Quantum mechanics and umbral calculus

  title={Quantum mechanics and umbral calculus},
  author={E. Lopez-Sendino and J. Negro and M. A. Olmo and E. Salgado},
In this paper we present the first steps for obtaining a discrete Quantum Mechanics making use of the Umbral Calculus. The idea is to discretize the continuous Schrodinger equation substituting the continuous derivatives by discrete ones and the space-time continuous variables by well determined operators that verify some Umbral Calculus conditions. In this way we assure that some properties of integrability and symmetries of the continuous equation are preserved and also the solutions of the… Expand
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