|
|
| In progress |
[68] F.Finster, V.Moretti, A.Much: paper about Laplace Beltrami operator on non-complete manifolds |
| Submitted |
| [67] S. Mazzucchi, V.Moretti, I. Remizov, S. Smolyanov: Feynman type formulas for Feller semigroups in Riemannian manifolds arxiv.org/abs/2002.06606 34 pages |
| Papers published or accepted for publication |
|
[66] S. Pasini, N. Leone, S. Mazzucchi, V.Moretti, D. Pastorello, L. Pavesi: Bell inequality violation by entangled single photon states generated from a laser, a LED or a Halogen lamp Physical Review A 102, 063708 (2020) doi.org/10.1103/PhysRevA.102.063708 arxiv.org/abs/2003.09961 32 pages |
| [65] V.Moretti, C.J.F van de Ven: Bulk-boundary asymptotic equivalence of two strict deformation quantizations Lett. Math. Phys, 110 (2020) 2941-2963 DOI: 10.1007/s11005-020-01333-6 arxiv.org/abs/2005.04422 27 pages |
| [64] N.Drago, S. Mazzucchi, V.Moretti: An operational construction of the sum of two non-commuting observables in quantum theory and related constructions Lett. Math. Phys, 110 (2020) 3197–3242 DOI: 10.1007/s11005-020-01332-7 arxiv.org/abs/1909.10974 42 pages |
| [63] S. Azzini, S. Mazzucchi, V.Moretti, D. Pastorello, L. Pavesi: Single-Particle Entanglement Advanced Quantum Technologies, Volume3, Issue10, October 2020, 2000014 DOI: 10.1002/qute.202000014 35 pages |
| [62] K. Landsman, V.Moretti, C.J.F. van de Ven: A Strict Deformation Quantization Map on the state space of M_k(C) and the Classical Limit of the Curie-Weiss model Rev. Math. Phys. Vol. 32 (2020) 2050031 DOI: 10.1142/S0129055X20500312 arxiv.org/abs/1909.10947 54 pages |
| [61] N. Drago and V.Moretti: The notion of observable and the moment problem for *-algebras and their GNS representations Lett. Math. Phys, 110(7), (2020), 1711-1758 DOI: 10.1007/s11005-020-01277-x arXiv.org:1903.07496 48 pages |
| [60] V.
Moretti and M. Oppio, Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one Rev. Math. Phys. 31, (2019) 1950013 DOI: 10.1142/S0129055X19500132 arXiv:1709.09246 71 pages |
| [59] I.Khavkine, A.Melati, V.Moretti, On Wick polynomials of boson fields in locally covariant algebraic QFT Ann. Henri Poincaré 26, (2019), 929–1002 DOI: 10.1007/s00023-018-0742-y arXiv:1710.01937 73 pages |
| [58] V.
Moretti and M. Oppio, The correct formulation of Gleason's theorem in quaternionic Hilbert spaces Ann. Henri Poincaré 19 (2018), 3321-3355 DOI: 10.1007/s00023-018-0729-8 arXiv:1803.06882 37 pages |
| [57] R. Ghiloni, V.
Moretti
and A. Perotti: Spectral representations of normal operators via Intertwining Quaternionic Projection Valued Measures Rev. Math. Phys. 29 (2017) 1750034 DOI: 10.1142/S0129055X17500349 arXiv:1602.02661 73 pages |
| [56] V.
Moretti and M. Oppio: Quantum theory in real Hilbert space: How the complex Hilbert space structure emerges from Poincaré symmetry Rev. Math. Phys. 29 (2017) 1750021 DOI: 10.1142/S0129055X17500210 arXiv:1611.09029 85 pages |
| [55] V.
Moretti: Mathematical Foundations of Quantum Mechanics: An Advanced Short Course. Lectures given by the author at the``XXIV International Fall Workshop on Geometry and Physics'' Int. J. Geom. Methods Mod. Phys..13 Issue Supp.1 1630011 (2016) DOI:10.1142/S0219887816300117 arXiv:1508.1302 103 pages |
| [54] I.Khavkine and V.
Moretti: Analytic Dependence is an Unnecessary Requirement in Renormalization of Locally Covariant QFT Commun. Math. Phys. 344 (2016), 581-620 34 pages DOI: 10.1007/s00220-016-2618-7 |
| [53] V.
Moretti and D. Pastorello: Frame functions in finite-dimensional Quantum Mechanics and its Hamiltonian formulation on complex projective spaces Int. J. Geom. Methods Mod. Phys. 13 1650013 (2016) DOI: 10.1142/S0219887816500134 arXiv:1311.1720 30 pages |
| [52] I.Khavkine and V.
Moretti: Algebraic QFT in Curved Spacetime and quasifree Hadamard states: an introduction invited contribution (V. Moretti) to Advances in Algebraic Quantum Field Theory by Springer 2015 (Eds R. Brunetti, C. Dappiaggi, K. Fredenhagen, and J.Yngvason) DOI:10.1007/978-3-319-21353-8_5 59 pages arXiv:1412.5945 |
| [51] R. Ghiloni, V.
Moretti
and A. Perotti: Spectral properties of compact normal quaternionic operators, in Hypercomplex Analysis: New perspectives and applications, Trends in Mathematics, Birkhauser, Basel (2014) (Eds S. Bernstein, U. Kaehler, I. Sabadini, F. Sommen), 11 pages arXiv:1402.2935 |
| [50] R. Ghiloni, V.
Moretti
and A. Perotti: Slice Functional Calculus in Quaternionic Hilbert Spaces, Proceedings of the 9th ISAAC Congrfess, Trends in Mathematics/Research Prospectives (Eds V. Mityushev & M. Ruzhansky) Birkhäuser (2014), 7 pages |
| [49] G. Collini, V.
Moretti
and N. Pinamonti: Tunnelling black-hole radiation with phi^3 self-interaction: one-loop computation for Rindler Killing horizons Lett. Math. Phys. 104 (2014) 217-232 DOI:10.1007/s11005-013-0663-0 14 pages |
| [48] V.
Moretti
and R. Di Criscienzo: How can we determine if a spacetime is flat? Frontiers in Physics 1:12 (2013), DOI:10.3389/fphy.2013.00012 6 pages |
| [47] R. Ghiloni, V.
Moretti
and A. Perotti: Continuous slice functional calculus in quaternionic Hilbert spaces Rev. Math. Phys. 25, (2013) 1350006, DOI:10.1142/S0129055X13500062 83 pages |
| [46] V.
Moretti and D. Pastorello: Generalized Complex Spherical Harmonics, Frame Functions, and Gleason Theorem Ann. Henri Poincaré 14 (2013),1435-1443 DOI:10.1007/s00023-012-0220-x 9 pages |
| [45] E. Annigoni and V. Moretti: Mass operator and dynamical implementation of mass superselection rule Ann. Henri Poincaré 14 (2013), 893–924 DOI:10.1007/s00023-012-0197-5 32 pages |
| [44] T.-P. Hack and V.
Moretti: On
the stress-energy tensor of QFT in curved spacetime - Comparison of
different regualrization schemes and symmetry of the
Hadamard/Seeley-DeWitt coefficients J. Phys. A: Math.Theor. 45 374019 (2012) 20 pages |
| [43] V.
Moretti, N.
Pinamonti: State independence for tunneling processes through black hole horizons. Commun. Math. Phys. 309 (2012) 295-311 17 pages |
| [42] C. Dappiaggi, V.
Moretti and N.
Pinamonti: Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime. Adv. Theor. Math. Phys. 15, vol 2, 355-448 (2011) 93 pages |
| [41] V.
Moretti: Local zeta-functions, stress-energy tensor, field fluctuations, and all that, in curved static spacetime, 10 pages Invited contribution to the volume: Cosmology, Quantum Vacuum, and Zeta Functions, Springer Proc.Phys. 137 (2011) 323-332 9 pages |
| [40] V.
Moretti and N.
Pinamonti: Black Hole Horizons and Thermodynamics: A Quantum Approach. Entropy 12, 1833-1854 (2010), special issue "Entropy in Quantum Gravity". 21 pages |
| [39]
R.Brunetti, L. Franceschini, V.
Moretti: Topological
features of massive bosons on two dimensional Einstein space-time. Ann. Henri Poincaré 10, 1027-1073 (2009). DOI 10.1007/s00023-009-0007-x 47 pages |
| [38]
C.Dappiaggi, V.
Moretti, N. Pinamonti: Distinguished quantum states in a class of
cosmological spacetimes and their Hadamard property. J. Math. Phys. 50, 062304 (2009). 39 pages |
| [37]
C.Dappiaggi, V.
Moretti, N. Pinamonti: Cosmological horizons and reconstruction
of quantum field theories. Commun. Math. Phys. 285, 1129 (2009). 32 pages |
| [36] V.
Moretti: Quantum
out-states states holographically induced by asymptotic flatness:
Invariance
under spacetime symmetries, energy positivity and Hadamard property. Commun. Math. Phys. 279, 31 (2008). 44 pages |
| [35] V.
Moretti: Some
recent results in linear scalar quantum field theory in globally
hyperbolic asymptotically flat spacetimes, Invited plenary talk given at the XVII SIGRAV Conference, Torino, September 4-7, 2006. Published online by Sigrav (2007). 10 pages (gr-qc/0611125) |
| [34]
R.
Brunetti and V.
Moretti: Quantum
Field Theories in Curved Spacetime [topical article], (2007) Invited (V. Moretti) contribution for Encyclopedia of Mathematical Physics (by Springer). |
| [33] V.
Moretti: Uniqueness
theorems for BMS-invariant states of scalar QFT on the null boundary of
asymptotically flat spacetimes and bulk-boundary observable algebra
correspondence Commun. Math. Phys. 268, 727 (2006). 30 pages |
| [32] C.
Dappiaggi, V.
Moretti and N.
Pinamonti: Rigorous
Steps towards
Holography
in Asymptotically Flat Spacetimes Rev. Math. Phys. 18, 349 (2006). 67 pages |
| [31] V.
Moretti: Bose-Einstein
condensate and Spontaneous Breaking of Conformal Symmetry
on Killing Horizons II,
J. Math. Phys. 47, 032302 (2006). 5 pages |
| [30] V.
Moretti: The interplay of polar decomposition
theorem and
Lorentz group. invited contribution for Variations on a century of relativity: theory and applications, Lecture notes of Seminario Interdisciplinare di Matematica, 5, 153, (2006). 18 pages Editor. S. Dragomir |
| [29]
V.
Moretti and N. Pinamonti:
Bose-Einstein
condensate and Spontaneous Breaking of Conformal Symmetry
on Killing Horizons J. Math. Phys. 46, 062303 (2005) . 29 pages |
| [28] V. Moretti
and N. Pinamonti:
The interplay of conformal invariance,
Quantum Field Theory near the horizon of a 2D black hole and Holography invited contribution to the book "Focus in Mathematical Physics Research" 75 pages Nova Science Publishers, Inc. NY, 2004, ISBN:1-59033-923-1 |
| [27] V.
Moretti and N. Pinamonti:
Quantum Virasoro algebra with central
charge
c=1 on the horizon of a
2D Rindler spacetime J. Math. Phys. 45, 257 (2004). 28 pages |
| [26] V.
Moretti and N. Pinamonti:
Holography and SL(2,R) symmetry
in 2D Rindler spacetime. J. Math. Phys. 45, 230 (2004). 27 pages |
| [25] V.
Moretti and N. Pinamonti:
QFT holography near the horizon of
a black hole invited contribution for Quantum Gravity and Cosmology, Special issue of Vestnik of Tomsk State Pedagogical University, 7 (44) 2004)(December). Pages 109-115. 7 pages ISBN 1609-624X., Editor S.D. Odintsov. |
| [24] V.
Moretti and N. Pinamonti:
Aspects of Hidden and
manifest SL(2,R) symmetry in 2D near horizon black hole background Nucl.Phys.B 647, 131 (2002). 22 pages |
| [23] V. Moretti:
Aspects
of
noncommutative Lorentzian geometry for globally hyperbolic
spacetimes Rev. Math. Phys. 15, 1171 (2003). 47 pages |
| [22] V. Moretti: Comments
on the
stress-energy tensor operator in
curved spacetime Commun. Math. Phys. 232, 189 (2003). 33 pages |
| [21] E. Elizalde,
V. Moretti
, S.Zerbini: On recent strategies proposed for proving the Riemann
hypothesis Int. J. Mod. Phys. A 18, 2189 (2003). 7 pages |
|
[20] V.
Moretti : A review on recent results of the z-function
regularization procedure in curved spacetime
Published in Recent developments in General Relativity, Springer-Verlag 2000. Editors: D. Fortunato, M. Francaviglia, A. Masiello, 7 pages |
| [19] V.
Moretti : Proof of the symmetry of the off-diagonal
Hadamard/Seeley-deWitt's coefficients in smooth Lorentzian manifolds by
a local Wick rotation Commun. Math. Phys. 212, 165 (2000). 25 pages |
| [18]
V.
Moretti : Proof of the symmetry of the
off-diagonal heat-kernel and
Hadamard's expansion coefficients in general smoothRiemannian manifolds Commun. Math. Phys. 208, 283 (1999). 26 pages |
| [17] V.
Moretti : One-loop stress-tensor renormalization in
curved
background: the relation
between z-function and point-splitting approaches, and an improved point-splitting procedure J.Math.Phys.40,3843(1999). 33 pages |
| [16]
V.
Moretti : Localz-function techniques vs point-splitting
procedures: a few rigorous results Commun. Math. Phys. 201, 327 (1999). 37 pages |
| [15]
D.
Binosi, V.
Moretti , L. Vanzo, S. Zerbini: Quantum Scalar
field on the massless (2+1) dimensional black hole Phys.Rev. D 59, 104017 (1999). 13 pages |
| [14]
D.
Iellici and V. Moretti
: z-function regularization and one-loop renormalization
of field fluctuations in curved spacetimes Phys. Lett. B 425, 33 (1998). 8 pages |
| [13]
D. Klemm, V.
Moretti , L. Vanzo: Rotating topological black holes Phys. Rev. D 57, 6127 (1998). 11 pages |
| [12]
V.
Moretti : z-function renormalization of one-loop stress
tensors
in curved spacetimes: a
check on the method in the conical manifold
and other cases ( hep-th/9706191 ) Published as a part of Phys. Rev.D 56 7797 (1997). |
| [11]
V.
Moretti and D. Iellici
: Optical Approach for the thermal Partition Function of
Photons Phys. Rev.D 55, 3552 (1997). 11 pages |
| [10] V.
Moretti : Direct z-function approach and renormalization
of one-loop stress
tensor in curved spacetimes Phys. Rev.D 56, 7797 (1997). 23 pages |
| [9] V.
Moretti : Euclidean Thermal Green Functions of Photons in
Generalized Euclidean Rindler Spaces for any Feynman-like gauge Int. J. Mod. Phys. A 12, 3787 (1997). 12 pages |
| [8]
V.
Moretti : Geometric entropy and
curvature coupling in conical spaces: z-function approach Class.Quant.Grav. 14 L123 (1997). 5 pages |
| [7] V.
Moretti : Canonical Quantization of Photons in a Rindler Wedge J. Math. Phys. 38, 2922 (1997). 32 pages |
| [6] D.
Iellici and V. Moretti
: Kabat's surface terms in the zeta-function approach Published in General Relativity and Gravitational Physics, World Scientific 1996, 5 pages Editors: M. Bassan, V. Ferrari, M. Francaviglia, F. Fucito, I. Modena. |
| [5] D.
Iellici and V. Moretti
: Thermal partition function of photons and gravitons in
a Rindler wedge Phys.Rev.D 54, 7459 (1996). 5 pages |
| [4] V.
Moretti and S. Steidl
: A Bisognano-Wichmann-like Theorem in a certain case of
Non Bifurcate Event Horizon related to an Extreme
Reisner-Nordstrom Black Hole Class. Quant. Grav. 13, 2121 (1996). 23 pages |
| [3] V.
Moretti : Hessling's Quantum Equivalence Principle and the
Temperature of anExtremalReisner-Nordstrom Black Hole ( gr-qc/9510016 ). Published as a part of Class. Quant. Grav. 13, 985 (1996). |
| [2] V.
Moretti : Wightman Functions' Behaviour on the Horizon of an
ExtremalReisner-Nordstrom Black Hole Class. Quant. Grav. 13, 985 (1996). 22 pages |
| [1] V.
Moretti and L.Vanzo
: Thermal Wightman Functions and Renormalized Stress Tensors in the
Rindler Wedge Phys. Lett.B 375, 54 (1996). 6 pages |
