## SciPost Submission Page

# Quasimomentum of an elementary excitation for a system of point bosons under zero boundary conditions

### by Maksim Tomchenko

### Submission summary

As Contributors: | Maksim Tomchenko |

Preprint link: | scipost_201905_00003v1 |

Date submitted: | 2019-05-14 |

Submitted by: | Tomchenko, Maksim |

Submitted to: | SciPost Physics |

Domain(s): | Theoretical |

Subject area: | Quantum Physics |

### Abstract

As is known, an elementary excitation of a many-particle system with boundaries is not characterized by a definite momentum. We obtain the formula for the quasimomentum of an elementary excitation for a one-dimensional system of $N$ spinless point bosons under zero boundary conditions (BCs). In this case, we use the Gaudin's solutions obtained with the help of the Bethe ansatz. We have also found the dispersion laws of particle-like and hole-like excitations under zero BCs. They coincide with the known dispersion laws obtained for periodic BCs.

###### Current status:

Editor-in-charge assigned