Triangleland: II. Quantum mechanics of pure shape
نویسندگان
چکیده
منابع مشابه
Triangleland. Ii. Quantum Mechanics of Pure Shape
Relational particle models are of value in the absolute versus relative motion debate. They are also analogous to the dynamical formulation of general relativity, and as such are useful for investigating conceptual strategies proposed for resolving the problem of time in quantum general relativity. Moreover, to date there are few explicit examples of these at the quantum level. In this paper I ...
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With toy modelling of conceptual aspects of quantum cosmology and the problem of time in quantum gravity in mind, I study the classical and quantum dynamics of the scalefree triangle formed by 3 particles in 2-d. The shape spaces (configuration spaces for scalefree systems) both for this and for 4 particles in 1-d are spheres. Three quantities u whose squares sum to one play the role of Cartesi...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2009
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/26/13/135021