Construction of position and momentum operators and Hamiltonians by embedding and submersion

DOI10.1007/BF00403270zbMath0513.53014MaRDI QIDQ1050634

Heinz Peter Berg

Publication date: 1982

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Hamiltonianposition operatormomentum operatorsRiemannian geodesic submersion

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Local Riemannian geometry (53B20) Methods of local Riemannian geometry (53B21)

Related Items (1)

Geometrically Induced Gauge Structure on Manifolds Embedded in a Higher-Dimensional Space

Cites Work

• Quelques propriétés globales des variétés différentiables
• The self-intersections of a smooth \(n\)-manifold in \(2n\)-space
• Quantum mechanics on homogeneous spaces
• Ricci-Calculus
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