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The Bargmann representation for the quantum mechanics on a sphere

Quantum Physics 2015-06-26 v1

Abstract

The Bargmann representation is constructed corresponding to the coherent states for a particle on a sphere introduced in: K. Kowalski and J. Rembielinski, J. Phys. A: Math. Gen. 33, 6035 (2000). The connection is discussed between the introduced formalism and the standard approach based on the Hilbert space of square integrable functions on a sphere S^2.

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Cite

@article{arxiv.quant-ph/0011070,
  title  = {The Bargmann representation for the quantum mechanics on a sphere},
  author = {K. Kowalski and J. Rembielinski},
  journal= {arXiv preprint arXiv:quant-ph/0011070},
  year   = {2015}
}

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R2 v1 2026-07-22T19:29:19.916Z