84 citations · 499 across the 40 of their papers we have counts for
39 papers
Spontaneous Symmetry Breaking in Quantum Systems: Emergence or Reduction?
N. P. Landsman
Beginning with Anderson (1972), spontaneous symmetry breaking (SSB) in infinite quantum systems is often put forward as an example of (asymptotic) emergence in physics, since in th…
Quantization and superselection sectors III: Multiply connected spaces and indistinguishable particles
N. P., Landsman
We reconsider the (non-relativistic) quantum theory of indistinguishable particles on the basis of Rieffel's notion of C*-algebraic (`strict') deformation quantization. Using this…
The Gelfand spectrum of a noncommutative C*-algebra: a topos-theoretic approach
Chris Heunen, Nicolaas P. Landsman, Bas Spitters +1
We compare two influential ways of defining a generalized notion of space. The first, inspired by Gelfand duality, states that the category of 'noncommutative spaces' is the opposi…
Bohrification
Chris Heunen, Nicolaas P. Landsman, Bas Spitters
New foundations for quantum logic and quantum spaces are constructed by merging algebraic quantum theory and topos theory. Interpreting Bohr's "doctrine of classical concepts" math…
Bohrification of operator algebras and quantum logic
Chris Heunen, Nicolaas P. Landsman, Bas Spitters
Following Birkhoff and von Neumann, quantum logic has traditionally been based on the lattice of closed linear subspaces of some Hilbert space, or, more generally, on the lattice o…
Intuitionistic quantum logic of an n-level system
Martijn Caspers, Chris Heunen, Nicolaas P. Landsman +1
A decade ago, Isham and Butterfield proposed a topos-theoretic approach to quantum mechanics, which meanwhile has been extended by Doering and Isham so as to provide a new mathemat…