Corpus ID: 235458624

Equivalence of a harmonic oscillator to a free particle and Eisenhart lift

  title={Equivalence of a harmonic oscillator to a free particle and Eisenhart lift},
  author={S. Dhasmana and Abhijit Sen and Z. Silagadze},
It is widely known in quantum mechanics that solutions of the Schrödinger equation (SE) for a linear potential are in one-to-one correspondence with the solutions of the free SE. The physical reason for this correspondence is Einstein’s principle of equivalence. What is usually not so widely known is that solutions of the Schrödinger equation with harmonic potential can also be mapped to the solutions of the free Schrödinger equation. The physical understanding of this equivalence is not known… Expand
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