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<p>A theory of quantum jumps is developed using a new asymmetric equation, which is complementary to the Schrödinger equation. The new equation is a mathematical form of Bohr’s rule for quantum jumps, and its solutions demonstrate that once a quantum jump takes place at a random time, then its evolution is continuous and coherent. The temporal solutions are used to determine time-scales of the quantum jumps, which are found to be not instantenous but finite. The spatial solutions are used to obtain the radial probability density for an electron after its jump. The obtained results are applied to the Lyman and Balmer series, and their experimental verification is discussed.</p>

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A theory of quantum jumps and its applications to Lyman and Balmer series

  • 期刊论文

  • 发表日期：

    2025年7月14日

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  • Z. E. Musielak

摘要

A theory of quantum jumps is developed using a new asymmetric equation, which is complementary to the Schrödinger equation. The new equation is a mathematical form of Bohr’s rule for quantum jumps, and its solutions demonstrate that once a quantum jump takes place at a random time, then its evolution is continuous and coherent. The temporal solutions are used to determine time-scales of the quantum jumps, which are found to be not instantenous but finite. The spatial solutions are used to obtain the radial probability density for an electron after its jump. The obtained results are applied to the Lyman and Balmer series, and their experimental verification is discussed.