Foundations of Quantum Theory: From Classical Concepts to Operator Algebras
(Springer Open Access)

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The Challenge of Chance (Springer Open Access)

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1. Consistent real-time propagators for any spin, mass, temperature and density, Physics
Letters B172, 46-48 (1986).

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2. Real- and imaginary-time field theory at finite temperature and density,
Phys. Rep. 145, 141-249 (1987).

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3. Hilbert space and propagator in thermal field theory, Physical Review Letters 60,
1909-1912 (1988).

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4. Non-shell unstable particles in thermal field theory, Annals of Physics (N.Y.) 186,
141-205 (1988).

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6. Limitations to dimensional reduction at high temperature, Nuclear Physics B322,
498-530 (1989).

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7. Large-mass and high-temperature behaviour in perturbative quantum field theory,
Communications in Mathematical Physics 125, 643-660 (1989).

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8. Dimensional reduction at high temperature revisited (with E.L.M. Koopman), Physics
Letters B223, 421-424 (1989).

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9. A gauge-independent coupling constant in thermal QCD, Physics Letters B232,
240-246 (1989).

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10. C*-algebraic quantization and the origin of topological quantum effects, Letters
in Mathematical Physics 20, 11-18 (1990).

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11. Quantization and superselection sectors I. Transformation group algebras, Reviews in Mathematical Physics 2, 45-72 (1990).

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12. Quantization and superselection sectors II. Dirac Monopole and Aharonov-Bohm
effect, Reviews in Mathematical Physics 2, 73-104 (1990).

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14. The geometry of inequivalent quantizations (with N. Linden), Nuclear Physics B365,
121-160 (1991).

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15. Superselection rules from Dirac and BRST quantization of constrained systems (with
N. Linden), Nuclear Physics B371, 415-433 (1992).

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16. Induced representations, gauge fields, and quantization on homogeneous spaces,
Reviews in Mathematical Physics 4, 503-528 (1992).

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19. Deformations of
algebras of observables and the classical limit of quantum mechanics,
Rev. Math. Phys 5, 775-806 (1993).

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20. Quantization and classicization: from Jordan-Lie algebras of
observables to gauge fields, Class. Quantum Gravity
10, S101-S108 (1993).

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22. Strict
deformation quantization of a particle in external gravitational and
Yang-Mills fields, J. Geom. Phys. 12,
93-132 (1993).

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23. Classical and quantum representation theory,
Proc. Sem. Math. Struct. Field Theory 1989-1990,
CWI-syllabus nr 39, 135-163 (1996)

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24. Robustness in quantum measurements,
J. Math. Phys. 34, 5441--5450 (1993)

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26. Rieffel
induction as generalized quantum Marsden-Weinstein
reduction, J. Geom. Phys. 15, 285-319 (1995)

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27. Observation and superselection in quantum mechanics, Stud.
Hist. Phil. Mod. Phys. 26, 45-73 (1995)

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28. Massless particles, electromagnetism, and Rieffel induction,
Rev. Math. Phys. 7, 923-958 (1995)

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29. The Stueckelberg-Kibble model as an example of quantized
symplectic reduction, J. Math. Phys. 37, 2731-2747 (1996)

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30. Local Quantum Physics, Stud.
Hist. Phil. Mod. Phys. 27, 511-525 (1996)

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31. Classical behaviour in quantum mechanics: a transition
probability approach, Int. J. Mod. Phys. B10, 1545-1554 (1996)

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32. Against the Wheeler-DeWitt equation,
Class. Quantum Grav. 12, L119-L123 (1995)

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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

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34. Poisson spaces with a transition probability,
Rev. Math. Phys. 9, 29-57 (1997)

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35. Simple new axioms for quantum mechanics, Proc. Quantum
Structures '96, Plenum Press, 1997

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37. Constrained quantization and theta-angles, Nucl. Phys. B502, 537-560
(1997)

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38. Quantum Mechanics on Phase Space, Stud.
Hist. Phil. Mod. Phys. 30, 287-305 (1999)

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39. Constrained
quantization in algebraic field theory, Proc. XIIth
International Congress of Mathematical Physics,
Brisbane 1997

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40. Representations of the infinite unitary group from
constrained quantization, J. Nonlin. Math. Phys. 6, 1-20 (1999)

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41. Lie groupoid C*-algebras and Weyl quantization, Commun. Math. Phys.
206, 367-381 (1999)

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42. Strict quantization of coadjoint orbits, J. Math. Phys.
39, 6372-6383 (1998)

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43. Twisted Lie group C*-algebras as strict quantizations, Lett. Math. Phys.
46, 181-188 (1998)

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44. Quantization of singular systems and incomplete motions,
in Current Topics in Mathematical Cosmology

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45. Hall's coherent states, the Cameron-Martin theorem, and the
quantization of Yang-Mills theory on a circle,
Proc. Bialowieza 1998

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46. Comment on ``What is a gauge transformation in quantum mechanics?''
by C. Rovelli,
Phys. Rev. Lett. 83, 1070 (1999)

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47. Compact quantum groupoids, Proc.
Goslar 1999

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48.
Quantization of Poisson algebras associated to Lie algebroids,
Proc. Boulder 1999

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49. Quantized reduction as a tensor product,
Proc. Oberwolfach 1999

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50. Bicategories of operator algebras and Poisson manifolds,
Proc. Siena 2000

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51. The Muhly-Renault-Williams theorem for Lie groupoids and
its classical counterpart, Lett. Math. Phys. 54, 43-59 (2000)

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52. Operator algebras and
Poisson manifolds associated to groupoids, Comm. Math. Phys.
222, 97-116 (2001)

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53. Getting even with Heisenberg, Stud. Hist. Phil. Mod. Phys.
33, 297-325 (2002)

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54. Quantization as a functor, Proc Manchester 2001

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55. Quantization and the tangent groupoid, Proc Constanta 2001

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56. Deformation quantization and the Baum-Connes conjecture,
Comm.Math.Phys. 237, 87-103 (2003)

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57. Functorial quantization and the Guillemin-Sternberg conjecture,
Twenty Years of Bialowieza (2005)

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58. Quantum mechanics and representation theory: the new synthesis, Acta
Applicandae Mathematica 81, 167-189 (2004)

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59. Lie groups and Lie algebroids in physics and noncommutative geometry.
J. Geometry and Physics 56, 24-54 (2006).

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60. When champions meet: Rethinking the Bohr-Einstein debate.
Stud. Hist. Phil. Mod. Phys. 37, 212-242 (2006).

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[ DOI ]

61. Between classical and quantum, Handbook of the Philosophy of Science
Vol. 2: Philosophy of Physics, Part A, pp. 417-553 (2007).

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62. The Guillemin-Sternberg conjecture for noncompact groups and spaces
(with P. Hochs), J. of K-Theory 1, 473-533 (2008).

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[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

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65. A topos for algebraic quantum theory (with C. Heunen and B. Spitters), Commun. Math. Phys. 291, 63-110 (2009)

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66. Macroscopic observables and the Born rule, Rev. Math. Phys. 20, 1173-1190 (2008)

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67. Intuitionistic quantum logic of an n-level system (with M. Caspers, C. Heunen and B. Spitters), Found. Phys. 39, 731-759 (2009)

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68. The Bohrification of operator algebras and quantum logic (with C. Heunen and B. Spitters), Synthese 186, 719-752 (2012)

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69. Bohrification (with C. Heunen and B. Spitters), in "Deep Beauty" (ed. H. Halvorson)

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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)

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71. A Flea on Schroedinger's Cat (with R. Reuvers), Found. Phys. 43, 373-407 (2013)

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72. Quantization and superselection sectors III: Multiply connected spaces and indistinguishable particles, Rev. Math. Phys.
28, 1650019 (2016)

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73. Spontaneous symmetry breaking in quantum systems: Emergence or reduction?, Stud. Hist. Phil. Mod. Phys. 44, 379-394 (2013)

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74. Constraints on determinism: Bell versus Conway & Kochen (with E. Cator), Found. Phys. 44, 781-791 (2014)

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75. The Fine-Tuning Argument, in The Challenge of Chance, eds. Klaas Landsman and Ellen van Wolde (Springer, 2016)

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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)

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77. Quantisation commutes with singular reduction: cotangent bundles of compact Lie groups (wit J. Boeijink and W. van Suijlekom),
to appear in Rev. Math. Phys. (2019)

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78. On the notion of free will in the Free Will Theorem, SHPMP 57, 98-103 (2017)

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79. On the Colbeck-Renner Theorem, J. Math. Phys. 56, 122103 (2015)

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publication

80. Bohrification: From classical concepts to commutative algebras, in: Niels Bohr in the 21st Century, eds. J. Faye, J. Folse

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81. The Kadison-Singer conjecture (with M. Stevens), Nieuw Archief voor Wiskunde 17, 41-46 (2016)

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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.

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83. The logic of quantum mechanics (revisited), New Spaces in Mathematics and Physics: Formal and Philosophical Reflections, eds. G. Catren and M. Anel (Springer, 2018), in press

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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).

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85. Randomness? What Randomness?

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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)

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87. Quantum theory and functional analysis. To appear in the Oxford Handbook of the History of Interpretations and Foundations of Quantum Mechanics, ed. O. Freire (Oxford University Press, 2021).

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88. (No) Wigner Theorem for C*-algebras (with K. Rang), to appear in Reviews in Mathematical Physics,

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