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arXiv 0811.0435nucl-thquant-ph
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原子核中一种新的基本对偶性及其对量子力学的意义

A New Fundamental Duality in Nuclei and its Implications for Quantum Mechanics

S. Afsar Abbas

摘要:

已知液滴模型(LDM)和独立粒子模型(IPM)提供了两种相互矛盾的原子核图像。IPM是量子力学的,被认为提供了原子核的基本图像,因此一直是仍然难以捉摸的原子核统一理论的焦点。据信,LDM充其量是一个有效的和有限的核模型。在这里,通过一个核子分离能的全面研究,我们给出了令人信服的证据,实际上LDM是作为基本的和基本的描述的核的IPM是。因此,LDM和IPM同时提供了核现象的共存互补二元性。这种基本的对偶性也为几十年前的Coester Band核问题提供了解决方案。指出了与玻尔互补原理中所设想的著名的波粒二象性的异同。此后讨论了这种新的对偶性对量子力学的影响。

英文摘要:

The Liquid Drop Models (LDM) and the Independent Particle Models (IPM) have been known to provide two conflicting pictures of the nucleus. The IPM being quantum mechanical, is believed to provide a fundamental picture of the nucleus and hence has been focus of the still elusive unified theory of the nucleus. It is believed that the LDM at best is an effective and limited model of the nucleus. Here, through a comprehensive study of one nucleon separation energy, we give convincing evidence that actually the LDM is as fundamental and as basic for the description of the nucleus as the IPM is. As such the LDM and the IPM provide simultaneously co-exiting complementary duality of the nuclear phenomena. This fundamental duality also provides solution to the decades old Coester Band problem in the nucleus. Similarity and differences with respect to the well known wave-particle duality, as envisaged in Bohr's Complementarity Principle, is pointed out. Thereafter implications of this new Duality in the nucleus for quantum mechanics is discussed.

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