[{"accept":"1","status":"public","publication_status":"published","volume":"13","page":"233-255","article_type":"original","date_updated":"2018-07-24T12:57:52Z","publisher":"SPRINGER-VERLAG","issue":"3","language":[{"iso":"eng"}],"department":[{"_id":"17982"}],"abstract":[{"text":"We have analyzed and reduced a general (quantum-mechanical) atom-ion diatomic exchange energy formulation into fundamental mathematical forms, namely a particular class of single and. double definite integrals. These are of importance in the charge exchange of molecular processes in atmospheric physics and eventually of interest to matters related to climate. These integrals have been evaluated in terms of asymptotic expansions, with precise schemes for their numerical evaluation. Dividends, for algebraic aspects concerning identities of hypergeometric functions as well as summation techniques for divergent series are also discussed in this context.","lang":"eng"}],"external_id":{"isi":["000178252400003"]},"_id":"1613621","year":"2002","date_submitted":"2010-12-07T16:48:27Z","isi":"1","id":"1613621","date_created":"2010-04-28T13:00:44Z","author":[{"autoren_ansetzung":["Scott, TC","Scott","TC Scott","Scott, T","Scott, T.","T Scott","T. Scott"],"last_name":"Scott","first_name":"TC","full_name":"Scott, TC"},{"autoren_ansetzung":["Aubert-Frecon, M","Aubert-Frecon","M Aubert-Frecon","Aubert-Frecon, M","Aubert-Frecon, M.","M Aubert-Frecon","M. Aubert-Frecon"],"last_name":"Aubert-Frecon","first_name":"M","full_name":"Aubert-Frecon, M"},{"autoren_ansetzung":["Andrae, Dirk","Andrae","Dirk Andrae","Andrae, D","Andrae, D.","D Andrae","D. Andrae"],"last_name":"Andrae","first_name":"Dirk","full_name":"Andrae, Dirk","id":"20327"}],"first_author":"Scott, TC","keyword":["numerical integration","molecular physics","asymptotic series","symbolic integration","functions and sums","special"],"type":"journal_article","publication_identifier":{"eissn":["1432-0622"],"issn":["0938-1279"]},"publication":"APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING","title":"Asymptotics of quantum mechanical atom-ion systems","intvolume":" 13","quality_controlled":"1","citation":{"angewandte-chemie":"T. C. Scott, M. Aubert-Frecon, and D. Andrae, “Asymptotics of quantum mechanical atom-ion systems”, *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING*, **2002**, *13*, 233-255.","frontiers":"Scott, T. C., Aubert-Frecon, M., and Andrae, D. (2002). Asymptotics of quantum mechanical atom-ion systems. *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING* 13, 233-255.","mla":"Scott, TC, Aubert-Frecon, M, and Andrae, Dirk. “Asymptotics of quantum mechanical atom-ion systems”. *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING* 13.3 (2002): 233-255.","ieee":" T.C. Scott, M. Aubert-Frecon, and D. Andrae, “Asymptotics of quantum mechanical atom-ion systems”, *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING*, vol. 13, 2002, pp. 233-255.","harvard1":"Scott, T.C., Aubert-Frecon, M., & Andrae, D., 2002. Asymptotics of quantum mechanical atom-ion systems. *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING*, 13(3), p 233-255.","ama":"Scott TC, Aubert-Frecon M, Andrae D. Asymptotics of quantum mechanical atom-ion systems. *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING*. 2002;13(3):233-255.","aps":" T. C. Scott, M. Aubert-Frecon, and D. Andrae, Asymptotics of quantum mechanical atom-ion systems, APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING **13**, 233 (2002).","dgps":"Scott, T.C., Aubert-Frecon, M. & Andrae, D. (2002). Asymptotics of quantum mechanical atom-ion systems. *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING*, *13*(3), 233-255. SPRINGER-VERLAG. doi:10.1007/s002000200100.

","apa_indent":"Scott, T. C., Aubert-Frecon, M., & Andrae, D. (2002). Asymptotics of quantum mechanical atom-ion systems. *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING*, *13*(3), 233-255. doi:10.1007/s002000200100

","apa":"Scott, T. C., Aubert-Frecon, M., & Andrae, D. (2002). Asymptotics of quantum mechanical atom-ion systems. *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING*, *13*(3), 233-255. doi:10.1007/s002000200100","chicago":"Scott, TC, Aubert-Frecon, M, and Andrae, Dirk. 2002. “Asymptotics of quantum mechanical atom-ion systems”. *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING* 13 (3): 233-255.

","lncs":" Scott, T.C., Aubert-Frecon, M., Andrae, D.: Asymptotics of quantum mechanical atom-ion systems. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. 13, 233-255 (2002).","default":"Scott TC, Aubert-Frecon M, Andrae D (2002)

*APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING* 13(3): 233-255.","bio1":"Scott TC, Aubert-Frecon M, Andrae D (2002)

Asymptotics of quantum mechanical atom-ion systems.

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 13(3): 233-255.","wels":"Scott, T. C.; Aubert-Frecon, M.; Andrae, D. (2002): Asymptotics of quantum mechanical atom-ion systems *APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING*,13:(3): 233-255."},"doi":"10.1007/s002000200100"}]