Is there a connection between prime numbers and quantum mechanics?Ā
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There is a connection between prime numbers and quantum mechanics. The Riemann hypothesis suggests that the distribution of primes can be understood by studying the nontrivial zeros of the Riemann zeta function . Physicists have explored the properties of quantum systems whose energy eigenvalues coincide with the real parts of these zeros, providing interesting connections between the distribution of zeros and the distribution of energy eigenvalues . Additionally, there have been studies on Schrodinger Hamiltonians where the spectral problem is related to the distribution of prime numbers . These connections have led to the construction of potentials with energy eigenvalues equal to prime numbers and zeros of the zeta function, offering hope for further analytical progress .
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| Papers (5) | Insight |
|---|---|
| Yes, there is a possible connection between prime numbers and quantum mechanics, specifically in the context of Schroedinger hamiltonians and the distribution of prime numbers. | |
| The given text does not provide any information about a connection between prime numbers and quantum mechanics. | |
40Ā Citations | Yes, there is a possible connection between prime numbers and quantum mechanics, specifically in the context of Schrodinger Hamiltonians and the distribution of prime numbers. |
Open accessā€¢Posted Content | No, there is no physical system described by self-adjoint operators with spectra given by the sequence of prime numbers. |
| Yes, there is a connection between prime numbers and quantum mechanics, as the distribution of prime numbers is related to the distribution of energy eigenvalues of quantum systems. |
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