From c4b873659b31ae5e97ac48cdd8ced1ae1b96c4f6 Mon Sep 17 00:00:00 2001 From: ajarifi Date: Thu, 6 Aug 2026 21:59:22 +0900 Subject: [PATCH] add bib --- docs/src/refs.bib | 55 +++++++++++++++++++++++++++++++++++++++ src/HarmonicOscillator.jl | 24 ++++++++--------- src/HydrogenAtom.jl | 25 +++++++++--------- 3 files changed, 79 insertions(+), 25 deletions(-) diff --git a/docs/src/refs.bib b/docs/src/refs.bib index 9f11690a..8d05ecd4 100644 --- a/docs/src/refs.bib +++ b/docs/src/refs.bib @@ -139,4 +139,59 @@ @misc{UCSD title = {UCSD Physics 130, Quantum Physics}, howpublished = {\url{https://quantummechanics.ucsd.edu/ph130a/130_notes/node244.html}}, note = {Accessed: 2025-08-08} +} + +@book{Landau1965, + author = {L. D. Landau and E. M. Lifshitz}, + title = {Quantum Mechanics: Non-Relativistic Theory}, + edition = {2}, + publisher = {Pergamon Press}, + year = {1965} +} + +@book{Schiff1968, + author = {Leonard I. Schiff}, + title = {Quantum Mechanics}, + edition = {3}, + publisher = {McGraw-Hill Book Company}, + year = {1968} +} + +@book{Messiah1999, + author = {Albert Messiah}, + title = {Quantum Mechanics}, + publisher = {Dover Publications}, + year = {1999} +} + +@book{Greiner1994, + author = {Walter Greiner}, + title = {Quantum Mechanics: An Introduction}, + edition = {3}, + publisher = {Springer}, + year = {1994} +} + +@book{Griffiths1995, + author = {David J. Griffiths}, + title = {Introduction to Quantum Mechanics}, + publisher = {Prentice Hall}, + year = {1995} +} + +@book{Atkins2008, + author = {Peter W. Atkins and Julio De Paula}, + title = {Atkins' Physical Chemistry}, + edition = {8}, + publisher = {W. H. Freeman}, + year = {2008} +} + +@book{Sakurai2021, + author = {J. J. Sakurai and Jim Napolitano}, + title = {Modern Quantum Mechanics}, + edition = {3}, + publisher = {Cambridge University Press}, + year = {2021}, + doi = {10.1017/9781108587280} } \ No newline at end of file diff --git a/src/HarmonicOscillator.jl b/src/HarmonicOscillator.jl index 54fc8e5a..0e5b5e04 100644 --- a/src/HarmonicOscillator.jl +++ b/src/HarmonicOscillator.jl @@ -86,20 +86,20 @@ HO = HarmonicOscillator(k=1.0, m=1.0, hbar=1.0) ## References Main: -- _The Digital Library of Mathematical Functions_ (DLMF) [18.5.18](https://dlmf.nist.gov/18.5#E18) -- _cpprefjp_, [laguerre_polynomial](https://cpprefjp.github.io/reference/cmath/laguerre_polynomial.html) -- [D. J. Griffiths, D. F. Schroeter, _Introduction to Quantum Mechanics_ **Third Edition** (Cambridge University Press, 2018)](https://doi.org/10.1017/9781316995433) p.48, 2.3.2 Analytic Method +* [DLMF](@cite) _The Digital Library of Mathematical Functions_ (DLMF) [18.5.18](https://dlmf.nist.gov/18.5#E18) +* [cpprefjp](@cite) C++ Japanese Reference _cpprefjp_, [laguerre_polynomial](https://cpprefjp.github.io/reference/cmath/laguerre_polynomial.html) +* [Griffiths2018](@cite) D. J. Griffiths, D. F. Schroeter, _Introduction to Quantum Mechanics_ **Third Edition** (Cambridge University Press, 2018) p.48, 2.3.2 Analytic Method Supplemental: -- The Digital Library of Mathematical Functions (DLMF) [18.3 Table1](https://dlmf.nist.gov/18.3#T1), [18.5 Table1](https://dlmf.nist.gov/18.5#T1), [18.5.13](https://dlmf.nist.gov/18.5#E13), [18.5.18](https://dlmf.nist.gov/18.5#E18) -- L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon Press, 1965) [p.595 (a.4), (a.6)](https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n607/mode/2up) -- L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, 1968) [p.71 (13.12)](https://archive.org/details/ost-physics-schiff-quantummechanics/page/n87/mode/2up) -- A. Messiah, Quanfum Mechanics (Dover Publications, 1999) [p.491 (B.59)](https://archive.org/details/quantummechanics0000mess/page/491/mode/1up) -- W. Greiner, Quantum Mechanics: An Introduction Third Edition (Springer, 1994) [p.152 (7.22)](https://archive.org/details/quantummechanics0001grei_u4x0/page/152/mode/1up) -- D. J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, 1995) [p.41 Table 2.1](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/41/mode/1up), [p.43 (2.70)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/43/mode/1up) -- D. A. McQuarrie, J. D. Simon, Physical Chemistry: A Molecular Approach (University Science Books, 1997) [p.170 Table 5.2](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n193/mode/1up) -- P. W. Atkins, J. De Paula, Atkins' Physical Chemistry, 8th edition (W. H. Freeman, 2008) [p.293 Table 9.1](https://archive.org/details/atkinsphysicalch00pwat/page/292/mode/2up) -- J. J. Sakurai, J. Napolitano, Modern Quantum Mechanics Third Edition (Cambridge University Press, 2021) [p.524 (B.29)](https://doi.org/10.1017/9781108587280) +* [DLMF](@cite) The Digital Library of Mathematical Functions (DLMF) [18.3 Table1](https://dlmf.nist.gov/18.3#T1), [18.5 Table1](https://dlmf.nist.gov/18.5#T1), [18.5.13](https://dlmf.nist.gov/18.5#E13), [18.5.18](https://dlmf.nist.gov/18.5#E18) +* [Landau1965](@cite) L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon Press, 1965) [p.595 (a.4), (a.6)](https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n607/mode/2up) +* [Schiff1968](@cite) L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, 1968) [p.71 (13.12)](https://archive.org/details/ost-physics-schiff-quantummechanics/page/n87/mode/2up) +* [Messiah1999](@cite) A. Messiah, Quanfum Mechanics (Dover Publications, 1999) [p.491 (B.59)](https://archive.org/details/quantummechanics0000mess/page/491/mode/1up) +* [Greiner1994](@cite) W. Greiner, Quantum Mechanics: An Introduction Third Edition (Springer, 1994) [p.152 (7.22)](https://archive.org/details/quantummechanics0001grei_u4x0/page/152/mode/1up) +* [Griffiths1995](@cite) D. J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, 1995) [p.41 Table 2.1](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/41/mode/1up), [p.43 (2.70)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/43/mode/1up) +* [McQuarrie1997](@cite) D. A. McQuarrie, J. D. Simon, Physical Chemistry: A Molecular Approach (University Science Books, 1997) [p.170 Table 5.2](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n193/mode/1up) +* [Atkins2008](@cite) P. W. Atkins, J. De Paula, Atkins' Physical Chemistry, 8th edition (W. H. Freeman, 2008) [p.293 Table 9.1](https://archive.org/details/atkinsphysicalch00pwat/page/292/mode/2up) +* [Sakurai2021](@cite) J. J. Sakurai, J. Napolitano, Modern Quantum Mechanics Third Edition (Cambridge University Press, 2021) [p.524 (B.29)](https://doi.org/10.1017/9781108587280) """ HarmonicOscillator @doc raw""" diff --git a/src/HydrogenAtom.jl b/src/HydrogenAtom.jl index 824ea31c..a344a380 100644 --- a/src/HydrogenAtom.jl +++ b/src/HydrogenAtom.jl @@ -113,21 +113,20 @@ HA = HydrogenAtom(Z=1, m_e=1.0, a_0=1.0, E_h=1.0, hbar=1.0) ## References Main: -- _The Digital Library of Mathematical Functions_ (DLMF), [18.3 Table1](https://dlmf.nist.gov/18.3#T1), [18.5 Table1](https://dlmf.nist.gov/18.5#T1), [18.5.16](https://dlmf.nist.gov/18.5#E16), [18.5.17](https://dlmf.nist.gov/18.5#E17) -- _cpprefjp_, [assoc_legendre](https://cpprefjp.github.io/reference/cmath/assoc_legendre.html), [assoc_laguerre](https://cpprefjp.github.io/reference/cmath/assoc_laguerre.html) -- A. Messiah, _Quanfum Mechanics_ **VOLUME Ⅰ** (North-Holland Publishing Company, 1961), p.412 (XI.3), p.419 (XI.18) (XI.18a) (XI.18b), p.483 (B.12), p.493 (B.71) (B.72), p.494 (B.81), p495 (B.93) +* [DLMF](@cite) _The Digital Library of Mathematical Functions_ (DLMF), [18.3 Table1](https://dlmf.nist.gov/18.3#T1), [18.5 Table1](https://dlmf.nist.gov/18.5#T1), [18.5.16](https://dlmf.nist.gov/18.5#E16), [18.5.17](https://dlmf.nist.gov/18.5#E17) +* [cpprefjp](@cite) C++ Japanese Reference _cpprefjp_, [assoc_legendre](https://cpprefjp.github.io/reference/cmath/assoc_legendre.html), [assoc_laguerre](https://cpprefjp.github.io/reference/cmath/assoc_laguerre.html) +* [Messiah1961](@cite) A. Messiah, _Quantum Mechanics_ **VOLUME Ⅰ** (North-Holland Publishing Company, 1961), p.412 (XI.3), p.419 (XI.18) (XI.18a) (XI.18b), p.483 (B.12), p.493 (B.71) (B.72), p.494 (B.81), p495 (B.93) Supplemental: -- cpprefjp, [legendre](https://cpprefjp.github.io/reference/cmath/legendre.html), [assoc_legendre](https://cpprefjp.github.io/reference/cmath/assoc_legendre.html), [laguerre_polynomial](https://cpprefjp.github.io/reference/cmath/laguerre_polynomial.html), [assoc_laguerre](https://cpprefjp.github.io/reference/cmath/assoc_laguerre.html) -- The Digital Library of Mathematical Functions (DLMF), [18.3 Table1](https://dlmf.nist.gov/18.3#T1), [18.5 Table1](https://dlmf.nist.gov/18.5#T1), [18.5.16](https://dlmf.nist.gov/18.5#E16), [18.5.17](https://dlmf.nist.gov/18.5#E17), [18.5.12](https://dlmf.nist.gov/18.5#E12) -- L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon Press, 1965), [p.598 (c.1)](https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n611/mode/2up), [p.598 (c.4)](https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n611/mode/2up), [p.603 (d.13)](https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n615/mode/2up) -- L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, 1968), [p.79 (14.12)](https://archive.org/details/ost-physics-schiff-quantummechanics/page/n95/mode/1up), [p.93 (16.19)](https://archive.org/details/ost-physics-schiff-quantummechanics/page/n109/mode/1up) -- A. Messiah, Quanfum Mechanics (Dover Publications, 1999), [p.493 (B.72)](https://archive.org/details/quantummechanics0000mess/page/491/mode/1up), [p.494 Table](https://archive.org/details/quantummechanics0000mess/page/494/mode/1up), [p.493 (B.72)](https://archive.org/details/quantummechanics0000mess/page/491/mode/1up), [p.483 (B.12)](https://archive.org/details/quantummechanics0000mess/page/483/mode/1up), [p.483 (B.12)](https://archive.org/details/quantummechanics0000mess/page/483/mode/1up) -- W. Greiner, Quantum Mechanics: An Introduction Third Edition (Springer, 1994), [p.83 (4)](https://archive.org/details/quantummechanics0001grei_u4x0/page/83/mode/1up), [p.83 (5)](https://archive.org/details/quantummechanics0001grei_u4x0/page/83/mode/1up), [p.149 (21)](https://archive.org/details/quantummechanics0001grei_u4x0/page/149/mode/1up) -- D. J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, 1995), [p.126 (4.28)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/126/mode/1up), [p.96 Table3.1](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/95/mode/1up), [p.126 (4.27)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/126/mode/1up), [p.139 (4.88)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/139/mode/1up), [p.140 Table4.4](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/140/mode/1up), [p.139 (4.87)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/139/mode/1up), [p.140 Table4.5](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/140/mode/1up) -- D. A. McQuarrie, J. D. Simon, Physical Chemistry: A Molecular Approach (University Science Books, 1997), [p.195 Table6.1](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n218/mode/1up), [p.196 (6.26)](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n219/mode/1up), [p.196 Table6.2](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n220/mode/1up), [p.207 Table6.4](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n230/mode/1up) -- P. W. Atkins, J. De Paula, Atkins' Physical Chemistry, 8th edition (W. H. Freeman, 2008), [p.234](https://archive.org/details/atkinsphysicalch00pwat/page/324/mode/2up?q=Laguerre) -- [J. J. Sakurai, J. Napolitano, Modern Quantum Mechanics Third Edition (Cambridge University Press, 2021)](https://doi.org/10.1017/9781108587280), p.245 Problem 3.30.b, +* [cpprefjp](@cite) C++ Japanese Reference [legendre](https://cpprefjp.github.io/reference/cmath/legendre.html), [assoc_legendre](https://cpprefjp.github.io/reference/cmath/assoc_legendre.html), [laguerre_polynomial](https://cpprefjp.github.io/reference/cmath/laguerre_polynomial.html), [assoc_laguerre](https://cpprefjp.github.io/reference/cmath/assoc_laguerre.html) +* [DLMF](@cite) The Digital Library of Mathematical Functions (DLMF), [18.3 Table1](https://dlmf.nist.gov/18.3#T1), [18.5 Table1](https://dlmf.nist.gov/18.5#T1), [18.5.16](https://dlmf.nist.gov/18.5#E16), [18.5.17](https://dlmf.nist.gov/18.5#E17), [18.5.12](https://dlmf.nist.gov/18.5#E12) +* [Landau1965](@cite) L. D. Landau, E. M. Lifshitz, Quantum Mechanics (Pergamon Press, 1965), [p.598 (c.1)](https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n611/mode/2up), [p.598 (c.4)](https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n611/mode/2up), [p.603 (d.13)](https://archive.org/details/ost-physics-landaulifshitz-quantummechanics/page/n615/mode/2up) +* [Schiff1968](@cite) L. I. Schiff, Quantum Mechanics (McGraw-Hill Book Company, 1968), [p.79 (14.12)](https://archive.org/details/ost-physics-schiff-quantummechanics/page/n95/mode/1up), [p.93 (16.19)](https://archive.org/details/ost-physics-schiff-quantummechanics/page/n109/mode/1up) +* [Messiah1999](@cite) A. Messiah, Quanfum Mechanics (Dover Publications, 1999), [p.493 (B.72)](https://archive.org/details/quantummechanics0000mess/page/491/mode/1up), [p.494 Table](https://archive.org/details/quantummechanics0000mess/page/494/mode/1up), [p.493 (B.72)](https://archive.org/details/quantummechanics0000mess/page/491/mode/1up), [p.483 (B.12)](https://archive.org/details/quantummechanics0000mess/page/483/mode/1up), [p.483 (B.１２)](https://archive.org/details/quantummechanics0000mess/page/483/mode/１up) +* [Griffiths1995](@cite) D. J. Griffiths, Introduction to Quantum Mechanics (Prentice Hall, 1995), [p.126 (4.28)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/126/mode/1up), [p.96 Table3.1](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/95/mode/1up), [p.126 (4.27)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/126/mode/1up), [p.139 (4.88)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/139/mode/1up), [p.140 Table4.4](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/140/mode/1up), [p.139 (4.87)](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/139/mode/1up), [p.140 Table4.5](https://archive.org/details/griffiths-introduction-to-quantum-mechanics/page/140/mode/1up) +* [McQuarrie1997](@cite) D. A. McQuarrie, J. D. Simon, Physical Chemistry: A Molecular Approach (University Science Books, 1997), [p.195 Table6.1](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n218/mode/1up), [p.196 (6.26)](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n219/mode/1up), [p.196 Table6.2](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n220/mode/1up), [p.207 Table6.4](https://archive.org/details/McQuarrieSimonPhysicalChemistrySolutions/McQuarrie_Simon_Physical_Chemistry1997/page/n230/mode/1up) +* [Atkins2008](@cite) P. W. Atkins, J. De Paula, Atkins' Physical Chemistry, 8th edition (W. H. Freeman, 2008), [p.234](https://archive.org/details/atkinsphysicalch00pwat/page/324/mode/2up?q=Laguerre) +* [Sakurai2021](@cite) J. J. Sakurai, J. Napolitano, Modern Quantum Mechanics Third Edition (Cambridge University Press, 2021), [p.245 Problem 3.30.b](https://doi.org/10.1017/9781108587280) """ HydrogenAtom @doc raw"""