Journal
CHINESE JOURNAL OF PHYSICS
Volume 75, Issue -, Pages 246-255Publisher
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
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Funding
- Peningkatan Potensi Akademik scholarship program from the Government of the Republic of Indonesia
- 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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