洛伦兹不变哈密顿量与黎曼假设
Lorentz-Invariant Hamiltonian and Riemann Hypothesis
摘要：
我们已经给出了一些论点，二维洛伦兹不变的哈密顿量可能是有关黎曼zeta函数零点的黎曼假设。洛伦兹群的无限维表示所对应的哈密顿量的某些本征函数具有许多有趣的性质。特别地，零zeta函数条件和在波函数中不存在平凡表示之间存在关系。
英文摘要：
We have given some arguments that a two-dimensional Lorentz-invariant Hamiltonian may be relevant to the Riemann hypothesis concerning zero points of the Riemann zeta function. Some eigenfunction of the Hamiltonian corresponding to infinite-dimensional representation of the Lorentz group have many interesting properties. Especially, a relationship exists between the zero zeta function condition and the absence of trivial representations in the wave function.
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