真实希尔伯特空间量子力学中的期望值动力学

IF 1.7 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2025-09-17 DOI:10.1007/s10773-025-06111-5

Sergio Giardino

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引用次数: 0

摘要

关于物理期望值的动力学方程已经在量子力学的实希尔伯特空间方法的条件下进行了检验。所考虑的情况包括复波函数，以及四元数波函数。用连续性方程、经典极限、量子洛伦兹力的推广和维里定理验证了该形式的一致性。除了验证实数Hilbert空间方法的一致性外，还引入了广义位置算子和角动量算子，为进一步的研究提供了令人兴奋的方向。

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Expectation Value Dynamics Within Real Hilbert Space Quantum Mechanics

Dynamic equations concerning physical expectation values have been examined in terms of the real Hilbert space approach to quantum mechanics. The considered cases involve complex wave functions, as well as quaternionic wave functions. The consistency of the formalism has been verified in terms of the continuity equation, the classical limit, and generalizations of the quantum Lorentz force, and the Virial theorem. Besides testing the consistency of the real Hilbert space approach, generalized position and angular momentum operators have been introduced, and inspire exciting directions for further research.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.