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: Rayleigh–Schrödinger perturbation theory | Statement: [Brillouin–Wigner perturbation theory, comparedTo, Rayleigh–Schrödinger perturbation theory]

Target entity: Rayleigh–Schrödinger perturbation theory
Context triple: [Brillouin–Wigner perturbation theory, comparedTo, Rayleigh–Schrödinger perturbation theory]

• A. Rayleigh–Schrödinger perturbation theory chosen
  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.
• B. Brillouin–Wigner perturbation theory
  Brillouin–Wigner perturbation theory is a formulation of quantum mechanical perturbation theory that uses an energy-dependent effective Hamiltonian to obtain improved approximations to eigenvalues and eigenstates.
• C. 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.
• D. Born–Oppenheimer approximation
  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.
• 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.