Energy quantization is the main basic concept in teaching quantum treatments of the simple harmonic motion for physics as well as chemistry students. This concept had already different impacts in the fields of computational physics and chemistry as well. In this communication, we note that displacement is also quantized. This displacement quantization could have some different impacts with physical meanings other than those of the energy quantization. We here show that quantum mechanical treatments of the simple harmonic oscillator predict that the root mean square displacement in any quantum state (Χrms)n could be mathematically derived in the following formula (Χrms)n = ( Χrms)0 ( n = 0,1,2,3,….) where (Χrms)0 is the root mean square displacement in the (n = 0) quantum state which can be defined as the zero point displacement , that is the displacement at the absolute zero . Therefore this shows that displacement in the simple harmonic motion could be also considered as a quantization concept.

Displacement quantization in the simple harmonic motion

251st National Meeting (2016)

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