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Author Singh, T. P.
Source CiteSeerX
Content type Text
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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Quantum Mechanic ♦ Noncommutative Geometry ♦ Classical Spacetime ♦ External Classical Time ♦ Classical Matter Field ♦ Classical Spacetime Manifold ♦ New Formulation ♦ Possible Approach ♦ Non-linear Theory ♦ Doebner-goldin Class ♦ Un-derlying Non-linear Quantum Theory ♦ Limiting Case ♦ Noncommutative Differential Geometry ♦ Pac Number ♦ Spacetime Coordinate ♦ Non-linear Schrodinger Equation ♦ Classical Time ♦ With-out Reference
Abstract Abstract. Quantum mechanics in its presently known formulation requires an external classical time for its description. A classical spacetime manifold and a classical spacetime metric are produced by classical matter fields. In the absence of such classical matter fields, quantum mechanics should be formulated with-out reference to a classical time. If such a new formulation exists, it follows as a consequence that standard linear quantum mechanics is a limiting case of an un-derlying non-linear quantum theory. A possible approach to the new formulation is through the use of noncommuting spacetime coordinates in noncommutative differential geometry. Here, the non-linear theory is described by a non-linear Schrodinger equation which belongs to the Doebner-Goldin class of equations, discovered some years ago. PACS number: 03.65.Ta 1 Why Quantum Mechanics without Classical Spacetime? Quantum mechanics in its presently known formulation requires an external classical time for its description. A classical spacetime manifold and a clas-
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2006-01-01