2011/12/30 by Yongqin Wang, Wang, Yongqin, Lifeng Kang +1
Engineering · Physics and Astronomy · #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Physics (physics.gen-ph) #Geophysics and Sensor Technology #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.1201.0136
openalex publication_date 2011/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article, we discard the bra-ket notation and its correlative definitions, given by Paul Dirac. The quantum states are only described by the wave functions. The fundamental concepts and definitions in quantum mechanics is simplified. The operator, wave functions and square matrix are represented in the same expression which directly corresponds to the system of equations without additional introduction of the matrix representation of operator. It can make us to convert the operator relations into the matrix relations. According to the relations between the matrices, the matrix elements will be determined. Furthermore, the first order differential equations will be given to find the solution of equations. As a result, we unified the descriptions of the matrix mechanics and the wave mechanics.