TY - JOUR
T1 - Enhanced binding through coupling to a quantum field
AU - Hiroshima, Fumio
AU - Spohn, Herbert
N1 - 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.
PY - 2001
Y1 - 2001
N2 - 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.
AB - 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.
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U2 - 10.1007/s00023-001-8606-1
DO - 10.1007/s00023-001-8606-1
M3 - Article
AN - SCOPUS:0035543269
SN - 1424-0637
VL - 2
SP - 1159
EP - 1187
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 6
ER -