• From $\mathcal{PT}$ -symmetric quantum mechanics to conformal field theory

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/073/02/0217-0239

• # Keywords

Parity; time-reversal; $\mathcal{PT}$ symmetry; integrable models; quantum mechanics.

• # Abstract

One of the simplest examples of a $\mathcal{PT}$-symmetric quantum system is the scaling Yang–Lee model, a quantum field theory with cubic interaction and purely imaginary coupling. We give a historical review of some facts about this model in $d \leq 2$ dimensions, from its original definition in connection with phase transitions in the Ising model and its relevance to polymer physics, to the role it has played in studies of integrable quantum field theory and $\mathcal{PT}$-symmetric quantum mechanics. We also discuss some more general results on $\mathcal{PT}$-symmetric quantum mechanics and the ODE/IM correspondence, and mention applications to magnetic systems and cold atom physics.

• # Author Affiliations

1. Department of Mathematical Sciences, Durham University, Durham DH1 3LE, UK
2. IMSAS, University of Kent, Canterbury CT2 7NF, UK
3. Dip. di Fisica Teorica and INFN, Università di Torino, Via P. Giuria 1, 10125 Torino,Italy

• # Pramana – Journal of Physics

Volume 95, 2021
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019

Click here for Editorial Note on CAP Mode

© 2021-2022 Indian Academy of Sciences, Bengaluru.