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, 2021
It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generally represented by wave functions3 in such a way that φ and constant
E. Wigner
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It is perhaps the most fundamental principle of Quantum Mechanics that the system of states forms a linear manifold,1 in which a unitary scalar product is defined.2 The states are generally represented by wave functions3 in such a way that φ and constant
E. Wigner
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Quantum Gravity and the Functional Renormalization Group
, 2019During the past two decades the gravitational asymptotic safety scenario has undergone a major transition from an exotic possibility to a serious contender for a realistic theory of quantum gravity.
M. Reuter, F. Saueressig
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Building Blocks for Quantum Network Based on Group‐IV Split‐Vacancy Centers in Diamond
Advanced Quantum Technologies, 2019One ultimate goal of quantum information processing is to construct a quantum network for direct sharing of quantum information between distant parties based on stationary qubits for information storage and flying qubits for information transmission ...
Disheng Chen, N. Zheludev, Wei‐bo Gao
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2005
Abstract The material in this chapter is standard. It can be found in textbooks on quantum groups, such as Kassel (1995), Etingof and Schiffmann (2002), Jantzen (1996), Lusztig (1993).
Pavel Etingof, Frédéric Latour
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Abstract The material in this chapter is standard. It can be found in textbooks on quantum groups, such as Kassel (1995), Etingof and Schiffmann (2002), Jantzen (1996), Lusztig (1993).
Pavel Etingof, Frédéric Latour
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Quantum group gauge theory on quantum spaces
, 1992We construct quantum group-valued canonical connections on quantum homogeneous spaces, including aq-deformed Dirac monopole on the quantum sphere of Podles with quantum differential structure coming from the 3D calculus of Woronowicz onSUq(2).
T. Brzeziński, S. Majid
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Boletim da Sociedade Brasileira de Matemática, 1989
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Quantum Group of Isometries in Classical and Noncommutative Geometry
, 2007We formulate a quantum generalization of the notion of the group of Riemannian isometries for a compact Riemannian manifold, by introducing a natural notion of smooth and isometric action by a compact quantum group on a classical or noncommutative ...
Debashish Goswami
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2007
Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to ...
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Algebra has moved well beyond the topics discussed in standard undergraduate texts on 'modern algebra'. Those books typically dealt with algebraic structures such as groups, rings and fields: still very important concepts! However Quantum Groups: A Path to Current Algebra is written for the reader at ease with at least one such structure and keen to ...
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From “Quantum Groups” to “Quasi-Quantum Groups”
1991The purpose of this lecture is not to review once more the theory of quantum groups, but to give a brief introduction to the recent work of Drinfeld1, where he presented a new (quantum) object, the quasi-Hopf algebras, which leads to generalizations of quantum groups that, to my knowledge, had not yet been proposed, and, in an even shorter summary, the
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A Third-Party E-Payment Protocol Based on Quantum Group Blind Signature
International Journal of Theoretical Physics, 2017Jian-Zhong Zhang +2 more
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