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In 1925, quantum mechanics was put on solid ground when Erwin Schrödinger discovered the equation that is named after him today. It was then clear that the analytical expression of the wave associated to a quantum particle, with mass m, could be calculated by solving the Schrödinger equation. This chapter provides a fast and traditional introduction to non-relativistic quantum mechanics.

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  1. D.J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, USA, 1995)

    MATH  Google Scholar 

  2. D. Bohm, Quantum Theory, 11th edn. (Prentice -Hall, USA, 1964)

    Google Scholar 

  3. A.S. Davydov, Quantum Mechanics (Pergamon Press, USA, 1965)

    Google Scholar 

  4. Schrödinger equation (Wikipedia), Accessed 10 April 2023

  5. Wavefunctions (Wikipedia),,on%20the%20system%20can%20be%20derived%20from%20it. Accessed 10 April 2023

  6. Interpretations (Wikipedia), Accessed 10 April 2023

  7. Pilot wave theory (Wikipedia), Accessed 10 April 2023

  8. Quantum mechanical operators (Wikipedia), Accessed 10 April 2023

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Correspondence to Luis Grave de Peralta .

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Grave de Peralta, L., Fernández Lozada, M., Farooq, H., Eichman, G., Singh, A., Prime, G. (2023). The Wave Equation. In: Relativistic and Non-Relativistic Quantum Mechanics. Undergraduate Lecture Notes in Physics. Springer, Cham.

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