The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Quantum-Mechanical Position Operator in Extended Systems
Open accessAbstract
The position operator (defined within the Schr\"odinger representation in the standard way) becomes meaningless when periodic boundary conditions are adopted for the wave function, as usual in condensed matter physics. I show how to define the position expectation value by means of a simple many-body operator acting on the wave function of the extended system. The relationships of the present findings to the Berry-phase theory of polarization are discussed.
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Citations
Cites
Theory of polarization of crystalline solids
King-Smith, R. D., & Vanderbilt, D. (1993) · Physical Review B · doi:10.1103/physrevb.47.1651 · Cited by 4,472
Macroscopic polarization in crystalline dielectrics: the geometric phase approach
Resta, R. (1994) · Reviews of Modern Physics · doi:10.1103/revmodphys.66.899 · Cited by 2,545
Self-citationQuantization of particle transport
Thouless, D. J. (1983) · Physical Review B · doi:10.1103/physrevb.27.6083 · Cited by 1,767
Theory of the Insulating State
Kohn, W. (1964) · Physical Review · doi:10.1103/physrev.133.a171 · Cited by 1,000
Theory of the electric polarization in crystals
Resta, R. (1992) · Ferroelectrics · doi:10.1080/00150199208016065 · Cited by 553
Self-citationQuantised adiabatic charge transport in the presence of substrate disorder and many-body interaction
Niu, Q., & Thouless, D. J. (1984) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/17/12/016 · Cited by 361
Gonze, X., Ghosez, P., & Godby, R. W. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.4035 · Cited by 290
Macroscopic polarization as a geometric quantum phase: Many-body formulation
Ortiz, G., & Martin, R. M. (1994) · Physical Review B · doi:10.1103/physrevb.49.14202 · Cited by 259
Macroscopic Electric Polarization as a Geometric Quantum Phase
Resta, R. (1993) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/22/2/010 · Cited by 228
Self-citationLocalization, hopping, and diffusion of electrons in molten salts
Selloni, A., Carnevali, P., Car, R., & Parrinello, M. (1987) · Physical Review Letters · doi:10.1103/physrevlett.59.823 · Cited by 179
Cited by
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Kühne, T. D., Iannuzzi, M., Del Ben, M., Rybkin, V. V., Seewald, P., Stein, F., Laino, T., Khaliullin, R. Z., Schütt, O., Schiffmann, F., et al. (2020) · The Journal of Chemical Physics · doi:10.1063/5.0007045 · Cited by 4,468
Maximally localized Wannier functions: Theory and applications
Marzari, N., Mostofi, A. A., Yates, J. R., Souza, I., & Vanderbilt, D. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.1419 · Cited by 3,283
Benalcazar, W. A., Bernevig, B. A., & Hughes, T. L. (2017) · Physical Review B · doi:10.1103/physrevb.96.245115 · Cited by 1,389
Dynamical quantum phase transitions: a review
Heyl, M. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aaaf9a · Cited by 678
Metadata
- Authors
- Resta, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1998-03-02
- Volume
- 80
- Issue
- 9
- Pages
- 1800-1803
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2066535961
- Cited by
- 717
- References
- 12
- FWCI
- 8.34
- Type
- journal article
- Language
- en
- Open access
- green
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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