{"@context":"http://iiif.io/api/presentation/2/context.json","@type":"sc:Manifest","@id":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/manifest","label":"Chaotic dynamics in billiards using Bohm-s quantum mechanics","metadata":[{"label":"Title","value":"Chaotic dynamics in billiards using Bohm’s quantum mechanics"},{"label":"Collection","value":["Physics Faculty Publications"]},{"label":"Relation","value":"phy"},{"label":"Author","value":"O. F. de Alcantara Bonfim, J. Florencio, F. C. Sá Barreto"},{"label":"Journal Title","value":"Physical Review E"},{"label":"Abstract","value":"The dynamics of a particle in square and circular billiards is studied within the framework of Bohm’s quantum mechanics. While conventional quantum mechanics predicts that the system shows no indication of chaotic behavior for these geometries from either the eigenvalue spectra distribution or the structure of the eigenfunctions, we find that in Bohm’s quantum mechanics these systems exhibit both regular and chaotic behavior, depending on the form of the initial wave packet and on the particle’s initial position."},{"label":"DOI","value":"10.1103/PhysRevE.58.R2693"},{"label":"Volume","value":"58"},{"label":"Issue","value":"3"},{"label":"Publication Date","value":"D:00 M:09 Y:1998"},{"label":"Publication Information","value":"Copyright 1998 American Physical Society. The original published version of this article may be found at http://dx.doi.org/10.1103/PhysRevE.58.R2693."}],"description":"Chaotic dynamics in billiards using Bohm’s quantum mechanics","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/canvas/_1","@type":"sc:Canvas","label":"Chaotic dynamics in billiards using Bohm-s quantum mechanics-2","height":1651,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/45756361-35c9-42be-8008-ffbfcedcd17b/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/45756361-35c9-42be-8008-ffbfcedcd17b","profile":"http://iiif.io/api/image/2/level2.json","tiles":[{"width":512,"scaleFactors":[1,2,4]}]},"height":1651,"width":1275},"on":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/canvas/_1","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/45756361-35c9-42be-8008-ffbfcedcd17b/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}},{"@id":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/canvas/_2","@type":"sc:Canvas","label":"Chaotic dynamics in billiards using Bohm-s quantum mechanics-3","height":1651,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/d98dc0fb-011e-4502-8ce9-9456fa99b4b6/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/d98dc0fb-011e-4502-8ce9-9456fa99b4b6","profile":"http://iiif.io/api/image/2/level2.json"},"height":1651,"width":1275},"on":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/canvas/_2","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/d98dc0fb-011e-4502-8ce9-9456fa99b4b6/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}},{"@id":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/canvas/_3","@type":"sc:Canvas","label":"Chaotic dynamics in billiards using Bohm-s quantum mechanics-4","height":1651,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/cd05d8a3-753e-4e40-a4dc-a0455ee674ad/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/cd05d8a3-753e-4e40-a4dc-a0455ee674ad","profile":"http://iiif.io/api/image/2/level2.json"},"height":1651,"width":1275},"on":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/canvas/_3","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/cd05d8a3-753e-4e40-a4dc-a0455ee674ad/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}},{"@id":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/canvas/_4","@type":"sc:Canvas","label":"Chaotic dynamics in billiards using Bohm-s quantum mechanics-5","height":1651,"width":1275,"images":[{"@type":"oa:Annotation","motivation":"sc:painting","resource":{"@id":"https://iiif.quartexcollections.com/portland/iiif/6effc825-0779-40c9-9e83-689805dd0583/full/full/0/default.jpg","@type":"dctypes:Image","format":"image/jpeg","service":{"@context":"http://iiif.io/api/image/2/context.json","@id":"https://iiif.quartexcollections.com/portland/iiif/6effc825-0779-40c9-9e83-689805dd0583","profile":"http://iiif.io/api/image/2/level2.json"},"height":1651,"width":1275},"on":"https://iiif.quartexcollections.com/portland/iiif/9219224e-ad72-4d5f-9890-b70d19a9e4d0/canvas/_4","metadata":[]}],"thumbnail":{"@id":"https://iiif.quartexcollections.com/portland/iiif/6effc825-0779-40c9-9e83-689805dd0583/full/500,500/0/default.jpg","@type":"dctypes:Image","height":500,"width":500}}]}],"thumbnail":"https://iiif.quartexcollections.com/portland/iiif/45756361-35c9-42be-8008-ffbfcedcd17b/full/300,300/0/default.jpg","logo":"https://iiif.quartexcollections.com/portland/iiif/logo"}