Semantic Scholar Open Access 2002 1500 sitasi

Complex extension of quantum mechanics.

C. Bender D. Brody H. Jones

Lihat Sumber DOI

Abstrak

Requiring that a Hamiltonian be Hermitian is overly restrictive. A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but satisfies the less restrictive and more physical condition of space-time reflection symmetry (PT symmetry). One might expect a non-Hermitian Hamiltonian to lead to a violation of unitarity. However, if PT symmetry is not spontaneously broken, it is possible to construct a previously unnoticed symmetry C of the Hamiltonian. Using C, an inner product whose associated norm is positive definite can be constructed. The procedure is general and works for any PT-symmetric Hamiltonian. Observables exhibit CPT symmetry, and the dynamics is governed by unitary time evolution. This work is not in conflict with conventional quantum mechanics but is rather a complex generalization of it.

Topik & Kata Kunci

Physics Medicine Mathematics

Penulis (3)

C. Bender

D. Brody

H. Jones

Format Sitasi

APA MLA BibTeX

Bender, C., Brody, D., Jones, H. (2002). Complex extension of quantum mechanics.. https://doi.org/10.1103/PhysRevLett.89.270401

Akses Cepat

Lihat di Sumber doi.org/10.1103/PhysRevLett.89.270401

Informasi Jurnal

Tahun Terbit: 2002
Bahasa: en
Total Sitasi: 1500×
Sumber Database: Semantic Scholar
DOI: 10.1103/PhysRevLett.89.270401
Akses: Open Access ✓