Classical mechanics with lapse
نویسنده
چکیده
Mechanics is developed over a differentiable manifold as space of possible positions. Time is considered to fill a one–dimensional Riemannian manifold, so having the metric as lapse. Then the system is quantized with covariant instead of partial derivatives in the Schrödinger operator. PACS-numbers: 0320 (Classical mechanics of discrete systems; general mathematical aspects); 0365 (Quantum mechanics); 0240 (Differential geometry); 9880 (Cosmology).
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62 v 1 3 1 O ct 1 99 5 Classical mechanics with lapse
Mechanics is developed over a differentiable manifold as space of possible positions. Time is considered to fill a one–dimensional Riemannian manifold, so having the metric as lapse. Then the system is quantized with covariant instead of partial derivatives in the Schrödinger operator. PACS-numbers: 0320 (Classical mechanics of discrete systems; general mathematical aspects); 0365 (Quantum mech...
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