#### Hall 123

#### Quantum theory of nonlocal nonlinear Schrodinger equation

#### Vivek Vyas

##### IMSC

*In this talk, the quantum (field) theory of*

nonlocal nonlinear Schrodinger model will be discussed. It will be shown

that the usual canonical quantisation of the model leads to a theory with

pathological inner product. This problem will be seen to be resolved by

constructing another inner product for the vector space of the theory. The

resultant theory will be shown to be identical to that of nonrelativistic

bosons with delta function interaction, and will be seen to be exactly

soluble. Although the

classical theory of this model is nonlocal, it will be seen that the quantum

theory is devoid of any nonlocality.

(Based on quant-ph/1511.03997)

Done