30 citations · 260 across the 63 of their papers we have counts for
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Normal frames and linear transports along paths in vector bundles
Bozhidar Z. Iliev
The theory of linear transports along paths in vector bundles, generalizing the parallel transports generated by linear connections, is developed. The normal frames for them are de…
Is the principle of equivalence a principle?
Bozhidar Z. Iliev
The work argues the principle of equivalence to be a theorem and not a principle (in a sense of an axiom). It contains a detailed analysis of the concepts of normal and inertial fr…
Fibre bundle formulation of nonrelativistic quantum mechanics. III. Pictures and integrals of motion
Bozhidar Z. Iliev
We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one but it is in harmony with the m…
Normal frames and the validity of the equivalence principle. III. The case along smooth maps with separable points of self-intersection
Bozhidar Z. Iliev
The equivalence principle is treated on a mathematically rigorous base on sufficiently general subsets of a differentiable manifold. This is carried out using the basis of derivati…
Fibre bundle formulation of nonrelativistic quantum mechanics. II. Equations of motion and observables
Bozhidar Z. Iliev
We propose a new systematic fibre bundle formulation of nonrelativistic quantum mechanics. The new form of the theory is equivalent to the usual one but it is in harmony with the m…
Fibre bundle formulation of nonrelativistic quantum mechanics. 0. Preliminary considerations: Quantum mechanics from a geometric-observer's viewpoint
Bozhidar Z. Iliev
We propose a version of the non-relativistic quantum mechanics in which the pure states of a quantum system are described as sections of a Hilbert (generally infinitely-dimensional…