Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Born–Oppenheimer approximation | Statement: [Born–Huang expansion, improvesUpon, Born–Oppenheimer approximation]

Target entity: Born–Oppenheimer approximation
Context triple: [Born–Huang expansion, improvesUpon, Born–Oppenheimer approximation]

• A. Born–Oppenheimer approximation chosen
  The Born–Oppenheimer approximation is a fundamental method in molecular quantum mechanics that simplifies calculations by treating nuclear motion as much slower than electronic motion, allowing their behaviors to be separated.
• B. Herzberg–Teller approximation
  The Herzberg–Teller approximation is a refinement in molecular spectroscopy that accounts for vibronic coupling by allowing electronic transition dipole moments to depend on nuclear coordinates, explaining intensity in otherwise forbidden transitions.
• C. Franck–Condon principle
  The Franck–Condon principle is a rule in molecular spectroscopy that explains the intensity distribution of vibronic transitions by assuming electronic transitions occur much faster than nuclear motion, making vertical transitions between vibrational states most probable.
• D. Rayleigh–Schrödinger perturbation theory
  Rayleigh–Schrödinger perturbation theory is a fundamental method in quantum mechanics for approximating the energies and states of a system by treating interactions as small corrections to an exactly solvable problem.
• E. Feynman–Hellmann theorem
  The Feynman–Hellmann theorem is a result in quantum mechanics that relates the derivative of an energy eigenvalue with respect to a parameter in the Hamiltonian to the expectation value of the corresponding derivative of the Hamiltonian.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: improvesUpon
Context triple: [Born–Huang expansion, improvesUpon, Born–Oppenheimer approximation]

• A. improvesOn chosen
  Indicates that one entity enhances, refines, or performs better than another entity, typically by addressing its limitations or increasing its effectiveness.
• B. increases
  Indicates that one entity causes another entity’s value, level, or intensity to become larger or higher.
• C. strengthens
  Indicates that one entity increases the power, effectiveness, or resilience of another.
• D. updated
  Indicates that an entity has been modified or brought to a more recent state compared to its previous version or status.
• E. promotes
  Indicates that one entity actively supports, advances, or encourages the growth, adoption, or success of another entity or outcome.
• F. None of above.