Abstract
Bopp pseudo-differential operators are the operators formally obtained from a symbol by the quantization rules
instead of the usual correspondence\(x \to x,\,p\, \to \, - i\rlap{--} h\partial _{x.}\) The terminology comes from the fact that the operators \( x + \frac{1} {2}i\rlap{--} h\partial _{p\,} \,\text{and}\,\,\text{p} - \frac{\text{1}} {\text{2}}\,i\rlap{--} h\partial _x \) are called “Bopp shifts” in the physics literature.
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© 2011 Springer Basel AG
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de Gosson, M.A. (2011). Bopp Pseudo-differential Operators. In: Symplectic Methods in Harmonic Analysis and in Mathematical Physics. Pseudo-Differential Operators, vol 7. Springer, Basel. https://doi.org/10.1007/978-3-7643-9992-4_18
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DOI: https://doi.org/10.1007/978-3-7643-9992-4_18
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