Derivations of Bloch (Majorana--Bloch) equation, von Neumann equation, and Schrödinger--Pauli equation

• URL: http://arxiv.org/abs/2407.08025v1
• Date: Wed, 10 Jul 2024 20:06:37 GMT
• Title: Derivations of Bloch (Majorana--Bloch) equation, von Neumann equation, and Schrödinger--Pauli equation
• Authors: Lihong V. Wang,
• Abstract summary: We derive the space-independent von Neumann equation for electron spin mathematically from the classical Bloch or Majorana--Bloch equation. The Schr"odinger--Pauli equation is derived in both the quantum mechanical and recently developed co-quantum dynamic frameworks.
• Score: 2.1030878979833467
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The transition from classical physics to quantum mechanics has been mysterious. Here, we derive the space-independent von Neumann equation for electron spin mathematically from the classical Bloch or Majorana--Bloch equation, which is also derived. Subsequently, the space-independent Schr\"odinger--Pauli equation is derived in both the quantum mechanical and recently developed co-quantum dynamic frameworks.

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