Resolving the partition function’s paradox of the hydrogen atom

Our protagonist here is the electronic contribution to the canonical ensemble partition function of the hydrogen atom. It is well known that it poses an intriguing paradox, (Blinder, 1995). We attempt to solve it by appeal to a mathematical zeta function’s regularization technique. •We give a possib...

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Published inPhysica A Vol. 534; p. 122169
Main Authors Plastino, A., Rocca, M.C., Ferri, G.L.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.11.2019
Subjects
Hydrogen atom paradox
Mean energy
Partition function
Specific heat
Specific heat
Mean energy
Partition function
Hydrogen atom paradox
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Abstract Our protagonist here is the electronic contribution to the canonical ensemble partition function of the hydrogen atom. It is well known that it poses an intriguing paradox, (Blinder, 1995). We attempt to solve it by appeal to a mathematical zeta function’s regularization technique. •We give a possible solution to the paradox of the partition function of the hydrogen atom.•We use zeta function regularization.•We evaluate the partition function and the mean energy.•We obtain the corresponding specific heat.
AbstractList Our protagonist here is the electronic contribution to the canonical ensemble partition function of the hydrogen atom. It is well known that it poses an intriguing paradox, (Blinder, 1995). We attempt to solve it by appeal to a mathematical zeta function’s regularization technique. •We give a possible solution to the paradox of the partition function of the hydrogen atom.•We use zeta function regularization.•We evaluate the partition function and the mean energy.•We obtain the corresponding specific heat.
ArticleNumber 122169
Author Plastino, A.
Rocca, M.C.
Ferri, G.L.
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  email: mariocarlosrocca@gmail.com
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  surname: Ferri
  fullname: Ferri, G.L.
  organization: Fac. de C. Exactas-National University La Pampa, Peru y Uruguay, Santa Rosa, La Pampa, Argentina
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crossref_primary_10_3390_e23020131
crossref_primary_10_4236_jmp_2021_122008
crossref_primary_10_1103_PhysRevResearch_2_043088
crossref_primary_10_1209_0295_5075_ad49d2
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Keywords Specific heat
Mean energy
Partition function
Hydrogen atom paradox
Language English
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Snippet Our protagonist here is the electronic contribution to the canonical ensemble partition function of the hydrogen atom. It is well known that it poses an...
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Mean energy
Partition function
Specific heat
Title Resolving the partition function’s paradox of the hydrogen atom
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