From Geometry of NHQM to No-Go Theorems

Chia-Yi Ju (National Chung Hsing University)

In the past decade, some studies have shown that many of the no-go theorems are violated in non-Hermitian quantum systems. However, many of these no-go theorems are closely related to the fundamental principles of quantum mechanics and the violations would lead to the denial of these fundamental principles. In the talk, we will revisit the Sch\"{o}dinger's equation and, from there, make a natural generalization of the Hermitian quantum mechanics. The generalized theory is not only compatible with non-Hermitian Hamiltonians but also can proven to be free from the known paradoxes.