@article{8708d1d19bde4287a6a0beac45f1d2c7,
title = "Enhanced binding through coupling to a quantum field",
abstract = "We consider an electron coupled to the quantized radiation field in the dipole approximation. Even if the Hamiltonian has no ground state at zero coupling, α = 0, the interaction with the quantized radiation field may induce binding. Under suitable assumptions on the external potential, we prove that there exists a critical constant α* ≥ 0 such that the Hamiltonian has a unique ground state for arbitrary α| > α*. Moreover an explicit lower bound αc of α* is given.",
author = "Fumio Hiroshima and Herbert Spohn",
note = "Funding Information: Hence (4.30) holds on C0∞(Rd) ⊗alg [Ffin ∩ D(Hf)]. By a limiting argument, we obtain (4.30) on D(p2) ∩ D(Hf). □ Acknowledgment F. H. thanks the Graduiertenkolleg “Mathematik in ihrer Wech-selb eziehung zur Physik” of the LMU Munich and Grant-in-Aid 13740106 for Encouragement of Young Scientists from the Ministry of Education, Science, Sports and Culture for financial support.",
year = "2001",
doi = "10.1007/s00023-001-8606-1",
language = "English",
volume = "2",
pages = "1159--1187",
journal = "Annales Henri Poincare",
issn = "1424-0637",
publisher = "Birkhauser Verlag Basel",
number = "6",
}