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Mur, V. D., Pozdnyakov, S. G., Popov, V. S., & Popruzhenko, S. V. E. (2002). On the Zel’dovich regularization method in the theory of quasistationary states. Journal of
Experimental and Theoretical Physics Letters, 75,
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Orlov, Y. V., & Irgaziev, B. F. (2008). On the normalization of the Gamov resonant wave function in the configuration space. Bulletin of the
Russian Academy of Sciences: Physics, 72, 1539-1543.
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Mur, V. D., Pozdnyakov, S. G., Popruzhenko, S. V., & Popov, V. S. (2005). Summation of divergent series and
Zeldovich’s regularization method. Physics of Atomic Nuclei, 68, 677-685.
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Garrido, E., Fedorov, D. V., Jensen, A. S., & Fynbo, H. O. U. (2006). Anatomy of three-body decay III: Energy distributions. Nuclear
Physics A, 766, 74-96.
174:{\displaystyle \int _{0}^{\infty }f(x)dx\equiv \lim _{\alpha \to 0^{+}}\int _{0}^{\infty }f(x)e^{-\alpha x^{2}}dx.}
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which is divergent since there is an outgoing spherical wave. Zeldovich regularization uses a
289:{\displaystyle \sum _{n}c_{n}\equiv \lim _{\alpha \to 0^{+}}\sum _{n}c_{n}e^{-\alpha n^{2}}.}
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Zel’Dovich, Y. B. (1961). On the theory of unstable states. Sov. Phys. JETP, 12, 542.
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in 1961. Zeldovich was originally interested in calculating the norm of the
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type-regularization and is defined, for divergent integrals, by
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184:and, for divergent series, by
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17:Zeldovich regularization
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21:regularization method
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386:Concepts in physics
381:Summability methods
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37:Gamow wave function
25:divergent integrals
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29:divergent series
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33:Yakov Zeldovich
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23:to calculate
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19:refers to a
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375:Categories
317:References
269:α
266:−
242:∑
226:→
223:α
215:≡
196:∑
148:α
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123:∞
114:∫
98:→
95:α
87:≡
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300:See also
41:Gaussian
27:and
219:lim
91:lim
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