Results 271 to 280 of about 96,976 (305)
Quantum Riemannian geometry of quantum projective spaces
Journal of Geometry and Physics, 2022 We study the quantum Riemannian geometry of quantum projective spaces of any dimension. In particular we compute the Riemann and Ricci tensors, using previously introduced quantum metrics and quantum Levi-Civita connections.
Marco Matassa
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Essay: Where Can Quantum Geometry Lead Us?
Physical Review Letters, 2023 Funding Information: P. T. would like to acknowledge discussions with Milan Allan, Andrei Bernevig, Dmitri Efetov, Ion Errea, Pertti Hakonen, Kristjan Haule, Tero Heikkilä, Kukka-Emilia Huhtinen, Miguel Marques, Andrew Millis, and Sebastiano Peotta, and ...
Päivi Torma
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Annals of the New York Academy of Sciences, 1995
In general relativity the dynamics of a system is related to the geometry of space-time in an intuitively beautiful form: space-time tells matter how to move, and matter tells space-time how to curve. In this paper we consider a natural geometry on the space of quantum states (density operators), with very different consequences.
Samuel L. Braunstein, Carlton M. Caves
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In general relativity the dynamics of a system is related to the geometry of space-time in an intuitively beautiful form: space-time tells matter how to move, and matter tells space-time how to curve. In this paper we consider a natural geometry on the space of quantum states (density operators), with very different consequences.
Samuel L. Braunstein, Carlton M. Caves
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Physical Review Letters, 1990
Summary: For an arbitrary quantum evolution, it is shown that the integral of the uncertainty of energy with respect to time is independent of the particular Hamiltonian used to transport the quantum system along a given curve in the projective Hilbert space. It is the distance along this curve measured by the Fubini-Study metric. This gives a new time-
Anandan, J., Aharonov, Y.
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Summary: For an arbitrary quantum evolution, it is shown that the integral of the uncertainty of energy with respect to time is independent of the particular Hamiltonian used to transport the quantum system along a given curve in the projective Hilbert space. It is the distance along this curve measured by the Fubini-Study metric. This gives a new time-
Anandan, J., Aharonov, Y.
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ON THE GEOMETRY OF QUANTUM MECHANICS
International Journal of Geometric Methods in Modern Physics, 2012We will present a short review of some work we have done in the last ten years with Giuseppe Marmo, on the attempt to formulate some interesting physical problems — such as the Quantum Inverse Problem, Alternative Structures and Berry Phase — in a geometrical setting.
ERCOLESSI, ELISA, Morandi G.
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Reports on Mathematical Physics, 1991
This is an extensive review of some recent developments in the applications of a variety of techniques from algebraic topology to quantum field theory. The main aim is to show how category theory, theory of fibre bundles, cobordism and spectral sequences can be exploited for a study of the geometry of partial differential equations and hence that of ...
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This is an extensive review of some recent developments in the applications of a variety of techniques from algebraic topology to quantum field theory. The main aim is to show how category theory, theory of fibre bundles, cobordism and spectral sequences can be exploited for a study of the geometry of partial differential equations and hence that of ...
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