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# Nonlinear bound states with prescribed angular momentum

journal contribution

posted on 2024-05-30, 15:56 authored by Irina NenciuIrina Nenciu, Xiaoan Shen, Christof SparberChristof SparberWe prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrödinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is obtained via a doubly constrained energy minimization. One of the two constraints imposed is the total mass, while the other is given by the expectation value of the angular momentum around the z-axis. Our approach also allows for a new description of the set of minimizers subject to only a single mass constraint.

## Funding

### Analysis of Mathematical Models for Quantum Many-body systems and New States of Matter | Funder: Simons Foundation | Grant ID: 851720

## History

## Citation

Nenciu, I., Shen, X.Sparber, C. (2024). Nonlinear bound states with prescribed angular momentum. Calculus of Variations and Partial Differential Equations, 63(1), 1-. https://doi.org/10.1007/s00526-023-02599-z## Publisher

Springer Nature## Language

- en