The geometrical properties of parity and time reversal operators in two dimensional spaces

التفاصيل البيبلوغرافية
العنوان: The geometrical properties of parity and time reversal operators in two dimensional spaces
المؤلفون: Yu Yang, Min-yi Huang, Minhyung Cho, Junde Wu
المصدر: Applied Mathematics-A Journal of Chinese Universities. 34:173-183
بيانات النشر: Springer Science and Business Media LLC, 2019.
سنة النشر: 2019
مصطلحات موضوعية: Pure mathematics, Operator (computer programming), Quadric, 010308 nuclear & particles physics, Applied Mathematics, 0103 physical sciences, Parity (physics), 010306 general physics, 01 natural sciences, Self-adjoint operator, Mathematics
الوصف: The parity operator P and time reversal operator T are two important operators in the quantum theory, in particular, in the PT-symmetric quantum theory. By using the concrete forms of P and T, we discuss their geometrical properties in two dimensional spaces. It is showed that if T is given, then all P links with the quadric surfaces; if P is given, then all T links with the quadric curves. Moreover, we give out the generalized unbroken PT-symmetric condition of an operator. The unbroken PT-symmetry of a Hermitian operator is also showed in this way.
تدمد: 1993-0445
1005-1031
URL الوصول: https://explore.openaire.eu/search/publication?articleId=doi_________::6928a15a3029e8c2cd1d4baa531b7bb6
https://doi.org/10.1007/s11766-017-3568-6
حقوق: CLOSED
رقم الأكسشن: edsair.doi...........6928a15a3029e8c2cd1d4baa531b7bb6
قاعدة البيانات: OpenAIRE