Some general data base sites
Some Mathematical Physics Journals (alphabetical order)
V.Moretti:
Classical, Lagrangian and Hamiltonian Mechanics, Stability Theory & Special Relativity
750 pages
Springer 2023
ISBN: 978-3-031-27612-5
V.Moretti:
Meccanica
Classica,Meccanica
Lagrangiana e
Hamiltoniana e
Teoria della Stabilità
(italian) 600 pages
Springer 2020
ISBN
978-88-470-3997-1
M.Asorey, E.Ercolessi, V.Moretti:
From Classical Mechanics to Quantum Field Theory. A Tutorial
256 pages
World Scientific Publishing 2020
ISBN 978-981-121-048-8
V.Moretti:
Spectral Theory, Foundational Issues, Symmetries, Algebraic Formulation
337 pages
Springer 2019
ISBN 978-3-030-18345-5
review of the book by MathSciNet
V. Moretti:
Mathematical Structure
of Quantum Theories,
Symmetries and introduction to the
Algebraic Formulation
2nd revised and enlarged
edition
950 pages
Springer 2018
ISBN 978-3-319-70705-1
review of the book by Zentralblatt MATH
C.Dappiaggi,
V.Moretti, N.Pinamonti:
115 pages
Springer 2017
ISBN 978-3-319-64343-4
V.Moretti:
Spectral Theory and Quantum Mechanics:
with an introduction to the Algebraic Formulation.
752 pages
Springer 2013
ISBN 978-88-470-2834-0
review of the book by MAA Reviews
V. Moretti:
Teoria Spettrale e Meccanica Quantistica.
Operatori in Spazi di Hilbert.
(Italian) 704 pages
Springer 2010 ISBN:978-88-470-1610-1
review of the book by
Zentralblatt MATH
A.Bytsenko, G.Cognola, E.Elizalde, V.Moretti, S.Zerbini:
Analytic Aspects of Quantum Fields.
350 pages
World Scientific Publishing, 2003, ISBN:981-238-364-6
review of the book by
Zentralblatt MATH
IN PROGRESS
[80] D. Castrigiano, C.De Rosa, V.Moretti: Yet another paper about quantum relativistic localization of fermions
[79] V.Moretti: Paper about quantum relativistic localization and local QFT
SUBMITTED
[78] D. Castrigiano, C. De Rosa, V. Moretti: Achronal localization and representation of the causal logic from conserved current, application to massive scalar boson https://arxiv.org/abs/2501.12699
PUBLISHED OR ACCEPTED FOR PUBLICATION
[77] N Drago, S Mazzucchi, V Moretti: Feynman path integrals on compact Lie groups with bi-invariant Riemannian metrics
Ann. H. Poincaré (2025) (in press)
htps://arxiv.org/pdf/2307.03282 56 pages
[76] C.De Rosa, V.Moretti: Quantum particle localization observables on Cauchy surfaces of Minkowski spacetime and their causal properties
Lett.Math.Phys. 114: 72 (2024) DOI: 10.1007/s11005-024-01817-9
https://arxiv.org/abs/2402.13894 60 pages
[75] N. Leone, S. Azzini, S. Mazzucchi, V.Moretti, M. Sanna, M. Borghi, G. Piccoli, M. Bernard, M. Ghulinyan and L. Pavesi: Generation of quantum-certified random numbers using on-chip path-entangled single photons from an LED
Photonics Research Vol. 11, Issue 9, pp. 1484-1499 (2023). DOI:10.1364/PRJ.488875
https://arxiv.org/abs/2303.15332 15 pages
[74] V.Moretti, S. Murro, D.Volpe: Paracausal deformations of Lorentzian metrics and Moller isomorphisms in algebraic quantum field theory,
Selecta Mathematica, New Ser. 29, 56 (2023). DOI:10.1007/s00029-023-00860-z
https://arxiv.org/abs/2109.06685 69 pages
[73] V.Moretti: On the Relativistic Spatial Localization for massive real scalar Klein-Gordon quantum particles
Lett.Math.Phys. 113, 66 (2023). DOI:10.1007/s11005-023-01689-5
https://arxiv.org/abs/2304.02133 50 pages
[72] V.Moretti S. Murro, D.Volpe: The quantization of Proca fields on globally hyperbolic spacetimes: Hadamard states and Møller operators
Ann. H. Poincaré 24, 3055–3111 (2023). DOI: 10.1007/s00023-023-01326-w
https://arxiv.org/abs/2210.09278 57 pages
[71] S. Mazzucchi, V.Moretti, I. Remizov, O. Smolyanov: Chernoff approximations for Feller semigroups in Riemannian manifolds,
Mathematische Nachrichten 296, 3 (2023) 1244-1284 DOI: 10.1002/mana.202100291
https://arxiv.org/abs/2002.06606 40 pages
[70] N. Leone, S. Azzini, S. Mazzucchi, V.Moretti, L. Pavesi: Certified quantum random numbers based on single-photon entanglement
Phys.Rev.Applied 17, 034011 (2022) DOI: 10.1103/PhysRevApplied.17.034011
https://arxiv.org/abs/2104.04452 33 pages
[69] V.Moretti, C.J.F van de Ven: The classical limit for Schroedinger operators in the framework of Berezin quantization and spontaneous symmetry breaking as emergent phenomenon
Int J. Geom Methods Mod Phys 19, 2250003 (2022) DOI:10.1142/S0219887822500037
https://arxiv.org/abs/2103.11914 43 pages
[68] V.Moretti On the global Hadamard parametrix in QFT and the signed squared geodesic distance defined in domains larger than convex normal neighbourhoods
Lett.Math.Phys. (2021) 111:130 DOI: 10.1007/s11005-021-01464-4
https://arxiv.org/abs/2107.04903 18 pages
[67] S. Mazzucchi, S. Azzini, N. Leone, L. Pavesi, V.Moretti: Entropy certification of a realistic quantum random numbers generator based on single particle entanglement
Phys.Rev.A 104, 022416 (2021) DOI: 10.1103/PhysRevA.104.022416
https://arxiv.org/abs/2104.06092 17 pages
[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
Phys.Rev.A 102, 063708 (2020) DOI:10.1103/PhysRevA.102.063708
https://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
https://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
https://arxiv.org/abs/1909.10974 42 pages
[63] S. Azzini, S. Mazzucchi, V.Moretti, D. Pastorello, L. Pavesi: Single-Particle Entanglement
Adv. 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
https://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
https://arxiv.org/abs/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
https://arxiv.org/abs/1709.09246 71 pages
[59] I.Khavkine, A.Melati, V.Moretti, On Wick polynomials of boson fields in locally covariant algebraic QFT
Ann. H. Poincaré 26, (2019), 929–1002 DOI:10.1007/s00023-018-0742-y
https://arxiv.org/abs/1710.01937 73 pages
[58] V.Moretti and M. Oppio, The correct formulation of Gleason's theorem in quaternionic Hilbert spaces
Ann. H. Poincaré 19 (2018), 3321-3355 DOI:10.1007/s00023-018-0729-8
https://arxiv.org/abs/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
https://arxiv.org/abs/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
https://arxiv.org/abs/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
https://arxiv.org/abs/1508.06951 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
https://arxiv.org/abs/1411.1302 44 pages
[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
https://arxiv.org/abs/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
https://arxiv.org/abs/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),
DOI: 10.1007/978-3-319-08771-9 9
11 pages
https://arxiv.org/abs/1402.2935
[50] R. Ghiloni, V.Moretti and A. Perotti: Slice Functional Calculus in Quaternionic Hilbert Spaces,
Proceedings of the 9th ISAAC Congress, 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. H. 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. H. 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,
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. H. 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