Computational method for the retarded potential in the real-time simulation of quantum electrodynamics

We discuss the method to compute the integrals, which appear in the retarded potential term for a real‐time simulation based on quantum electrodynamics. We show that the oscillatory integrals over the infinite interval involved in them can be efficiently performed by the method developed by Ooura an...

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Published inInternational journal of quantum chemistry Vol. 116; no. 12; pp. 932 - 938
Main Authors Fukuda, Masahiro, Naito, Kento, Ichikawa, Kazuhide, Tachibana, Akitomo
Format Journal Article
LanguageEnglish
French
German
Published Hoboken Blackwell Publishing Ltd 15.06.2016
Wiley Subscription Services, Inc
Subjects
Chemistry
DE formula
nonperturbative techniques in quantum field theory
Physical chemistry
quantum electrodynamics
Quantum physics
real-time simulation of quantum field theory
retarded potential
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Abstract We discuss the method to compute the integrals, which appear in the retarded potential term for a real‐time simulation based on quantum electrodynamics. We show that the oscillatory integrals over the infinite interval involved in them can be efficiently performed by the method developed by Ooura and Mori based on the double exponential formula. © 2016 Wiley Periodicals, Inc. Electromagnetic interactions are not transmitted instantaneously. They travel with a finite speed, which equals the speed of light. This is common in relativistic field theory and quantum electrodynamics is no exception. This effect is encapsulated in the retarded potential, where contributions in past time are integrated over consistently with the finite speed of the interaction. This article discusses a method to perform such a complicated integration efficiently.
AbstractList We discuss the method to compute the integrals, which appear in the retarded potential term for a real‐time simulation based on quantum electrodynamics. We show that the oscillatory integrals over the infinite interval involved in them can be efficiently performed by the method developed by Ooura and Mori based on the double exponential formula. © 2016 Wiley Periodicals, Inc. Electromagnetic interactions are not transmitted instantaneously. They travel with a finite speed, which equals the speed of light. This is common in relativistic field theory and quantum electrodynamics is no exception. This effect is encapsulated in the retarded potential, where contributions in past time are integrated over consistently with the finite speed of the interaction. This article discusses a method to perform such a complicated integration efficiently.
We discuss the method to compute the integrals, which appear in the retarded potential term for a real‐time simulation based on quantum electrodynamics. We show that the oscillatory integrals over the infinite interval involved in them can be efficiently performed by the method developed by Ooura and Mori based on the double exponential formula. © 2016 Wiley Periodicals, Inc.
Author Ichikawa, Kazuhide
Naito, Kento
Tachibana, Akitomo
Fukuda, Masahiro
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10.1088/1742-6596/454/1/012052
10.1016/j.theochem.2009.11.018
10.1016/0021-9991(78)90092-X
10.1007/s10910-015-0528-0
10.1002/qua.24087
10.1017/CBO9781139644167
10.14723/tmrsj.38.535
10.2977/prims/1145474603
10.1143/PTP.111.301
10.1063/1.1384012
10.2977/prims/1195192451
10.1002/qua.24726
10.1103/RevModPhys.87.765
10.1143/ptp/88.5.975
10.1016/S0377-0427(99)00223-X
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References W. H. Press, S. A. Teukolsky, W. T. Vetterling, B. P. Flannery, Numerical Recipes, 3rd ed.; Cambridge University Press: New York, 2007.
L. E. McMurchie, E. R. Davidson, J. Comput. Phys. 1978, 26, 218.
R. Pazourek, S. Nagele, J. Burgdörfer, Rev. Mod. Phys. 2015, 87, 765.
N. Nakanishi, Prog. Theor. Phys. 2004, 111, 301.
F. Krausz, M. Ivanov, Rev. Mod. Phys. 2009, 81, 163.
A. Tachibana, J. Mol. Struct. (THEOCHEM) 2010, 943, 138.
M. Senami, S. Takada, A. Tachibana, JPS Conf. Proc 2014, 1, 016014.
M. Senami, T. Miyazato, S. Takada, Y. Ikeda, A. Tachibana, J. Phys.: Conf. Ser. 2013, 454, 012052.
M. Abe, N. Nakanishi, Prog. Theor. Phys. 1992, 88, 975.
A. Tachibana, In Fundamental World of Quantum Chemistry, A Tribute to the Memory of Per-Olov Löwdin, Vol. II; E. J. Brändas, E. S. Kryachko, Eds.; Kluwer Academic Publishers: Dordrecht, 2003; pp. 211-239.
K. Ichikawa, M. Fukuda, A. Tachibana, Int. J. Quant. Chem. 2014, 114, 1567.
M. Senami, Y. Ogiso, T. Miyazato, F. Yoshino, Y. Ikeda, A. Tachibana, Trans. Mat. Res. Soc. Japan 2013, 38, 535.
A. Tachibana, J. Math. Chem. 2015, 53, 1943.
A. Tachibana, In Concepts and Methods in Modern Theoretical Chemistry; S. K. Ghosh, P. K. Chattaraj, Eds.; CRC Press: Florida, 2013; pp. 235-251
A. Tachibana, J. Chem. Phys. 2001, 115, 3497.
T. Ooura, Publ. RIMS, Kyoto Univ. 2005, 41, 971.
T. Ooura, M. Mori, J. Comput. Appl. Math. 1999, 112, 229.
H. Takahashi, M. Mori, Publ. RIMS Kyoto Univ. 1974, 9, 721.
S. Weinberg, The Quantum Theory of Fields: Volume I Foundations; Cambridge University Press: Cambridge, 1995.
A. Tachibana, J. Mol. Model 2005, 11, 301.
K. Ichikawa, M. Fukuda, A. Tachibana, Int. J. Quant. Chem. 2013, 113, 190.
2014; 1
2004; 111
2013; 38
2009; 81
2010; 943
2012
2015; 53
2015; 87
2005; 41
2007
2013; 113
2013; 454
1995
1978; 26
2013
1999; 112
1992; 88
1974; 9
2001; 115
2005; 11
2014; 114
2003; II
e_1_2_9_20_1
e_1_2_9_11_1
e_1_2_9_21_1
e_1_2_9_13_1
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References_xml – volume: 113
  start-page: 190
  year: 2013
  publication-title: Int. J. Quant. Chem.
– volume: 87
  start-page: 765
  year: 2015
  publication-title: Rev. Mod. Phys.
– volume: 11
  start-page: 301
  year: 2005
  publication-title: J. Mol. Model
– volume: 38
  start-page: 535
  year: 2013
  publication-title: Trans. Mat. Res. Soc. Japan
– volume: 26
  start-page: 218
  year: 1978
  publication-title: J. Comput. Phys.
– volume: 114
  start-page: 1567
  year: 2014
  publication-title: Int. J. Quant. Chem.
– volume: 53
  start-page: 1943
  year: 2015
  publication-title: J. Math. Chem.
– volume: 112
  start-page: 229
  year: 1999
  publication-title: J. Comput. Appl. Math.
– volume: 9
  start-page: 721
  year: 1974
  publication-title: Publ. RIMS Kyoto Univ.
– year: 2007
– volume: 41
  start-page: 971
  year: 2005
  publication-title: Publ. RIMS, Kyoto Univ.
– year: 1995
– volume: 81
  start-page: 163
  year: 2009
  publication-title: Rev. Mod. Phys.
– volume: 115
  start-page: 3497
  year: 2001
  publication-title: J. Chem. Phys.
– volume: 88
  start-page: 975
  year: 1992
  publication-title: Prog. Theor. Phys.
– volume: 943
  start-page: 138
  year: 2010
  publication-title: J. Mol. Struct. (THEOCHEM)
– volume: 454
  start-page: 012052
  year: 2013
  publication-title: J. Phys.: Conf. Ser.
– volume: 111
  start-page: 301
  year: 2004
  publication-title: Prog. Theor. Phys.
– volume: II
  start-page: 211
  year: 2003
  end-page: 239
– year: 2013
– volume: 1
  start-page: 016014
  year: 2014
  publication-title: JPS Conf. Proc
– year: 2012
– ident: e_1_2_9_8_1
  doi: 10.1007/s00894-005-0260-y
– ident: e_1_2_9_21_1
– ident: e_1_2_9_1_1
  doi: 10.1103/RevModPhys.81.163
– ident: e_1_2_9_17_1
  doi: 10.1088/1742-6596/454/1/012052
– ident: e_1_2_9_9_1
  doi: 10.1016/j.theochem.2009.11.018
– ident: e_1_2_9_24_1
  doi: 10.1016/0021-9991(78)90092-X
– ident: e_1_2_9_3_1
  doi: 10.1007/s10910-015-0528-0
– ident: e_1_2_9_11_1
  doi: 10.1002/qua.24087
– ident: e_1_2_9_20_1
  doi: 10.1017/CBO9781139644167
– ident: e_1_2_9_18_1
  doi: 10.14723/tmrsj.38.535
– volume-title: Numerical Recipes
  year: 2007
  ident: e_1_2_9_22_1
  contributor:
    fullname: Press W. H.
– ident: e_1_2_9_15_1
  doi: 10.2977/prims/1145474603
– start-page: 211
  volume-title: Fundamental World of Quantum Chemistry, A Tribute to the Memory of Per‐Olov Löwdin
  year: 2003
  ident: e_1_2_9_7_1
  contributor:
    fullname: Tachibana A.
– ident: e_1_2_9_4_1
  doi: 10.1143/PTP.111.301
– ident: e_1_2_9_6_1
  doi: 10.1063/1.1384012
– ident: e_1_2_9_16_1
  doi: 10.2977/prims/1195192451
– ident: e_1_2_9_23_1
– ident: e_1_2_9_12_1
  doi: 10.1002/qua.24726
– ident: e_1_2_9_2_1
  doi: 10.1103/RevModPhys.87.765
– ident: e_1_2_9_13_1
– ident: e_1_2_9_5_1
  doi: 10.1143/ptp/88.5.975
– volume-title: Concepts and Methods in Modern Theoretical Chemistry
  year: 2013
  ident: e_1_2_9_10_1
  contributor:
    fullname: Tachibana A.
– volume: 1
  start-page: 016014
  year: 2014
  ident: e_1_2_9_19_1
  publication-title: JPS Conf. Proc
  contributor:
    fullname: Senami M.
– ident: e_1_2_9_14_1
  doi: 10.1016/S0377-0427(99)00223-X
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Snippet We discuss the method to compute the integrals, which appear in the retarded potential term for a real‐time simulation based on quantum electrodynamics. We...
We discuss the method to compute the integrals, which appear in the retarded potential term for a real-time simulation based on quantum electrodynamics. We...
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SubjectTerms Chemistry
DE formula
nonperturbative techniques in quantum field theory
Physical chemistry
quantum electrodynamics
Quantum physics
real-time simulation of quantum field theory
retarded potential
Title Computational method for the retarded potential in the real-time simulation of quantum electrodynamics
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