{'fraction_non_alphanumeric': 0.017123287671232876, 'fraction_numerical': 0.0, 'mean_word_length': 5.496296296296296, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
Nonlinear Schrödinger-Liouville Equation with Antihermitian Terms

We extend a nonlinear dynamical equation, proposed a few years ago by S. Weinberg to test a possible breakdown in the linearity of Quantum Mechanics, by introducing antihermitian terms (linear and nonlinear) allowing irreversible evolution. Applying the new equation to a two-level atom, we verify that for a particular situation the antihermitian terms lead exactly to the nonlinear Bloch equations obtained in the neoclassical theory of spontaneous emission proposed by Stroud and Jaynes, which do not exhibit pure spontaneous emission. Lifting that particularization we gain additional antihermitian terms in the nonlinear Bloch equation that take care of the pure spontaneous emission problem. In view of this new terms we discuss whether they are meaningful as a “correction” to linear Quantum Mechanics.