LisMath Seminar 

24/10/2018, 17:00 — 18:00 — Room 6.2.33, Faculty of Sciences of the Universidade de Lisboa
Paulo Rocha, LisMath, Faculdade de Ciências

An introduction to PT-Symmetric Quantum Theory

Traditionally in quantum mechanics it is assumed that the Hamiltonian must be Hermitian in order to obtain real energy levels and unitary time evolution. Here we will show that the requirement of Hermiticity may be replaced by space-time reflection (PT-symmetry) without losing any of the essential physical features of quantum mechanics. In this seminar we will give an introduction to PT-symmetric quantum theory and work with some examples.

Bibliography:

[1] Carl M. Bender, Introduction to PT-Symmetric Quantum Theory.

[2] Carl M. Bender and Javad Komijani, Painlevé Transcendents and PT-Symmetric Hamiltonians.

[3] Dorje C. Brody, Consistency of PT-symmetric quantum mechanics.

See also

Presentation_PauloRocha.pdf