Definite Answer for Riemann Hypothesis Zeta 3/2 Function Provided by New Material Yb2Si2O7 in Quantum Mechanics  

作　　者：Hung-Te Henry Su Po-Han Lee Hung-Te Henry Su;Po-Han Lee(Department of Physics, National Chung Cheng University, Chia-Yi City;Department of Electro-Optical Engineering, National Taipei University of Technology, Taipei City;The Affiliated Senior High School of National Taiwan Normal University, Taipei City)

机构地区：[1]Department of Physics, National Chung Cheng University, Chia-Yi City [2]Department of Electro-Optical Engineering, National Taipei University of Technology, Taipei City [3]The Affiliated Senior High School of National Taiwan Normal University, Taipei City

出　　处：《Journal of Modern Physics》2024年第9期1409-1429,共21页现代物理（英文）

摘　　要：This paper indicates the problem of the famous Riemann hypothesis (RH), which has been well-verified by a definite answering method using a Bose-Einstein Condensate (BEC) phase. We adopt mathematical induction, mappings, and laser photons governed by electromagnetically induced transparency (EIT) to examine the existence of the RH. In considering the well-developed as Riemann zeta function, we find that the existence of RH has a corrected and self-consistent solution. Specifically, there is the only one pole at s = 1 on the complex plane for Riemann’s functions, which generalizes to all non-trivial zeros while s > 1. The essential solution is based on the BEC phases and on the nature of the laser photon(s). This work also incorporates Heisenberg commutators [ x^,p^]=1/2in the field of quantum mechanics. We found that a satisfactory solution for the RH would be incomplete without the formalism of Heisenberg commutators, BEC phases, and EIT effects. Ultimately, we propose the application of qubits in connection with the RH.This paper indicates the problem of the famous Riemann hypothesis (RH), which has been well-verified by a definite answering method using a Bose-Einstein Condensate (BEC) phase. We adopt mathematical induction, mappings, and laser photons governed by electromagnetically induced transparency (EIT) to examine the existence of the RH. In considering the well-developed as Riemann zeta function, we find that the existence of RH has a corrected and self-consistent solution. Specifically, there is the only one pole at s = 1 on the complex plane for Riemann’s functions, which generalizes to all non-trivial zeros while s > 1. The essential solution is based on the BEC phases and on the nature of the laser photon(s). This work also incorporates Heisenberg commutators [ x^,p^]=1/2in the field of quantum mechanics. We found that a satisfactory solution for the RH would be incomplete without the formalism of Heisenberg commutators, BEC phases, and EIT effects. Ultimately, we propose the application of qubits in connection with the RH.

关 键 词：BEC Phases EIT Heisenberg Commutators Laser Photons QUBITS Riemann Hypothesis 

分 类 号：O17[理学—数学]