Mathematical Physics in One Dimension-Exactly Soluble Models of Interacting Particles, Academic Press, New York, 1966, 565頁, 18×24cm, 4,600円.

Élliott H. Lieb, Daniel Charles Mattis

Seth Grable, Noah Kamm, Harsh Mathur

Shang Yu, Yong-Nan Sun, Wei Liu +6 more

Wave-particle duality constitutes one of the most intriguing features in quantum physics. A well-known gedanken experiment that provides evidence for this is Wheeler's delayed-choice experiment based on a Mach-Zehnder interferometer [J. A. Wheeler, in Mathematical Foundations of Quantum Theory, edited by A. R. Marlow (Academic, New York, 1978), pp. 9--48; in Quantum Theory and Measurement, edited by J. A. Wheeler and W. H. Zurek (Princeton University Press, Princeton, 1984), pp. 182--213]. Many different versions of delayed-choice experiments have been conducted with both classical and quantum detecting devices. Recently, it was proposed that the delayed-choice experiment could be devised from the perspective of a device-independent prepare-and-measure scenario [R. Chaves et al., Causal Modeling the Delayed-Choice Experiment, Phys. Rev. Lett. 120, 190401 (2018)]. In our work, we experimentally realize this modified version with a deterministic single-photon source and examine the wave-particle objective in a causal-modeled scheme without the assistance of entanglement, which is achieved by violating the dimension-witness inequalities. Our experiment also provides an intriguing perspective and exhibits the benefits of studying quantum theory from the casual model point of view.

Élliott H. Lieb

The early history of exactly soluble models in statistical mechanics and the quantum-mechanical many-body problem, especially in the 1960's, is briefly reviewed.

G. M. Schneider

R.L. Heimann

B D'Espagnat New York: Academic Press 1972 pp xiv + 480 price $29·50 The philosophical meaning of quantum mechanics has never been convincingly established. This volume, the proceedings of the Enrico Fermi summer school at Varenna in 1970, consists of articles presenting many different aspects and approaches to the problems, as well as many 'answers' written by distinguished scientists and logicians interested in these questions.