological scenario". Physical Review D 93 8 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84964596801&partnerID=MN8TOARS.
10.1103/PhysRevD.93.084053
- Cortez, J.; Navascués, B.E.; Martín-Benito, M.; Mena Marugán, G.A.; Olmedo, J.; Velhinho, J.M.. "Uniqueness of the Fock quantization
of scalar fields in a Bianchi i cosmology with unitary dynamics". Physical Review D 94 10 (2016): http://www.scopus.com/inward/record.url?eid=2-s2.0-84998882051&partnerID=MN8TOARS.
10.1103/PhysRevD.94.105019
- Velhinho, J.. "Canonical Quantization of the Scalar Field: The Measure Theoretic Perspective". Advances in Mathematical
Physics 2015 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84947997769&partnerID=MN8TOARS.
10.1155/2015/608940
- Cortez, J.; Elizaga Navascués, B.; Martín-Benito, M.; Mena Marugán, G.A.; Velhinho, J.M.. "Unitary evolution and uniqueness
of the Fock representation of Dirac fields in cosmological spacetimes". Physical Review D - Particles, Fields, Gravitation
and Cosmology 92 10 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84948800272&partnerID=MN8TOARS.
10.1103/PhysRevD.92.105013
- Cortez, J.; Mena Marugán, G.A.; Velhinho, J.M.. "Quantum unitary dynamics in cosmological spacetimes". Annals of Physics
363 (2015): 36-47. http://www.scopus.com/inward/record.url?eid=2-s2.0-84943619973&partnerID=MN8TOARS.
10.1016/j.aop.2015.09.016
- Velhinho, J.M.. "Local properties of measures in quantum field theory and cosmology". Symmetry, Integrability and Geometry:
Methods and Applications (SIGMA) 11 (2015): http://www.scopus.com/inward/record.url?eid=2-s2.0-84921276568&partnerID=MN8TOARS.
10.3842/SIGMA.2015.006
- Velhinho, Jose. "An introduction to strict quantization". Electronic Journal of Theoretical Physics 12 33 (2015): 61-90.
http://www.scopus.com/inward/record.url?eid=2-s2.0-85007143663&partnerID=MN8TOARS.
- Velhinho, Jose. "Unitary evolution and uniqueness of the Fock quantization in flat cosmologies with compact spatial sections".
Electronic Journal of Theoretical Physics (2014): http://www.ejtp.com/articles/ejtpv11i31p43.pdf.
- Cortez, J.; Blas, D.M.-D.; Marugán, G.A.M.; Velhinho, J.M.. "Massless scalar field in de Sitter spacetime: Unitary quantum
time evolution". Classical and Quantum Gravity 30 7 (2013): http://www.scopus.com/inward/record.url?eid=2-s2.0-84875274643&partnerID=MN8TOARS.
10.1088/0264-9381/30/7/075015
- Cortez, J.; Mena Marugán, G.A.; Olmedo, J.; Velhinho, J.M.. "Criteria for the determination of time dependent scalings in
the Fock quantization of scalar fields with a time dependent mass in ultrastatic spacetimes". Physical Review D - Particles,
Fields, Gravitation and Cosmology 86 10 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84868526331&partnerID=MN8TOARS.
10.1103/PhysRevD.86.104003
- Fernández-Méndez, M.; Mena Marugán, G.A.; Olmedo, J.; Velhinho, J.M.. "Unique Fock quantization of scalar cosmological perturbations".
Physical Review D - Particles, Fields, Gravitation and Cosmology 85 10 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84861653119&partnerID=MN8TOARS.
10.1103/PhysRevD.85.103525
- Gomar, L.C.; Cortez, J.; Martín-De Blas, D.; Marugán, G.A.M.; Velhinho, J.M.. "Uniqueness of the Fock quantization of scalar
fields in spatially flat cosmological spacetimes". Journal of Cosmology and Astroparticle Physics 2012 11 (2012): http://www.scopus.com/inward/record.url?eid=2-s2.0-84868560003&partnerID=MN8TOARS.
10.1088/1475-7516/2012/11/001
- Cortez, J.; Mena Marugán, G.A.; Olmedo, J.; Velhinho, J.M.. "Uniqueness of the Fock quantization of fields with unitary dynamics
in nonstationary spacetimes". Physical Review D - Particles, Fields, Gravitation and Cosmology 83 2 (2011): http://www.scopus.com/inward/record.url?eid=2-s2.0-79551554882&partnerID=MN8TOARS.
10.1103/PhysRevD.83.025002
- Cortez, J.; Marugn, G.A.M.; Olmedo, J.; Velhinho, J.M.. "A uniqueness criterion for the Fock quantization of scalar fields
with time-dependent mass". Classical and Quantum Gravity 28 17 (2011): http://www.scopus.com/inward/record.url?eid=2-s2.0-80052085890&partnerID=MN8TOARS.
10.1088/0264-9381/28/17/172001
- Cortez, J.; Mena Marugán, G.A.; Velhinho, J.M.. "Fock quantization of a scalar field with time dependent mass on the three-sphere:
Unitarity and uniqueness". Physical Review D - Particles, Fields, Gravitation and Cosmology 81 4 (2010): http://www.scopus.com/inward/record.url?eid=2-s2.0-77749308479&partnerID=MN8TOARS.
10.1103/PhysRevD.81.044037
- Cortez, J.; Mena Marugán, G.A.; Olmedo, J.; Velhinho, J.M.. "A unique Fock quantization for fields in non-stationary spacetimes".
Journal of Cosmology and Astroparticle Physics 2010 10 (2010): http://www.scopus.com/inward/record.url?eid=2-s2.0-78449269213&partnerID=MN8TOARS.
10.1088/1475-7516/2010/10/030
- Velhinho, J.M.. "Groups of generalized flux transformations in the space of generalized connections". International Journal
of Geometric Methods in Modern Physics 6 3 (2009): 479-486. http://www.scopus.com/inward/record.url?eid=2-s2.0-66949124314&partnerID=MN8TOARS.
10.1142/S021988780900362X
- Cortez, J.; Marugán, G.A.M.; Serôdio, R.; Velhinho, J.M.. "Uniqueness of the Fock quantization of a free scalar field on S1
with time dependent mass". Physical Review D - Particles, Fields, Gravitation and Cosmology 79 8 (2009): http://www.scopus.com/inward/record.url?eid=2-s2.0-67449103941&partnerID=MN8TOARS.
10.1103/PhysRevD.79.084040
- Cortez, J.; Marugán, G.A.M.; Velhinho, J.M.. "Uniqueness of the Fock representation of the Gowdy S1× S2and
S3models". Classical and Quantum Gravity 25 10 (2008): http://www.scopus.com/inward/record.url?eid=2-s2.0-44449117030&partnerID=MN8TOARS.
10.1088/0264-9381/25/10/105005
- Corichi, A.; Cortez, J.; Mena Marugán, G.A.; Velhinho, J.M.. "Quantum Gowdy T3 model: Schrödinger representation with unitary
dynamics". Physical Review D - Particles, Fields, Gravitation and Cosmology 76 12 (2007): http://www.scopus.com/inward/record.url?eid=2-s2.0-37649010819&partnerID=MN8TOARS.
10.1103/PhysRevD.76.124031
- Velhinho, J.M.. "The quantum configuration space of loop quantum cosmology". Classical and Quantum Gravity 24 14 (2007):
3745-3758. http://www.scopus.com/inward/record.url?eid=2-s2.0-34547484378&partnerID=MN8TOARS.
10.1088/0264-9381/24/14/013
- Cortez, J.; Marugán, G.A.M.; Velhinho, J.M.. "Uniqueness of the Fock quantization of the Gowdy T3 model". Physical Review
D - Particles, Fields, Gravitation and Cosmology 75 8 (2007): http://www.scopus.com/inward/record.url?eid=2-s2.0-34247250842&partnerID=MN8TOARS.
10.1103/PhysRevD.75.084027
- Corichi, A.; Cortez, J.; Mena Marugán, G.A.; Velhinho, J.M.. "Quantum Gowdy T3 model: A uniqueness result". Classical
and Quantum Gravity 23 22 (2006): http://www.scopus.com/inward/record.url?eid=2-s2.0-33846156897&partnerID=MN8TOARS.
10.1088/0264-9381/23/22/014
- Velhinho, J.M.. "Denseness of Ashtekar-Lewandowski states and a generalized cut-off in loop quantum gravity". Classical
and Quantum Gravity 22 14 (2005): 3061-3071. http://www.scopus.com/inward/record.url?eid=2-s2.0-22544446186&partnerID=MN8TOARS.
10.1088/0264-9381/22/14/015
- Velhinho, J.M.. "Functorial aspects of the space of generalized connections". Modern Physics Letters A 20 17-18 (2005):
1299-1303. http://www.scopus.com/inward/record.url?eid=2-s2.0-21144447490&partnerID=MN8TOARS.
10.1142/S0217732305017767
- Velhinho, J.M.. "Comments on the kinematical structure of loop quantum cosmology". Classical and Quantum Gravity 21
15 (2004): http://www.scopus.com/inward/record.url?eid=2-s2.0-4043098307&partnerID=MN8TOARS.
10.1088/0264-9381/21/15/L01
- Velhinho, Jose. "On the structure of the space of generalized connections". International Journal of Geometric Methods
in Modern Physics (2004):
10.1142/S0219887804000198
- Velhinho, J.M.. "Invariance properties of induced fock measures for U(1) holonomies". Communications in Mathematical Physics
227 3 (2002): 541-550. http://www.scopus.com/inward/record.url?eid=2-s2.0-0035998068&partnerID=MN8TOARS.
10.1007/s002200200628
- Velhinho, J.M.. "A groupoid approach to spaces of generalized connections". Journal of Geometry and Physics 41 1-2
(2002): 166-180. http://www.scopus.com/inward/record.url?eid=2-s2.0-0010655271&partnerID=MN8TOARS.
10.1016/S0393-0440(01)00051-1
- Mourão, J.M.; Thiemann, T.; Velhinho, J.M.. "Physical properties of quantum field theory measures". Journal of Mathematical
Physics 40 5 (1999): 2337-2353. http://www.scopus.com/inward/record.url?eid=2-s2.0-0033421595&partnerID=MN8TOARS.
10.1063/1.532868
- Velhinho, J.M.. "Comments on a full quantization of the torus". International Journal of Modern Physics A 13 22 (1998):
3905-3914. http://www.scopus.com/inward/record.url?eid=2-s2.0-27844462166&partnerID=MN8TOARS.
10.1142/S0217751X98001827
- Velhinho, J.; Santos, R.; Barroso, A.. "Tree level vacuum stability in two-Higgs-doublet models". Physics Letters B
322 3 (1994): 213-218. http://www.scopus.com/inward/record.url?eid=2-s2.0-0008136501&partnerID=MN8TOARS.
10.1016/0370-2693(94)91109-6
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