Sahni Viraht
Department of Physics, Brooklyn College and The Graduate School of the City, University of New York, Brooklyn, New York, 11210, USA.
Chemphyschem. 2022 Sep 16;23(18):e202200160. doi: 10.1002/cphc.202200160. Epub 2022 Aug 17.
A complementary perspective to the Göttingen-Copenhagen interpretation of stationary-state quantum theory of electrons in an electromagnetic field is described. The perspective, derived from Schrödinger-Pauli theory, is that of the individual electron via its equation of motion or 'Quantal Newtonian' First Law. The Law is in terms of 'classical' fields experienced by each electron: the sum of the external and internal fields vanishes. The external field is a sum of the electrostatic and Lorentz fields. The internal field is a sum of fields' representative of Pauli and Coulomb correlations; kinetic effects; electron density; and internal magnetic component. The energy is obtained from these fields. The sources of the fields are expectation values of Hermitian operators. The perspective is elucidated by application to quantum dots in a magnetic field in a ground, excited singlet and triplet states. The relationship of the perspective to Quantal and traditional density functional theories is briefly explained.
本文描述了对电磁场中电子定态量子理论的哥廷根-哥本哈根解释的一种补充观点。该观点源自薛定谔-泡利理论，是从单个电子通过其运动方程或“量子牛顿”第一定律的角度出发的。该定律涉及每个电子所经历的“经典”场：外部场和内部场之和为零。外部场是静电场和洛伦兹场之和。内部场是代表泡利和库仑关联、动力学效应、电子密度以及内部磁分量的场之和。能量由这些场得出。场的源是厄米算符的期望值。通过将其应用于处于基态、激发单重态和三重态的磁场中的量子点来阐明这一观点。简要解释了该观点与量子和传统密度泛函理论的关系。
