4.6 Article

Derivation of Pauli Equation and its Bipartite Form based on Budiyono-Rohrlich Ontic Extension and Epistemic Restriction of Statistical Model of Quantum Mechanics

Journal

CHINESE JOURNAL OF PHYSICS
Volume 75, Issue -, Pages 246-255

Publisher

ELSEVIER
DOI: 10.1016/j.cjph.2020.11.004

Keywords

Statistical Model of Quantum Mechanics; Ontic Extension; Epistemic Restriction; Pauli Equation; Peres-Horodecki Positive Partial Transpose

Funding

  1. Peningkatan Potensi Akademik scholarship program from the Government of the Republic of Indonesia
  2. Directorate for Higher Education, Ministry of Education and Culture, Republic of Indonesia [1/E1/KP, 3989/IT3, L1/PN/2020]

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In this report, we derive the Pauli equation for a spin-1/2 particle and discuss the possibility of constructing a bipartite Pauli equation for two nonlocal interacting spin-1/2 particles.
In this report, we discuss a possible way to derive the Pauli equation of a spin-1/2 particle based on Budiyono-Rohrlich ontic extension and epistemic restriction axioms of a statistical model of quantum mechanics. Applying the conservation of energy and probability continuity equation, we show that for a pure quantum mechanical particle spin, the corresponding equation can be reconstructed by assuming the existence of separable probability distribution functions of spin. The associated particle spin is still considered as a pure quantum phenomenon which has no classical counterpart. We also discuss the possibility of constructing a bipartite Pauli equation of nonlocal interacting two spin-1/2 particles. We examine the corresponding necessary conditions for the separability of the Bell-like-states and Werner-like-states through the Peres-Horodecki positive partial transpose criterion.

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