Rovibrational transitions in H₂⁺ offer O(m_p/m_e) enhanced sensitivity to spin-independent Lorentz/CPT violation in the proton sector relative to atomic 1S-2S transitions.
Nonrelativistic quantum Hamiltonian for Lorentz violation
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
A method is presented for deriving the nonrelativistic quantum hamiltonian of a free massive fermion from the relativistic lagrangian of the Lorentz-violating standard-model extension. It permits the extraction of terms at arbitrary order in a Foldy-Wouthuysen expansion in inverse powers of the mass. The quantum particle hamiltonian is obtained and its nonrelativistic limit is given explicitly to third order.
verdicts
UNVERDICTED 3representative citing papers
Derivation of rovibrational energy levels for H2+ and anti-H2- in the non-minimal SME, including quantum number dependence and sidereal/annual variations for Lorentz/CPT tests.
Extends effective QFT treatment of Lorentz and CPT violation to the hyperfine-Zeeman spectrum of H2+ and anti-H2- ions, demonstrating extraction of constraints on spin-dependent couplings from rovibrational transitions under magnetic field.
citing papers explorer
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions I -- rovibrational states
Rovibrational transitions in H₂⁺ offer O(m_p/m_e) enhanced sensitivity to spin-independent Lorentz/CPT violation in the proton sector relative to atomic 1S-2S transitions.
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions III -- rovibrational spectrum and the non-minimal SME
Derivation of rovibrational energy levels for H2+ and anti-H2- in the non-minimal SME, including quantum number dependence and sidereal/annual variations for Lorentz/CPT tests.
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Lorentz and CPT violation and the hydrogen and antihydrogen molecular ions II -- hyperfine-Zeeman spectrum
Extends effective QFT treatment of Lorentz and CPT violation to the hyperfine-Zeeman spectrum of H2+ and anti-H2- ions, demonstrating extraction of constraints on spin-dependent couplings from rovibrational transitions under magnetic field.