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Title:
Holographic Realization of the Prime Number Quantum Potential
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Abstract:
I present a discussion of the experimental realization with holographic techniques of the prime number quantum potential, defined as the potential entering the single-particle Schrödinger Hamiltonian with eigenvalues given by the first N prime numbers. A spatial light modulator is used to tailor the potential to the desired shape. We also implement the potential having as eigenvalues the first lucky numbers, a sequence of integers generated by a different sieve than the familiar Eratosthenes's sieve used for the primes. These results increase in perspective the possibilities to set up quantum systems for arithmetic manipulations or mathematical tests involving prime numbers.
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