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Research papers/Books/Reviews of mine

  Books

                                 
                                                                     
my book


my book  my book
[5] V.Moretti:

Spectral
Theory and Quantum
Mechanics
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
forthcoming
[4] C. Dappiaggi, V.Moretti, N.Pinamonti:

Hadamard States from Light-Like Hypersurfaces

115 pages

Springer 2017
ISBN 978-3-319-64343-4

arXiv:1706.09666
[3] V.Moretti:

Spectral Theory and Quantum Mechanics
with an introduction to the Algebraic Formulation.

752
pages
Springer 2013
I
SBN 978-88-470-2834-0

review
of the book by MAA Reviews

ERRATA CORRIGE
[2] 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
 
[1] A.Bytsenko, G.Cognola,
E.Elizalde,  V.Moretti and 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In Progress/Submitted/Published/Unpublished papers

 submitted and In progress papers
[60] I.Khavkine, A. Melati, V. Moretti,  On Wick polynomials of boson fields in locally covariant algebraic QFT
arXiv:1710.01937  
61 pages

[59] V. Moretti  and M. Oppio, Quantum theory in quaternionic Hilbert space: How Poincaré symmetry reduces the theory to the standard complex one
arXiv:1709.09246   71 pages

Papers published or accepted for publication
[58] 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

[57] 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 

[56] V. MorettiMathematical 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 

[55] 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 

[54] 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

[53] 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

[52] 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


[51] 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

[50] 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 


[49]  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

[48] 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

[47] V. Moretti and D. Pastorello: Generalized Complex Spherical Harmonics, Frame Functions, and Gleason Theorem
Ann. Henri Poincaré 14 (2013  DOI:10.1007/s00023-012-0220-x  9 pages

[46] 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

[45] 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

[44] V. Moretti, N. Pinamonti State independence for tunneling processes through black hole horizons.
Commun. Math. Phys. 309 (2012) 295-311 17 pages

[43] 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
       
[42] 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
 

[41] 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

[40] R.Brunetti, L. Franceschini, V. MorettiTopological 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
                 
[39] 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  

[38] C.Dappiaggi, V. Moretti, N. Pinamonti: Cosmological horizons and reconstruction of quantum field theories
Commun. Math. Phys. 285, 1129 (2009). 32 pages

[37] 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  

[36] 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)

[35] 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).
 

[34] V. MorettiUniqueness 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

[33] C. Dappiaggi, V. Moretti and N. Pinamonti:   Rigorous Steps towards Holography in Asymptotically Flat Spacetimes
Rev. Math. Phys. 18, 349 (2006). 67 pages

[32] V. Moretti: Bose-Einstein condensate  and Spontaneous Breaking of  Conformal Symmetry on Killing Horizons II
J. Math. Phys. 47, 032302 (2006).
5 pages

[31] 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

[30] V. Moretti and N. PinamontiBose-Einstein condensate  and Spontaneous Breaking of  Conformal Symmetry on Killing Horizons
J. Math. Phys. 46, 062303 (2005) .
29 pages

[29] V. Moretti and N. PinamontiThe 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

[28] V. Moretti and N. PinamontiQuantum Virasoro algebra with central charge c=1 on the  horizon of a 2D Rindler spacetime 
J. Math. Phys. 45, 257  (2004). 28 pages

[27] V. Moretti and N. PinamontiHolography and  SL(2,R) symmetry in 2D Rindler spacetime. 
J. Math. Phys. 45,  230 (2004).  27 pages

[26] V. Moretti and N. PinamontiQFT 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.

[25] V. Moretti and N. PinamontiAspects of Hidden and manifest SL(2,R) symmetry in 2D near horizon  black hole background
Nucl.Phys.B 647, 131 (2002)
. 22 pages

[24] V. Moretti: Aspects of  noncommutative  Lorentzian  geometry for globally hyperbolic spacetimes
Rev.  Math. Phys. 15, 1171 (2003). 47 pages

[23] V. Moretti Comments on the stress-energy tensor operator in curved spacetime
Commun. Math. Phys. 232, 189 (2003). 33 pages

[22] 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

[21] 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

[20] 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

[19] 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

[18] 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

[17] V. Moretti : Localz-function techniques vs point-splitting procedures: a few rigorous results
Commun. Math. Phys. 201, 327 (1999). 37 pages

[16] 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

[15] 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

[14] D. Klemm, V. Moretti , L. Vanzo: Rotating topological black holes
Phys. Rev. D 57, 6127 (1998).
11 pages

[13] 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).

[12] V. Moretti and D. Iellici : Optical Approach for the thermal Partition Function of Photons
Phys. Rev.D 55, 3552 (1997).
11 pages

[11] V. Moretti : Direct  z-function approach and renormalization of one-loop stress tensor in curved spacetimes
Phys. Rev.D 56, 7797 (1997).
23 pages

[10] 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

[9] V. Moretti : Geometric entropy and curvature coupling in conical spaces: z-function approach
Class.Quant.Grav. 14 L123 (1997).
5 pages

[8] V. Moretti : Canonical Quantization of Photons in a Rindler Wedge
J. Math. Phys. 38, 2922 (1997).
32 pages

[7] 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.

[6] D. Iellici and V. Moretti : Thermal partition function of photons and gravitons in a Rindler wedge
Phys.Rev.D 54, 7459 (1996).
5 pages

[5] 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

[4] 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).

[3] V. Moretti : Wightman Functions' Behaviour on the Horizon of an ExtremalReisner-Nordstrom Black Hole
Class. Quant. Grav. 13, 985 (1996).
22 pages

[2] V. Moretti and L.Vanzo : Thermal Wightman Functions and Renormalized Stress Tensors in the Rindler Wedge
Phys. Lett.B 375, 54
(1996). 6 pages

unpublished papers
[1] V. Moretti On gran canonical Green Functions in Rindler wedge



Reviews of research papers and Books I have authored

for Mathematical Reviews  (American Mathematical Society)    
for Zentralblatt MATH (European Mathematical Society)



Lecture Notes in LaTeX