Equivalence theorems between the solutions of the fourth-order modified contracted Schrödinger equation and those of the Schrödinger equation

D.R. ALCOBA

PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS

American Physical Society

Lugar: New York; Año: 2002 vol. 65 p. 32519 - 32519

1050-2947

Four basic theorems involving the correlation matrices are demonstrated here. One of these theorems establishes, as a necessary and sufficient condition, that the solutions of the fourth-order modified contracted Schrödinger equation correspond uniquely to those of the Schrödinger equation. The complete equivalence between these two equations is demonstrated. Another equation equivalent to the Schrödinger equation but involving only the correlation matrices is also obtained as a consequence of the second theorem.