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Berry-Phase and Symmetry of the Ground State in Dynamical Jahn-Teller Systems
[article]
1997
arXiv
pre-print
Moreover, we introduce a new class of Jahn-Teller systems with no Berry phase, as a generalization of the basic icosahedral H ⊗ h case. ...
We show through selected examples, relevant to the physics of fullerene ions, that the presence of a Berry phase in dynamical Jahn-Teller systems does not guarantee the degeneracy of the ground state, ...
A particularly new and surprising one has been demonstrated recently: the possibility of a change in symmetry of the ground state. ...
arXiv:cond-mat/9709094v1
fatcat:ybmomed7nvg4xhraitxm62fyh4
Joint Optimization of Tree-based Index and Deep Model for Recommender Systems
[article]
2019
arXiv
pre-print
Besides, we come up with a novel hierarchical user preference representation utilizing the tree index hierarchy. ...
Online A/B test results at a display advertising platform also demonstrate the effectiveness of the proposed method in production environments. ...
Thank Huimin Yi, Yang Zheng and Xianteng Wu for implementing the key components of the training and inference platform. ...
arXiv:1902.07565v2
fatcat:ras3hhsvancynkhis4uysyq64i
Learning Tree-based Deep Model for Recommender Systems
2018
Proceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining - KDD '18
Online A/B test results in Taobao display advertising platform also demonstrate the effectiveness of the proposed method in production environments. ...
., interactions through deep neural networks, because of the calculation cost. ...
Thank Huimin Yi, Yang Zheng and Xianteng Wu for implementing the key components of the training and inference platform. ...
doi:10.1145/3219819.3219826
dblp:conf/kdd/ZhuLZLHLG18
fatcat:zp7goqjacrgvbglzq2tv2gmapi
Berry Phase and the Symmetry of the Vibronic Ground State in Dynamical Jahn-Teller Systems
[article]
1999
arXiv
pre-print
However, the H x h icosahedral case, relevant for the physics of fullerene ions, provides a first example of linear coupling leading, at strong coupling, to a change in symmetry of the ground state to ...
Due to the frequent presence of a Berry phase, in most cases of dynamical Jahn-Teller systems the symmetry of the ground state is the same as that of the electronic state. ...
of new systems which call for a revision of a number of commonly accepted beliefs. ...
arXiv:cond-mat/9901097v1
fatcat:7lzv55yghng4pb2nb56adj4jc4
The rôle of the Berry phase in dynamical Jahn-Teller systems
1998
Journal of Physics: Condensed Matter
The presence/absence of a Berry phase depends on the topology of the manifold of dynamical Jahn-Teller potential minima. ...
Its absence can, but does not necessarily, lead to a nondegenerate ground state. ...
by the realization of new systems which call for a revision of a number of commonly accepted beliefs. ...
doi:10.1088/0953-8984/10/38/009
fatcat:beel42vixrcktmipomyxbyx5sy
Identifying Rare and Subtle Behaviors: A Weakly Supervised Joint Topic Model
2011
IEEE Transactions on Pattern Analysis and Machine Intelligence
We extensively validate our approach on two standard public-space datasets where it clearly outperforms a batch of contemporary alternatives. ...
One of the most interesting and desired capabilities for automated video behaviour analysis is the identification of rarely occurring and subtle behaviours. ...
We next show how to learn a WS-JTM model (training) and use the learned model to classify new data (testing). ...
doi:10.1109/tpami.2011.81
pmid:21519099
fatcat:tcnngkr4qra2jpfzjbz6kotmba
Simulation of one-dimensional quantum systems with a global SU(2) symmetry
2010
New Journal of Physics
We propose a refined matrix product state representation for many-body quantum states that are invariant under SU(2) transformations, and indicate how to extend the time-evolving block decimation (TEBD ...
The resulting algorithm is tested in a critical quantum spin chain and shown to be significantly more efficient than the standard TEBD. ...
A total spin basis (TSB) |
[V ] jtm ∈ V satisfies the eigenvalue relations S 2 | [V ] jtm = j(j + 1)| [V ] jtm , S z | [V ] jtm = m| [V ] jtm , (1) and is associated with the direct sum decomposition ...
doi:10.1088/1367-2630/12/3/033029
fatcat:i6odoszsuvdllawzksbigjlzxe
Co-Optimized Analysis and Design of Electric and Natural Gas Infrastructures
2019
Energies
Results show that the model provides an accurate operational representation of the integrated system, and, therefore, enhances the expansion planning process. ...
A 26 node integrated gas-electric system for the Eastern Region of the United States is used to demonstrate the model's capabilities. ...
This design proposes a robust electric transmission grid configured as a ring between MISO and PJM to move the large amounts of electricity produced in the new wind farms. ...
doi:10.3390/en12102012
fatcat:7lfd4x555jbmphajb623udypce
Forest-based Deep Recommender
2022
Proceedings of the 45th International ACM SIGIR Conference on Research and Development in Information Retrieval
When learning node representation of each tree, we have to satisfy the max-heap assumption as much as possible and mimic beam search behavior over the tree in the training stage. ...
The recently proposed tree-based deep recommendation models alleviate the problem by directly learning tree structure and representations under the guidance of recommendation objectives. ...
ACKNOWLEDGMENTS The work was supported by grants from the National Key R&D Program of China under Grant No. 2020AAA0103800, the National Natural Science Foundation of China (No. 61976198 and 62022077). ...
doi:10.1145/3477495.3531980
fatcat:2zgex3lmqrczpissfnf24lsqdq
Dynamical Jahn-Teller effect and Berry phase in positively charged fullerenes: Basic considerations
1996
Physical Review B (Condensed Matter)
We study in particular the special equal-coupling case (g_2=g_4), which is reduced to the motion of a particle on a 5-dimensional sphere. ...
In the icosahedral molecule, the final outcome assesses the presence/absence of a Berry phase of π for the h_u hole coupled to G_g/H_h vibrations. ...
Therefore, a general representation of O(3) decomposes into a finite number of representations of I h [21] . ...
doi:10.1103/physrevb.54.7157
pmid:9984337
fatcat:h5ykaqfi5ncvrgbn36ddaytdlm
Multi-Dimensional Separation of Concerns and the Hyperspace Approach
[chapter]
2002
Software Architectures and Component Technology
This paper discusses multi-dimensional separation of concerns in general, our particular approach to providing it, called hyperspaces, and our support for hyperspaces in Java™, called Hyper/J™. ...
A key reason is that one needs different decompositions according to different concerns at different times, but most languages and modularization approaches support only one "dominant" kind of modularization ...
It contains a set of tools that share a common representation of expressions. ...
doi:10.1007/978-1-4615-0883-0_10
fatcat:s5sesx7gdvednp6lv67nblmahy
Workflow automation based on OSI job transfer and manipulation
1999
Computer Standards & Interfaces
This paper shows that Workflow Management Systems (WFMS) and a data communication standard called Job Transfer and Manipulation (JTM) are built on the same concepts, even though different words are used ...
The paper analyses the correspondence of workflow concepts and JTM concepts. Besides, the correspondence of relationships between those concepts is analysed as well. ...
Acknowledgements We wish to thank Mark de Weger and Duane Truex for their useful comments on earlier versions of this paper. Cléver Ricardo Guareis de Farias is supported by CNPq -Brazil. ...
doi:10.1016/s0920-5489(99)00019-7
fatcat:3wez3skxbbd7hm3szqf2zrcppa
The Truth, the Whole Truth, and Nothing But the Truth
1991
The AI Magazine
the Queen said in a pitying tone. 'Try again: draw a long breadth, and shut your eyes.' Alice laughed. 'There's no use trying,' she said: 'one can't believe i m p o s s i b l e things.' ...
'When I was your age, I always did it for half-an-hour a day. Why, sometimes I've believed as many as six impossible things before breakfast.' Lewis Carroll, Through the Looking Glass ...
Cravo for her help and fruitful discussions during compilation of this bibliography. ...
doi:10.1609/aimag.v11i4.866
dblp:journals/aim/Martins91
fatcat:23c7bhdz3jhdxhfnkjwugn6qme
Page 1579 of Mathematical Reviews Vol. 45, Issue 6
[page]
1973
Mathematical Reviews
In a sense, this generalization improves the
linear version as it presents UQE(J™) by a finite number
of generators and relations. ...
compound linear envelope UCE(J™). ...
Page 997 of None Vol. 105, Issue 3
[page]
1957
None
If the calculation is first done in the cases of a single 7’ neutron, the transformation is simpler, the 9—J symbol being replaced by a Racah
coefficient® 4
(j™aJ)7'J ge m+) j™(ay’J1')7'J)
ey GBI) ji hima ...
New York, to be published).
997
When we perform this transformation together with a similar transformation on the wave function to the right of Vin, min in (5), we obtain expression (5) in the form
mn ...
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