Foundations of Quantum Theory: From Classical Concepts to Operator Algebras
(Springer Open Access)
[pdf]
The Challenge of Chance (Springer Open Access)
[
pdf]
1. Consistent real-time propagators for any spin, mass, temperature and density, Physics
Letters B172, 46-48 (1986).
[pdf]
2. Real- and imaginary-time field theory at finite temperature and density,
Phys. Rep. 145, 141-249 (1987).
[pdf]
3. Hilbert space and propagator in thermal field theory, Physical Review Letters 60,
1909-1912 (1988).
[pdf]
4. Non-shell unstable particles in thermal field theory, Annals of Physics (N.Y.) 186,
141-205 (1988).
[pdf]
6. Limitations to dimensional reduction at high temperature, Nuclear Physics B322,
498-530 (1989).
[pdf]
7. Large-mass and high-temperature behaviour in perturbative quantum field theory,
Communications in Mathematical Physics 125, 643-660 (1989).
[pdf]
8. Dimensional reduction at high temperature revisited (with E.L.M. Koopman), Physics
Letters B223, 421-424 (1989).
[pdf]
9. A gauge-independent coupling constant in thermal QCD, Physics Letters B232,
240-246 (1989).
[pdf]
10. C*-algebraic quantization and the origin of topological quantum effects, Letters
in Mathematical Physics 20, 11-18 (1990).
[pdf]
11. Quantization and superselection sectors I. Transformation group algebras, Reviews in Mathematical Physics 2, 45-72 (1990).
[pdf]
12. Quantization and superselection sectors II. Dirac Monopole and Aharonov-Bohm
effect, Reviews in Mathematical Physics 2, 73-104 (1990).
[pdf]
14. The geometry of inequivalent quantizations (with N. Linden), Nuclear Physics B365,
121-160 (1991).
[pdf]
15. Superselection rules from Dirac and BRST quantization of constrained systems (with
N. Linden), Nuclear Physics B371, 415-433 (1992).
[pdf]
16. Induced representations, gauge fields, and quantization on homogeneous spaces,
Reviews in Mathematical Physics 4, 503-528 (1992).
[pdf]
19. Deformations of
algebras of observables and the classical limit of quantum mechanics,
Rev. Math. Phys 5, 775-806 (1993).
[ps]
20. Quantization and classicization: from Jordan-Lie algebras of
observables to gauge fields, Class. Quantum Gravity
10, S101-S108 (1993).
[ps]
22. Strict
deformation quantization of a particle in external gravitational and
Yang-Mills fields, J. Geom. Phys. 12,
93-132 (1993).
[pdf]
23. Classical and quantum representation theory,
Proc. Sem. Math. Struct. Field Theory 1989-1990,
CWI-syllabus nr 39, 135-163 (1996)
[abs] [src] [ps]
[pdf]
24. Robustness in quantum measurements,
J. Math. Phys. 34, 5441--5450 (1993)
[pdf]
26. Rieffel
induction as generalized quantum Marsden-Weinstein
reduction, J. Geom. Phys. 15, 285-319 (1995)
[pdf]
27. Observation and superselection in quantum mechanics, Stud.
Hist. Phil. Mod. Phys. 26, 45-73 (1995)
[abs]
[ src] [ps]
[pdf]
28. Massless particles, electromagnetism, and Rieffel induction,
Rev. Math. Phys. 7, 923-958 (1995)
[abs] [src] [ps]
[pdf]
29. The Stueckelberg-Kibble model as an example of quantized
symplectic reduction, J. Math. Phys. 37, 2731-2747 (1996)
[abs] [src]
[ps]
[pdf]
30. Local Quantum Physics, Stud.
Hist. Phil. Mod. Phys. 27, 511-525 (1996)
[pdf]
31. Classical behaviour in quantum mechanics: a transition
probability approach, Int. J. Mod. Phys. B10, 1545-1554 (1996)
[abs] [src] [ps]
[pdf]
32. Against the Wheeler-DeWitt equation,
Class. Quantum Grav. 12, L119-L123 (1995)
[abs] [src] [ps]
[pdf]
33. The quantization of constrained systems: from symplectic
reduction to Rieffel induction, Proc.
XIV'th Workshop on Geometric Methods in Physics, Bia\l owieza, 1995
[abs] [src] [ps]
[pdf]
34. Poisson spaces with a transition probability,
Rev. Math. Phys. 9, 29-57 (1997)
[pdf]
35. Simple new axioms for quantum mechanics, Proc. Quantum
Structures '96, Plenum Press, 1997
[abs] [src] [ps]
[pdf]
37. Constrained quantization and theta-angles, Nucl. Phys. B502, 537-560
(1997)
[abs]
[src] [ps]
[pdf]
38. Quantum Mechanics on Phase Space, Stud.
Hist. Phil. Mod. Phys. 30, 287-305 (1999)
[ps]
[pdf]
39. Constrained
quantization in algebraic field theory, Proc. XIIth
International Congress of Mathematical Physics,
Brisbane 1997
[abs, src, ps]
40. Representations of the infinite unitary group from
constrained quantization, J. Nonlin. Math. Phys. 6, 1-20 (1999)
[ps]
41. Lie groupoid C*-algebras and Weyl quantization, Commun. Math. Phys.
206, 367-381 (1999)
[pdf]
42. Strict quantization of coadjoint orbits, J. Math. Phys.
39, 6372-6383 (1998)
[abs] [src]
[ps]
[pdf]
43. Twisted Lie group C*-algebras as strict quantizations, Lett. Math. Phys.
46, 181-188 (1998)
[pdf]
44. Quantization of singular systems and incomplete motions,
in Current Topics in Mathematical Cosmology
[abs] [src] [ps]
[pdf]
45. Hall's coherent states, the Cameron-Martin theorem, and the
quantization of Yang-Mills theory on a circle,
Proc. Bialowieza 1998
[abs] [src] [ps]
[pdf]
46. Comment on ``What is a gauge transformation in quantum mechanics?''
by C. Rovelli,
Phys. Rev. Lett. 83, 1070 (1999)
[pdf]
47. Compact quantum groupoids, Proc.
Goslar 1999
[abs] [src] [ps]
[pdf]
48.
Quantization of Poisson algebras associated to Lie algebroids,
Proc. Boulder 1999
[abs] [src] [ps]
[pdf]
49. Quantized reduction as a tensor product,
Proc. Oberwolfach 1999
[abs] [src] [ps]
[pdf]
50. Bicategories of operator algebras and Poisson manifolds,
Proc. Siena 2000
[abs] [src] [ps]
[pdf]
51. The Muhly-Renault-Williams theorem for Lie groupoids and
its classical counterpart, Lett. Math. Phys. 54, 43-59 (2000)
[pdf]
52. Operator algebras and
Poisson manifolds associated to groupoids, Comm. Math. Phys.
222, 97-116 (2001)
[pdf]
53. Getting even with Heisenberg, Stud. Hist. Phil. Mod. Phys.
33, 297-325 (2002)
[pdf]
54. Quantization as a functor, Proc Manchester 2001
[abs] [src]
[ps]
[pdf]
55. Quantization and the tangent groupoid, Proc Constanta 2001
[abs] [src]
[ps]
[pdf]
56. Deformation quantization and the Baum-Connes conjecture,
Comm.Math.Phys. 237, 87-103 (2003)
[pdf]
57. Functorial quantization and the Guillemin-Sternberg conjecture,
Twenty Years of Bialowieza (2005)
[abs] [src]
[ps]
[pdf]
58. Quantum mechanics and representation theory: the new synthesis, Acta
Applicandae Mathematica 81, 167-189 (2004)
[ps]
[pdf]
59. Lie groups and Lie algebroids in physics and noncommutative geometry.
J. Geometry and Physics 56, 24-54 (2006).
[pdf]
60. When champions meet: Rethinking the Bohr-Einstein debate.
Stud. Hist. Phil. Mod. Phys. 37, 212-242 (2006).
[abs] [src]
[ps]
[pdf]
[ DOI ]
61. Between classical and quantum, Handbook of the Philosophy of Science
Vol. 2: Philosophy of Physics, Part A, pp. 417-553 (2007).
[abs] [src]
[ps]
[pdf]
62. The Guillemin-Sternberg conjecture for noncompact groups and spaces
(with P. Hochs), J. of K-Theory 1, 473-533 (2008).
[abs] [src]
[ps]
[pdf]
[journal]
63. Entries in the Compendium of Quantum Physics, Eds. D. Greenberger, K. Hentschel, and
F. Weinert (Springer, 2009):
[Algebraic quantum mechanics, pp. 6-9]
[The Born rule and its interpretation, pp. 64-70]
[Quantization (systematic), pp. 510-513]
[Quasi-classical limit, pp. 626-629]
64. The principle of general tovariance (with C. Heunen and B. Spitters), Geometry and Physics, Proc. XVI Int. Fall Workshop, Lisbon 2007, pp. 93-102
[pdf]
65. A topos for algebraic quantum theory (with C. Heunen and B. Spitters), Commun. Math. Phys. 291, 63-110 (2009)
[pdf]
66. Macroscopic observables and the Born rule, Rev. Math. Phys. 20, 1173-1190 (2008)
[pdf]
67. Intuitionistic quantum logic of an n-level system (with M. Caspers, C. Heunen and B. Spitters), Found. Phys. 39, 731-759 (2009)
[pdf]
68. The Bohrification of operator algebras and quantum logic (with C. Heunen and B. Spitters), Synthese 186, 719-752 (2012)
[pdf]
69. Bohrification (with C. Heunen and B. Spitters), in "Deep Beauty" (ed. H. Halvorson)
[pdf]
70. The Gelfand spectrum of a noncommutative C*-algebra: a topos-theoretic approach
(with C. Heunen, B. Spitters, and S. Wolters), J. Australian Math. Soc.90, 32-59 (2011)
[pdf]
71. A Flea on Schroedinger's Cat (with R. Reuvers), Found. Phys. 43, 373-407 (2013)
[pdf]
72. Quantization and superselection sectors III: Multiply connected spaces and indistinguishable particles, Rev. Math. Phys.
28, 1650019 (2016)
[pdf]
73. Spontaneous symmetry breaking in quantum systems: Emergence or reduction?, Stud. Hist. Phil. Mod. Phys. 44, 379-394 (2013)
[pdf]
74. Constraints on determinism: Bell versus Conway & Kochen (with E. Cator), Found. Phys. 44, 781-791 (2014)
[pdf]
75. The Fine-Tuning Argument, in The Challenge of Chance, eds. Klaas Landsman and Ellen van Wolde (Springer, 2016)
[pdf]
76. A bounded transform approach to self-adjoint operators: Functional calculus and affiliated von Neumann algebras (with C. Budde),
Annals of Functional Analysis 7, 411-420 (2016)
[pdf]
77. Quantisation commutes with singular reduction: cotangent bundles of compact Lie groups (wit J. Boeijink and W. van Suijlekom),
Rev. Math. Phys. 31, 1950016 (2019)
[preprint]
[journal]
78. On the notion of free will in the Free Will Theorem, SHPMP 57, 98-103 (2017)
[pdf]
79. On the Colbeck-Renner Theorem, J. Math. Phys. 56, 122103 (2015)
[pdf]
publication
80. Bohrification: From classical concepts to commutative algebras, in: Niels Bohr in the 21st Century, eds. J. Faye, J. Folse
[pdf]
81. The Kadison-Singer conjecture (with M. Stevens), Nieuw Archief voor Wiskunde 17, 41-46 (2016)
[pdf]
82. Symmetries in exact Bohrification (with A.J. Lindenhovius), Realtity and Measurement in Algebraic Quantum Theory, eds. J. Butterfield, H. Halvorson, M. Redei, Y. Kitajima,
F. Buscemi, M. Ozawa (Springer, 2018),pp. 97-118.
[pdf]
83. The logic of quantum mechanics (revisited), New Spaces in Mathematics and Physics: Formal and Philosophical Reflections, eds. M. Anel and G. Catren, pp. 85-112 (Cambridge University Press, 2021),
[pdf]
84. Quantum spin systems versus Schroedinger operators: A case study in spontaneous symmetry breaking (with
C. J. F. van de Ven, G. C. Groenenboom, and R. Reuvers), SciPost 8, 022 (2020).
[preprint]
[journal]
85. Randomness? What Randomness? Foundations of Physics 50, 61-104 (2020)
[preprint] [journal]
86. Strict deformation quantization of the state space of M_k(C)with applications to the Curie--Weiss model (with V. Moretti and C.J.F. van de Ven), Rev. Math. Phys. 32, 2050031 (2020)
[preprint] [journal]
87. The axiomatization of quantum theory through functional analysis: Hilbert, von Neumann, and beyond. Oxford Handbook of the History of Interpretations and Foundations of Quantum Mechanics, ed. O. Freire, pp. 473-494. (Oxford University Press, 2021).
[pdf]
88. (No) Wigner Theorem for C*-algebras (with K. Rang),
Rev. Math. Phys. 32, 2050019 (2020),
[preprint]
[journal]
89. Indeterminism and undecidability, co-winner, FQXi Essay Contest 2019-2020 on Undecidability, Uncomputability, and Unpredictability
[essay] [essay contest winners] extended version, published in Undecidability, Uncomputability, and Unpredictability, eds. A. Aguirre, Z. Merali, D. Sloan, pp. 17-46 (Springer, 2021)
90. Singularities, black holes, and cosmic censorship: A tribute to Roger Penrose. Foundations of
Physics 51:42 (2021).
Open Access
91. Bohmian mechanics is not deterministic. Foundations of Physics 52:73 (2022)
Open Access
92. Reopening the Hole Argument, Philosophy of Physics 1(1): 6 (2023)
Open Access
93. Penrose's 1965 singularity theorem: From geodesic incompleteness to cosmic censorship, to appear in General Relativity and Gravitation, General Relativity and Gravitation 54:115 (2022).
preprint Open Access
94. Zwarte gaten en het werk van Roger Penrose (Black holes and the work of Roger Penrose), Nieuw Archief voor Wiskunde, september 2022, pp. 167-174.
[journal]
95. Typical = Random, Axioms 12(8), 727 (2023).
preprint
Open Access
96. Is mathematics like a game? (with Kirti Singh),
Journal for General Philosophy of Science (2025)
preprint with quotations translated,
preprint with quotations in original
97. Philosophy of Mathematical Physics (2025), Cambridge Elements in Philosophy of Physics (2026)
preprint
98. Rigour from rules: Deduction and definition in mathematical physics (2025)
preprint,
Invited contribution to The Philosophy of Rigour, eds. Dean Rickles and Karim Thebault (Routledge, to appear).
99. Irreversibility and randomness (with Nino Dekkers), submitted to Philosophy of Physics
preprint