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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pdf]

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49. Quantized reduction as a tensor product,
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50. Bicategories of operator algebras and Poisson manifolds,
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56. Deformation quantization and the Baum-Connes conjecture,
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57. Functorial quantization and the Guillemin-Sternberg conjecture,
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58. Quantum mechanics and representation theory: the new synthesis, Acta
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60. When champions meet: Rethinking the Bohr-Einstein debate.
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62. The Guillemin-Sternberg conjecture for noncompact groups and spaces
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63. Entries in the Compendium of Quantum Physics, Eds. D. Greenberger, K. Hentschel, and
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[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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66. Macroscopic observables and the Born rule, Rev. Math. Phys. 20, 1173-1190 (2008)

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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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70. The Gelfand spectrum of a noncommutative C*-algebra: a topos-theoretic approach
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71. A Flea on Schroedinger's Cat (with R. Reuvers), Found. Phys. 43, 373-407 (2013)

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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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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),
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77. Quantisation commutes with singular reduction: cotangent bundles of compact Lie groups (wit J. Boeijink and W. van Suijlekom),
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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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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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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,
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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
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85. Randomness? What Randomness? Foundations of Physics 50, 61-104 (2020)

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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), Rev. Math. Phys. (2020)

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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),
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[preprint]
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89. Undecidability, Uncomputability, and Unpredictability, co-winner, FQXi Essay Contest 2019-2020

[essay] [essay contest winners]