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The method is based on the study of a corresponding Lie algebra and an analytical continuation in the time parameter of the probabilistic construction given in paper I of this work. Generically, the associated quantum first integrals are time dependent and the probabilistic model provides a natural interpretation of the new symmetries. Various examples illustrate the physical relevance of our results.<\/jats:p>","DOI":"10.1063\/1.2199087","type":"journal-article","created":{"date-parts":[[2006,6,26]],"date-time":"2006-06-26T22:25:05Z","timestamp":1151360705000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":8,"title":["Probability and Quantum Symmetries. II. 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