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R. Batterman, `Falling Cats, Parallel Parking, and Polarized Light' (2002); PITT-PHIL-SCI00000583.

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Geometric Phase Locked in the Nucleus - Binder (2002)   (Correct)

....and is one of the reasons why phases and gauge theories are not unimportant in quantum mechanics, despite of the central role of amplitude densities. The non adiabatic generalization of [2] defines a geometric phase factor for any cyclic evolution of a quantum system, for an introduction see i.e. [3]. It is likely, that spin orbit coupling in the nuclear and atomic dimensions is a generator for geometric phase shifts since . it involves fast slow vector couplings, on round trips on a curved surface, with exact frequency and phase relationships. If a geometric phase component ....

R. Batterman, `Falling Cats, Parallel Parking, and Polarized Light' (2002); PITT-PHIL-SCI00000583.


Geometric Phase Locked in Fine Structure - Binder (2002)   (Correct)

.... important boundary conditions while reducing the degree of redundancy in variables, including the phase shifts generated by Berry s connection [1] The non adiabatic generalization of [2] defines a geometric phase factor for any cyclic evolution of a quantum system, for an introduction see i.e. [3]. This is one of the reasons why phases and gauge theories are not unimportant in quantum mechanics, despite of the central role of amplitude densities. The fine structure coupling in atomic and molecular dimensions is a candidate for a geometric phase shift: it involves fast slow vector ....

R. Batterman, `Falling Cats, Parallel Parking, and Polarized Light' (2002); PITT-PHIL-SCI00000583.


About Geometric Phases Serving as Memory in Quantum Computing -.. - Binder (2002)   (Correct)

....storage, transfer, and processing. In [2] it has been shown how quantum information can be encoded in an eigenspace of a degenerate Hamiltonian H such, that one can in principle achieve the full quantum computational power by using holonomies only. For an introduction to geometric phases see i.e. [6]. Information storage What characterizes memory A memory has a time scale much longer than the time scale of information processing. This is a basic requirement, since computation is useless if the input is forgotten while waiting for the output. These two timescales are natural requirements of ....

R. Batterman, `Falling Cats, Parallel Parking, and Polarized Light' (2002); PITT-PHIL-SCI00000583.


Berry's Phase and Fine Structure - Bernd Binder Date   (Correct)

....depends only on the geometry of the Hamiltonian s trajectory through parameter space and not on its time evolution. Various manifestations of geometric phases exist and are connected with names like Aharonov, Anandan, Berry, Bohm, Pancharatnam, Simon, Thomas, Wilczek and many others, see e.g. [2]. Although there are no widely recognized practical applications of the nonabelian gauge theory, its experimental observations have been reported in many fields of science. But quantum electrodynamics (QED) was established long before Berry s phase was discovered. The successful concept of QED is ....

R. Batterman, `Falling Cats, Parallel Parking, and Polarized Light' (2002); PITT-PHIL-SCI00000583.


About Geometric Phases Serving as Memory in Quantum Computing.. - Binder (2002)   (Correct)

....storage, transfer, and processing. In [2] it has been shown how quantum information can be encoded in an eigenspace of a degenerate Hamiltonian H such, that one can in principle achieve the full quantum computational power by using holonomies only. For an introduction to geometric phases see i.e. [6]. Information storage What characterizes memory A memory has a time scale much longer than the time scale of information processing. This is a basic requirement, since computation is useless if the input is forgotten while waiting for the output. These two timescales are natural requirements of ....

R. Batterman, `Falling Cats, Parallel Parking, and Polarized Light' (2002); PITT-PHIL-SCI00000583.


Berry's Phase and Fine Structure - Binder (2002)   (Correct)

....depends only on the geometry of the Hamiltonian s trajectory through parameter space and not on its time evolution. Various manifestations of geometric phases exist and are connected with names like Aharonov, Anandan, Berry, Bohm, Pancharatnam, Simon, Thomas, Wilczek and many others, see e.g. [2]. Although there are no widely recognized practical applications of the nonabelian gauge theory, its experimental observations have been reported in many elds of science. But quantum electrodynamics (QED) was established long before Berry s phase was discovered. The successful concept of QED is ....

R. Batterman, `Falling Cats, Parallel Parking, and Polarized Light' (2002); PITT-PHIL-SCI00000583.


Berry's Phase and Fine Structure - Bernd Binder Date   (Correct)

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R. Batterman, `Falling Cats, Parallel Parking, and Polarized Light' (2002); PITT-PHIL-SCI00000583.

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