[{"date_updated":"2023-06-26T08:04:47Z","intvolume":"       388","status":"public","year":"2012","title":"Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds","author":[{"full_name":"Grummt, Robert","last_name":"Grummt","first_name":"Robert"},{"full_name":"Kolb, Martin","last_name":"Kolb","first_name":"Martin","id":"48880"}],"doi":"10.1016/j.jmaa.2011.09.060","user_id":"14931","volume":388,"page":"480-489","_id":"45765","language":[{"iso":"eng"}],"publication":" Journal of Mathematical Analysis and Applications","citation":{"short":"R. Grummt, M. Kolb,  Journal of Mathematical Analysis and Applications 388 (2012) 480–489.","chicago":"Grummt, Robert, and Martin Kolb. “Essential Selfadjointness of Singular Magnetic Schrödinger Operators on Riemannian Manifolds.” <i> Journal of Mathematical Analysis and Applications</i> 388 (2012): 480–89. <a href=\"https://doi.org/10.1016/j.jmaa.2011.09.060\">https://doi.org/10.1016/j.jmaa.2011.09.060</a>.","apa":"Grummt, R., &#38; Kolb, M. (2012). Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds. <i> Journal of Mathematical Analysis and Applications</i>, <i>388</i>, 480–489. <a href=\"https://doi.org/10.1016/j.jmaa.2011.09.060\">https://doi.org/10.1016/j.jmaa.2011.09.060</a>","ieee":"R. Grummt and M. Kolb, “Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds,” <i> Journal of Mathematical Analysis and Applications</i>, vol. 388, pp. 480–489, 2012, doi: <a href=\"https://doi.org/10.1016/j.jmaa.2011.09.060\">10.1016/j.jmaa.2011.09.060</a>.","ama":"Grummt R, Kolb M. Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds. <i> Journal of Mathematical Analysis and Applications</i>. 2012;388:480-489. doi:<a href=\"https://doi.org/10.1016/j.jmaa.2011.09.060\">10.1016/j.jmaa.2011.09.060</a>","bibtex":"@article{Grummt_Kolb_2012, title={Essential selfadjointness of singular magnetic Schrödinger operators on Riemannian manifolds}, volume={388}, DOI={<a href=\"https://doi.org/10.1016/j.jmaa.2011.09.060\">10.1016/j.jmaa.2011.09.060</a>}, journal={ Journal of Mathematical Analysis and Applications}, author={Grummt, Robert and Kolb, Martin}, year={2012}, pages={480–489} }","mla":"Grummt, Robert, and Martin Kolb. “Essential Selfadjointness of Singular Magnetic Schrödinger Operators on Riemannian Manifolds.” <i> Journal of Mathematical Analysis and Applications</i>, vol. 388, 2012, pp. 480–89, doi:<a href=\"https://doi.org/10.1016/j.jmaa.2011.09.060\">10.1016/j.jmaa.2011.09.060</a>."},"type":"journal_article","department":[{"_id":"96"}],"date_created":"2023-06-26T08:04:27Z"},{"abstract":[{"lang":"eng","text":"We discuss the time evolution of the wave function which is the solution of a stochastic Schrödinger equation describing the dynamics of a free quantum particle subject to spontaneous localizations in space. We prove global existence and uniqueness of solutions. We observe that there exist three time regimes: the collapse regime, the classical regime and the diffusive regime. Concerning the latter, we assert that the general solution converges almost surely to a diffusing Gaussian wave function having a finite spread both in position as well as in momentum. This paper corrects and completes earlier works on this issue."}],"citation":{"chicago":"Bassi, Angelo, Detlef Dürr, and Martin Kolb. “ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS.” <i>Reviews in Mathematical Physics</i> 22, no. 1 (2009): 55–89. <a href=\"https://doi.org/10.1142/S0129055X10003886\">https://doi.org/10.1142/S0129055X10003886</a>.","short":"A. Bassi, D. Dürr, M. Kolb, Reviews in Mathematical Physics 22 (2009) 55–89.","apa":"Bassi, A., Dürr, D., &#38; Kolb, M. (2009). ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS. <i>Reviews in Mathematical Physics</i>, <i>22</i>(1), 55–89. <a href=\"https://doi.org/10.1142/S0129055X10003886\">https://doi.org/10.1142/S0129055X10003886</a>","ieee":"A. Bassi, D. Dürr, and M. Kolb, “ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS,” <i>Reviews in Mathematical Physics</i>, vol. 22, no. 1, pp. 55–89, 2009, doi: <a href=\"https://doi.org/10.1142/S0129055X10003886\">https://doi.org/10.1142/S0129055X10003886</a>.","ama":"Bassi A, Dürr D, Kolb M. ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS. <i>Reviews in Mathematical Physics</i>. 2009;22(1):55-89. doi:<a href=\"https://doi.org/10.1142/S0129055X10003886\">https://doi.org/10.1142/S0129055X10003886</a>","bibtex":"@article{Bassi_Dürr_Kolb_2009, title={ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS}, volume={22}, DOI={<a href=\"https://doi.org/10.1142/S0129055X10003886\">https://doi.org/10.1142/S0129055X10003886</a>}, number={1}, journal={Reviews in Mathematical Physics}, author={Bassi, Angelo and Dürr, Detlef and Kolb, Martin}, year={2009}, pages={55–89} }","mla":"Bassi, Angelo, et al. “ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS.” <i>Reviews in Mathematical Physics</i>, vol. 22, no. 1, 2009, pp. 55–89, doi:<a href=\"https://doi.org/10.1142/S0129055X10003886\">https://doi.org/10.1142/S0129055X10003886</a>."},"publication":"Reviews in Mathematical Physics","issue":"1","department":[{"_id":"96"}],"type":"journal_article","date_created":"2023-01-19T06:49:37Z","intvolume":"        22","publication_status":"published","date_updated":"2023-01-19T06:49:46Z","author":[{"first_name":"Angelo","last_name":"Bassi","full_name":"Bassi, Angelo"},{"first_name":"Detlef","last_name":"Dürr","full_name":"Dürr, Detlef"},{"full_name":"Kolb, Martin","last_name":"Kolb","first_name":"Martin","id":"48880"}],"status":"public","title":"ON THE LONG TIME BEHAVIOR OF FREE STOCHASTIC SCHRÖDINGER EVOLUTIONS","year":"2009","volume":22,"user_id":"85821","doi":"https://doi.org/10.1142/S0129055X10003886","language":[{"iso":"eng"}],"_id":"37500","page":"55-89"}]