A remark on natural quantum Lagrangians and natural generalizedSchroedinger operators in Galilei quantum mechanics

作者: Josef Janyška

DOI:

关键词: Quantum statistical mechanicsQuantum mechanicsQuantum dissipationQuantum operationQuantum processSymmetry in quantum mechanicsCreation and annihilation operatorsMathematicsMathematical physicsQuantum geometryQuantum algorithm

摘要: The natural quantum Lagrangians which appear in Galilei general relativistic mechanics are classified by using methods of operators. It is proved that all quantum Lagrangians linear combinations (with real coefficients) of the canonical Lagrangian and the product of scalar curvature a spacetime vertical connection Hermitian product. classification generalized Schroedinger operators given it all natural generalized Schroedinger can be induced from natural Lagrangians.

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