https://doi.org/10.1140/epjp/s13360-021-02051-1
Regular Article
Contact interactions: the two-dimensional case
1
Mathematics Department, Sapienza, Rome, Italy
2
Mathematics Area, Sissa, Trieste, Italy
Received:
23
September
2021
Accepted:
8
October
2021
Published online:
30
October
2021
We prove that in two dimensions the contact interaction of two wave functions is represented by a self-adjoint operator. Together with a confining potential, this provides a stable condensate of two-particle systems. Recall that in three dimensions one has a condensate of four wave functions in contact interaction (the Bose–Einstein condensate).
© The Author(s) 2021
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