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55 changes: 55 additions & 0 deletions docs/src/refs.bib
Original file line number Diff line number Diff line change
Expand Up @@ -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}
}
24 changes: 12 additions & 12 deletions src/HarmonicOscillator.jl
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Expand Up @@ -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"""
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25 changes: 12 additions & 13 deletions src/HydrogenAtom.jl
Original file line number Diff line number Diff line change
Expand Up @@ -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"""
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