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Article #14149Re: Hubbard-Storatonovich Transformation
From: Jiro Iwai
Date: Fri, 10 Nov 1995 00:00
Date: Fri, 10 Nov 1995 00:00
27 lines
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1206 bytes
้ๅฑฑๅญฆ้ขใฎๅฒฉไบใจ็ณใใพใใ
"Hubbard-Stratonovich Transformation"ใฎ่จไบใใในใใใ่
ใงใใ
>In[1]:=
>Integrate[Exp[- Pi (x^2) - (2 a x) Sqrt[2]],{x,-Infinity,Infinity}]
>
>Out[1]:=
>Exp[2 a^2 / Pi]
>
>ใงใฏใชใใงใใใใ? Mathematica2.2ใง่จ็ฎใใพใใ๏ผ
ใๆๆใฎใจใใใงใใ
ๆฌๅฝใฏ
Exp[a^2]=Integrate[Exp[- Pi (x^2) - (2 a x)
Sqrt[Pi]],{x,-Infinity,Infinity}]
ใจๆธใใใใฃใใฎใงใใ
้้ใใพใใใใใใใชใใใ
--
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้ๅฑฑๅญฆ้ขๅคงๅญฆใ็ๅทฅๅญฆ้จใ็ฉ็ๅญฆ็งใ้็ ็ฉถๅฎคใๅฒฉไบไบ้
iwai@phys.aoyama.ac.jp
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X-Google-Language: Japanese,JIS X-Google-Thread: f4956,b9a7a133a7f3a1b0 X-Google-Attributes: gidf4956,public From: iwai@phys.aoyama.ac.jp (Jiro Iwai) Subject: Re: Hubbard-Storatonovich Transformation Date: 1995/11/10 Message-ID: <iwai-1011950033420001@nasuno.phys.aoyama.ac.jp> X-Deja-AN: 119013166 references: <iwai-3010951606370001@133.2.109.21> <40156003.95Nov919543@tblue09.ex.ecip.osaka-u.ac.jp> content-type: text/plain; charset=iso-2022-jp organization: Aoyama Gakuin mime-version: 1.0 newsgroups: fj.sci.math