Exact Spectral Realization of the Riemann Zeta Zeros via a Self-Adjoint Quantum Hamiltonian

Key Points

• The aim is to establish a concrete connection between quantum mechanics and the distribution of Riemann zeta zeros.
• Developed a self-adjoint quantum Hamiltonian model.
• Analyzed the spectral properties to correlate with Riemann zeta zeros.
• Utilized mathematical techniques to obtain exact realizations.
• Successfully showed that the eigenvalues correspond to Riemann zeta zeros.
• Established connections that enhance understanding of quantum mechanics and number theory.
• Demonstrated the viability of the quantum approach to tackle classical problems.