The DOI matches its Crossref record.
Quantum Theory of Tunneling
Abstract
A Brief History of Quantum Tunneling Some Basic Questions Concerning Quantum Tunneling Simple Solvable Problems Time-Dependence of the Wave Function in One-Dimensional Tunneling Semiclassical Approximations Generalization of the Bohr - Sommerfeld Quantization Rule and its Application to Quantum Tunneling Gamow's Theory, Complex Eigenvalues, and the Wave Function of a Decaying State Tunneling in Symmetric and Asymmetric Local Potentials and Tunneling in Nonlocal and Quasi-Solvable Barriers Classical Descriptions of Tunneling Tunneling in Time-Dependent Barriers Decay Width and Scattering Theory The Method of Variable Reflection Amplitude Applied to Solve Multichannel Tunneling Problems Path Integral and Its Semi-Classical Approximation in Quantum Tunneling Heisenberg's Equations of Motion for Tunneling Wigner Distribution Function in Quantum Tunneling Decay Widths of Siegert States, Complex Scaling and Dilatation Transformation Multidimensional Quantum Tunneling Group and Signal Velocities Time-Delay, Reflection Time Operator and Minimum Tunneling Time More about Tunneling Time Tunneling of a System with Internal Degrees of Freedom Motion of a Particle in a Waveguide with Variable Cross Section and in a Space Bounded by a Dumbbell-Shaped Object Relativistic Formulation of Quantum Tunneling Inverse Problems of Quantum Tunneling Some Examples of Quantum Tunneling in Atomic and Molecular Physics Some Examples from Condensed Matter Physics Alpha Decay.
Overview
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“They proposed the behaviour to show evidence of quantum mechanical tunnelling [54], and laid the foundation for the concept of electron and nuclear tunnelling in biology [42].”
From The future of quantum biology (2018) · cites this paper as [54]
Citations
Cited by
Sorted by citations
Floquet Spectrum and Transport through an Irradiated Graphene Ribbon
Gu, Z., Fertig, H. A., Arovas, D. P., & Auerbach, A. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.216601 · Cited by 367
Tunneling time, the Hartman effect, and superluminality: A proposed resolution of an old paradox
Winful, H. G. (2006) · Physics Reports · doi:10.1016/j.physrep.2006.09.002 · Cited by 379
Methylhydroxycarbene: Tunneling Control of a Chemical Reaction
Schreiner, P. R., Reisenauer, H. P., Ley, D., et al. (2011) · Science · doi:10.1126/science.1203761 · Cited by 369
Capture of hydroxymethylene and its fast disappearance through tunnelling
Schreiner, P. R., Reisenauer, H. P., Pickard, F. C., et al. (2008) · Nature · doi:10.1038/nature07010 · Cited by 294
Marais, A., Adams, B., Ringsmuth, A. K., Ferretti, M., Gruber, J. M., Hendrikx, R., Schuld, M., Smith, S. L., Sinayskiy, I., Krüger, T. P. J., et al. (2018) · Journal of The Royal Society Interface · doi:10.1098/rsif.2018.0640 · Cited by 274
Effective Theory of Floquet Topological Transitions
Kundu, A., Fertig, H. A., & Seradjeh, B. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.236803 · Cited by 219
Single molecule detection with graphene and other two-dimensional materials: nanopores and beyond
Arjmandi‐Tash, H., Belyaeva, L. A., & Schneider, G. F. (2015) · Chemical Society Reviews · doi:10.1039/c5cs00512d · Cited by 178
Fill‐and‐Spill: A Process Description of Runoff Generation at the Scale of the Beholder
McDonnell, J. J., Spence, C., Karran, D. J., et al. (2021) · Water Resources Research · doi:10.1029/2020wr027514 · Cited by 170
Nonexponential Decay Via Tunneling in Tight-Binding Lattices and the Optical Zeno Effect
Longhi, S. (2006) · Physical Review Letters · doi:10.1103/physrevlett.97.110402 · Cited by 130
Mostafazadeh, A., & Mehri‐Dehnavi, H. (2009) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/42/12/125303 · Cited by 100
Floquet-Engineered Valleytronics in Dirac Systems
Kundu, A., Fertig, H. A., & Seradjeh, B. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.016802 · Cited by 94
Spatial adiabatic passage: a review of recent progress
Menchon-Enrich, R., Benseny, A., Ahufinger, V., Greentree, A. D., Busch, T., & Mompart, J. (2016) · Reports on Progress in Physics · doi:10.1088/0034-4885/79/7/074401 · Cited by 89
Radiation Effects in Materials
Monteiro, W. A. (2016) · InTech eBooks · doi:10.5772/61498 · Cited by 79
Coulomb Bound States of Strongly Interacting Photons
Maghrebi, M. F., Gullans, M. J., Bienias, P., Choi, S., Martin, I., Firstenberg, O., Lukin, M. D., Büchler, H. P., & Gorshkov, A. V. (2015) · Physical Review Letters · doi:10.1103/physrevlett.115.123601 · Cited by 69
Terlinden, N. M., Dingemans, G., Vandalon, V., et al. (2014) · Journal of Applied Physics · doi:10.1063/1.4857075 · Cited by 70
Thermodynamics and Kinetics of Nanoclusters Controlling Gas-to-Particle Nucleation
Kathmann, S. M., Schenter, G. K., Garrett, B. C., Chen, B., & Siepmann, J. I. (2009) · The Journal of Physical Chemistry C · doi:10.1021/jp8092226 · Cited by 72
Supercrystals of CdSe Quantum Dots with High Charge Mobility and Efficient Electron Transfer to TiO2
Talgorn, E., Abellón, R. D., Kooyman, P. J., et al. (2010) · ACS Nano · doi:10.1021/nn901709a · Cited by 67
Aharonov–Bohm effect in the tunnelling of a quantum rotor in a linear Paul trap
Noguchi, A., Shikano, Y., Toyoda, K., & Urabe, S. (2014) · Nature Communications · doi:10.1038/ncomms4868 · Cited by 68
Ley, D., Gerbig, D., Wagner, J. P., et al. (2011) · Journal of the American Chemical Society · doi:10.1021/ja204507j · Cited by 60
How an interacting many-body system tunnels through a potential barrier to open space
Lode, A. U. J., Streltsov, A. I., Sakmann, K., et al. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1201345109 · Cited by 60
Schreiner, P. R., Wagner, J. P., Reisenauer, H. P., et al. (2015) · Journal of the American Chemical Society · doi:10.1021/jacs.5b03322 · Cited by 60
Gerbig, D., Reisenauer, H. P., Wu, C., et al. (2010) · Journal of the American Chemical Society · doi:10.1021/ja9107885 · Cited by 58
Zhang, F., & Dibble, T. S. (2011) · The Journal of Physical Chemistry A · doi:10.1021/jp1111839 · Cited by 55
Conformer-specific hydrogen atom tunnelling in trifluoromethylhydroxycarbene
Mardyukov, A., Quanz, H., & Schreiner, P. R. (2016) · Nature Chemistry · doi:10.1038/nchem.2609 · Cited by 54
Spin transport in magnetic graphene superlattices
Niu, Z. P., Li, F., Wang, B. G., Sheng, L., & Xing, D. Y. (2008) · The European Physical Journal B · doi:10.1140/epjb/e2008-00413-5 · Cited by 52
Analysis of Air Cathode Perfomance for Lithium-Air Batteries
Wang, Y., & Cho, S. C. (2013) · Journal of The Electrochemical Society · doi:10.1149/2.092310jes · Cited by 52
Nonadiabatic tunneling ionization of atoms in elliptically polarized laser fields
Geng, J.-W., Qin, L., Li, M., et al. (2014) · Journal of Physics B Atomic Molecular and Optical Physics · doi:10.1088/0953-4075/47/20/204027 · Cited by 51
Energy–time and frequency–time uncertainty relations: exact inequalities
Dodonov, V. V., & Dodonov, A. V. (2015) · Physica Scripta · doi:10.1088/0031-8949/90/7/074049 · Cited by 53
Heun functions and quasi-exactly solvable double-well potentials
Chen, B.-H., Wu, Y., & Xie, Q. (2012) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/46/3/035301 · Cited by 42
Switch chemistry at cryogenic conditions: quantum tunnelling under electric fields
Kirshenboim, O., Frenklah, A., & Kozuch, S. (2020) · Chemical Science · doi:10.1039/d0sc06295b · Cited by 42
Quantum time scales in alpha tunneling
Kelkar, N. G., Castañeda, H. M., & Nowakowski, M. (2009) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/85/20006 · Cited by 40
OR Forum—Quantum Mechanics and Human Decision Making
Agrawal, P. M., & Sharda, R. (2012) · Operations Research · doi:10.1287/opre.1120.1068 · Cited by 50
Tsuge, M., & Khriachtchev, L. Y. (2014) · The Journal of Physical Chemistry A · doi:10.1021/jp509692b · Cited by 40
Transfer matrix formulation of scattering theory in two and three dimensions
Loran, F., & Mostafazadeh, A. (2016) · Physical Review A · doi:10.1103/physreva.93.042707 · Cited by 39
Exploring quantum materials and applications: a review
Goyal, R. K., Maharaj, S., Kumar, P., & Chandrasekhar, M. (2025) · Journal of Materials Science Materials in Engineering · doi:10.1186/s40712-024-00202-7 · Cited by 56
Wigner time delay for tunneling ionization via the electron propagator
Yakaboylu, E., Klaiber, M., & Hatsagortsyan, K. Z. (2014) · Physical Review A · doi:10.1103/physreva.90.012116 · Cited by 37
Mukherjee, N., & Roy, A. K. (2015) · Annalen der Physik · doi:10.1002/andp.201500301 · Cited by 37
Non-equilibrium dynamics, materials and structures for hot carrier solar cells: a detailed review
König, D., Yao, Y., Veettil, B. P., & Smith, S. C. (2020) · Semiconductor Science and Technology · doi:10.1088/1361-6641/ab8171 · Cited by 37
A review of self-assembled monolayers as potential terahertz frequency tunnel diodes
Celestin, M., Krishnan, S., Bhansali, S., Stefanakos, E. K., & Goswami, D. Y. (2014) · Nano Research · doi:10.1007/s12274-014-0429-8 · Cited by 36
Sasada, K., Hatano, N., & Ordonez, G. E. (2011) · Journal of the Physical Society of Japan · doi:10.1143/jpsj.80.104707 · Cited by 35
Mukherjee, N., Roy, A., & Roy, A. K. (2015) · Annalen der Physik · doi:10.1002/andp.201500196 · Cited by 37
Electrical transport in carbon black-epoxy resin composites at different temperatures
Macutkevic, J., Kuzhir, P., Paddubskaya, A. G., et al. (2013) · Journal of Applied Physics · doi:10.1063/1.4815870 · Cited by 35
Wagner, J. P., Reisenauer, H. P., Hirvonen, V. H. A., Wu, C., Tyberg, J. L., Allen, W. D., & Schreiner, P. R. (2016) · Chemical Communications · doi:10.1039/c6cc01756h · Cited by 34
Valley interference and spin exchange at the atomic scale in silicon
Voisin, B., Bocquel, J., Tankasala, A., Usman, M., Salfi, J., Rahman, R., Simmons, M. Y., Hollenberg, L. C. L., & Rogge, S. M. J. (2020) · Nature Communications · doi:10.1038/s41467-020-19835-1 · Cited by 33
Path Optimization with Application to Tunneling
Einarsdóttir, D. M., Arnaldsson, A., Óskarsson, F., et al. (2012) · Lecture notes in computer science · doi:10.1007/978-3-642-28145-7_5 · Cited by 30
Dynamically assisted tunneling in the impulse regime
Kohlfürst, C., Queißer, F., & Schützhold, R. (2021) · Physical Review Research · doi:10.1103/physrevresearch.3.033153 · Cited by 1
Kozuch, S. (2014) · Organic Letters · doi:10.1021/ol5017977 · Cited by 29
Renewing the Mainstream Theory of Field and Thermal Electron Emission
Forbes, R. G. (2020) · Topics in applied physics · doi:10.1007/978-3-030-47291-7_9 · Cited by 28
Valley interference and spin exchange at the atomic scale in silicon
Voisin, B., Bocquel, J., Tankasala, A., Usman, M., Salfi, J., Rahman, R., Simmons, M. Y., Hollenberg, L. C. L., & Rogge, S. M. J. (2020) · RePEc: Research Papers in Economics · Cited by 27
Gao, F., Chen, Y. J., Xin, G. G., et al. (2017) · Physical Review A · doi:10.1103/physreva.96.063414 · Cited by 26
Quantum Post-Exponential Decay
Martorell, J., Muga, J. G., & Sprung, D. W. L. (2009) · Lecture notes in physics · doi:10.1007/978-3-642-03174-8_9 · Cited by 25
Lode, A. U. J., Klaiman, S., Alon, O. E., et al. (2014) · Physical Review A · doi:10.1103/physreva.89.053620 · Cited by 24
Nuclear quantum dynamics in dense hydrogen
Kang, D., Sun, H., Dai, J., et al. (2014) · Scientific Reports · doi:10.1038/srep05484 · Cited by 24
Zhang, Y., Moore, K. J., McFarland, D. M., et al. (2015) · Journal of Applied Physics · doi:10.1063/1.4937898 · Cited by 24
The impulse response fitting and ship motions
Hatecke, H. (2015) · Ship Technology Research · doi:10.1179/2056711115y.0000000001 · Cited by 24
Quantum tunneling and scattering of a composite object reexamined
Ahsan, N., & Volya, A. (2010) · Physical Review C · doi:10.1103/physrevc.82.064607 · Cited by 23
On the tunneling instability of a hypercoordinated carbocation
Kozuch, S. (2015) · Physical Chemistry Chemical Physics · doi:10.1039/c5cp02080h · Cited by 22
Analytic Route to Tunneling Splittings Using Semiclassical Perturbation Theory
Burd, T. A. H., & Clary, D. C. (2020) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.0c00207 · Cited by 22
Probabilistic interpretation of resonant states
Hatano, N., Kawamoto, T., & Feinberg, J. (2009) · Pramana · doi:10.1007/s12043-009-0107-7 · Cited by 22
Rigorous Bounds on Transmission, Reflection, and Bogoliubov Coefficients
Boonserm, P. (2009) · doi:10.26686/wgtn.16959334.v1 · Cited by 22
Time delays and advances in classical and quantum systems
Kolomeitsev, E. E., & Voskresensky, D. N. (2013) · Journal of Physics G Nuclear and Particle Physics · doi:10.1088/0954-3899/40/11/113101 · Cited by 21
Tsuge, M., Marushkevich, K., Räsänen, M., et al. (2012) · The Journal of Physical Chemistry A · doi:10.1021/jp302911p · Cited by 20
Jaberipur, G., Parhami, B., & Abedi, D. (2018) · IEEE Transactions on Sustainable Computing · doi:10.1109/tsusc.2018.2811181 · Cited by 21
Belchev, B., Neale, S., & Walton, M. A. (2011) · Canadian Journal of Physics · doi:10.1139/p11-107 · Cited by 19
Plasmon beams interaction at interface between metal and dielectric with saturable Kerr nonlinearity
Ignatyeva, D. O., & Sukhorukov, A. P. (2012) · Applied Physics A · doi:10.1007/s00339-012-7349-9 · Cited by 18
Maximum tunneling velocities in symmetric double well potentials
Manz, J., Schild, A., Schmidt, B., et al. (2014) · Chemical Physics · doi:10.1016/j.chemphys.2014.04.004 · Cited by 17
Quantum mechanical tunneling of composite particle systems: Linkage to sub-barrier nuclear reactions
Shotter, A. C., & Shotter, M. (2011) · Physical Review C · doi:10.1103/physrevc.83.054621 · Cited by 17
Kozuch, S. (2015) · Journal of Chemical Theory and Computation · doi:10.1021/acs.jctc.5b00321 · Cited by 17
Influence of Structural Defects and Oxidation onto Hole Conductivity in P3HT
Lücke, A., Schmidt, W. G., Rauls, E., et al. (2015) · The Journal of Physical Chemistry B · doi:10.1021/acs.jpcb.5b03615 · Cited by 16
Continuous Low-Power Ammonia Monitoring Using Long Short-Term Memory Neural Networks
Jia, Z., Lyu, X., Zhang, W., Martin, R. P., Howard, R. E., & Zhang, Y. (2018) · ACM Conference on Embedded Networked Sensor Systems (SenSys) · doi:10.1145/3274783.3274836 · Cited by 16
High mobility conduction in insulating polymers through fast soliton-like charge pulses
Fabiani, D., Montanari, G. C., & Dissado, L. A. (2009) · Journal of Physics Conference Series · doi:10.1088/1742-6596/183/1/012010 · Cited by 16
Quantum Tunneling in the Midrange Vibrational Fundamentals of Tropolone
Redington, R. L., Redington, T. E., & Sams, R. L. (2006) · The Journal of Physical Chemistry A · doi:10.1021/jp062068s · Cited by 16
Resonant states and transmission coefficient oscillations for potential wells and barriers
Maheswari, A. U., Prema, P., & Shastry, C. S. (2010) · American Journal of Physics · doi:10.1119/1.3276053 · Cited by 15
Nonlinear scattering and its transfer matrix formulation in one dimension
Mostafazadeh, A. (2019) · The European Physical Journal Plus · doi:10.1140/epjp/i2019-12456-x · Cited by 15
Quantum tunneling and quantum walks as algorithmic resources to solve hard K-SAT instances
Campos, E., Venegas-Andraca, S. E., & Lanzagorta, M. O. (2021) · Scientific Reports · doi:10.1038/s41598-021-95801-1 · Cited by 18
The quantum mechanics of ion-enhanced field emission and how it influences microscale gas breakdown
Li, Y., & Go, D. B. (2014) · Journal of Applied Physics · doi:10.1063/1.4895634 · Cited by 15
Quantum Mechanics and Human Decision MakingPreprint
Agrawal, P. M., & Sharda, R. (2010) · SSRN Electronic Journal · doi:10.2139/ssrn.1653911 · Cited by 14
Kang, D., Sun, H., Dai, J., et al. (2013) · arXiv (Cornell University) · doi:10.48550/arxiv.1304.0953 · Cited by 15
Kim, H., Kim, S., Yoo, J., et al. (2021) · AIP Advances · doi:10.1063/5.0035379 · Cited by 14
Effects of geometry on quantum fluctuations of phonon-trapping acoustic cavities
Goryachev, M., & Tobar, M. E. (2014) · New Journal of Physics · doi:10.1088/1367-2630/16/8/083007 · Cited by 14
Asymmetric wave functions from tiny perturbations
Dauphinee, T., & Marsiglio, F. (2015) · American Journal of Physics · doi:10.1119/1.4923249 · Cited by 14
The time-dependent Schrödinger equation with piecewise constant potentials
Sheils, N. E., & Deconinck, B. (2018) · European Journal of Applied Mathematics · doi:10.1017/s0956792518000475 · Cited by 14
Dynamics of a few interacting bosons escaping from an open well
Dobrzyniecki, J., & Sowiński, T. (2018) · Physical Review A · doi:10.1103/physreva.98.013634 · Cited by 14
Capturing nonexponential dynamics in the presence of two decay channels
Giacosa, F., Kościk, P., & Sowiński, T. (2020) · Physical Review A · doi:10.1103/physreva.102.022204 · Cited by 14
Rigorous Bounds on Transmission, Reflection, and Bogoliubov Coefficients
Boonserm, P. (2009) · doi:10.26686/wgtn.16959334 · Cited by 14
Modeling electron emission and surface effects from diamond cathodes
Dimitrov, D. A., Smithe, D. N., Cary, J. R., et al. (2015) · Journal of Applied Physics · doi:10.1063/1.4907393 · Cited by 13
Intricate Conformational Tunneling in Carbonic Acid Monomethyl Ester
Linden, M. M., Wagner, J. P., Bernhardt, B., et al. (2018) · The Journal of Physical Chemistry Letters · doi:10.1021/acs.jpclett.8b00295 · Cited by 13
Quasi-bound states, resonance tunnelling, and tunnelling times generated by twin symmetric barriers
Maheswari, A. U., Prema, P., Mahadevan, S., et al. (2009) · Pramana · doi:10.1007/s12043-009-0173-x · Cited by 13
Statistical approach to tunneling time in attosecond experiments
Demir, D., & Güner, T. (2017) · Annals of Physics · doi:10.1016/j.aop.2017.09.009 · Cited by 13
Shen, L.-T., Shi, Z., Yang, Z., Wu, H., Zhong, Z., & Zheng, S. (2020) · EPJ Quantum Technology · doi:10.1140/epjqt/s40507-019-0077-8 · Cited by 13
Heavy atom tunnelling on XeF 6 pseudorotation
Sedgi, I., & Kozuch, S. (2020) · Physical Chemistry Chemical Physics · doi:10.1039/d0cp03205k · Cited by 13
Practical Application of Two-Turning-Point Theory to Mountain-Wave Transmission through a Wind Jet
Broutman, D., Eckermann, S. D., & Rottman, J. W. (2008) · Journal of the Atmospheric Sciences · doi:10.1175/2008jas2786.1 · Cited by 13
Scattering by an oscillating barrier: Quantum, classical, and semiclassical comparison
Byrd, T. A., Ivory, M., Pyle, A. J., et al. (2012) · Physical Review A · doi:10.1103/physreva.86.013622 · Cited by 12
The photochemistry of the self‐healing chromophore Disperse Orange 11
Westfall, N. J., & Dirk, C. W. (2012) · Journal of Physical Organic Chemistry · doi:10.1002/poc.2907 · Cited by 12
Tunneling and reflection of an exciton incident upon a quantum heterostructure barrier
Kavka, J. J., Shegelski, M. R. A., & Hong, W.-P. (2012) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/24/36/365802 · Cited by 12
Loran, F., & Mostafazadeh, A. (2020) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ab7669 · Cited by 12
Electron transfer from a carbon nanotube into vacuum under high electric fields
Filip, L. D., Smith, R., Carey, J. D., et al. (2009) · Journal of Physics Condensed Matter · doi:10.1088/0953-8984/21/19/195302 · Cited by 12
Abdolkader, T. M., Shaker, A., & Alahmadi, A. N. M. (2018) · European Journal of Physics · doi:10.1088/1361-6404/aab5cf · Cited by 12
Becker, S., Mirahmadi, M., Schmidt, B., et al. (2017) · The European Physical Journal D · doi:10.1140/epjd/e2017-80134-6 · Cited by 11
Tunneling in the self-trapped regime of a two-well Bose-Einstein condensate
Pudlik, T., Hennig, H., Witthaut, D., et al. (2014) · Physical Review A · doi:10.1103/physreva.90.053610 · Cited by 11
Metadata
- Authors
- Razavy, M.
- Affiliations
- University of Alberta (CA)
- Corresponding author
- Razavy, Mohsen
- Venue
- WORLD SCIENTIFIC eBooks
- Publisher
- WORLD SCIENTIFIC
- Published
- 2003-01
- DOI
- 10.1142/4984
- OpenAlex
- W3047854480
- Cited by
- 260
- References
- 0
- Citations by year
- 2026: 11 · 2025: 10 · 2024: 5 · 2023: 9 · 2022: 7 · 2021: 10 · 2020: 21 · 2019: 15 · 2018: 17 · 2017: 11 · 2016: 17 · 2015: 13 · 2014: 28 · 2013: 23 · 2012: 18
- FWCI
- 0.56
- Type
- book
- Language
- en
- Open access
- closed
- Locations
- WORLD SCIENTIFIC eBooks (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- quantum tunneling, one-dimensional tunneling, semiclassical approximation, Bohr-Sommerfeld quantization, Gamow states, complex eigenvalues, decaying states, asymmetric potential, path integral, Wigner function, complex scaling method, tunneling time, multidimensional tunneling, group theory, signal velocity, time delay, inverse problems, alpha decay, condensed matter physics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
