Affiliation:
1. University of Trento
2. Radboud University Nijmegen
3. University of Cambridge
Abstract
Spontaneous symmetry breaking (ssb) is mathematically tied to some
limit, but must physically occur, approximately, before
the limit. Approximate ssb has been independently understood for
Schrödinger operators with double well potential in the
classical limit (Jona-Lasinio et al, 1981; Simon, 1985)
and for quantum spin systems in the thermodynamic limit
(Anderson, 1952; Tasaki, 2019). We relate these to each other in the
context of the Curie–Weiss model, establishing a remarkable relationship
between this model (for finite NN)
and a discretized Schrödinger operator with double well potential.
Subject
General Physics and Astronomy
Cited by
9 articles.
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