Physics:Quantum Exactly solvable quantum systems - Revision history

Maintenance script: Normalize quantum page header order

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	{{Quantum article nav\|previous=Physics:Quantum Density matrix\|previous label=Density matrix\|next=Physics:Quantum many-body problem\|next label=Many-body problem}}		{{Quantum article nav\|previous=Physics:Quantum Density matrix\|previous label=Density matrix\|next=Physics:Quantum many-body problem\|next label=Many-body problem}}

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Maintenance script: Clean Short description prefix and add Book I label

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Maintenance script: Apply continuous Quantum previous-next navigation

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	{{Quantum article nav\|previous=Physics:Quantum Density matrix\|previous label=Density matrix\|next=Physics:Quantum ~~Formulas Collection~~\|next label=~~Formulas Collection~~}}		{{Quantum article nav\|previous=Physics:Quantum Density matrix\|previous label=Density matrix\|next=Physics:Quantum many-body problem\|next label=Many-body problem}}

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Maintenance script: Improve Book I intro quality

2026-05-20T09:02:57Z

Improve Book I intro quality

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	'''Exactly solvable quantum systems''' ~~is a Book I topic in~~ the ~~Quantum Collection. The~~ particle in a box (or infinite potential well) is one of the simplest exactly solvable models in quantum mechanics. It describes a particle confined to a finite region of space with infinitely high potential barriers at the boundaries. Exactly solvable quantum systems, including the particle in a box, harmonic oscillator, hydrogen atom, and central potentials. The particle in a box (or infinite potential well) is one of the simplest exactly solvable models in quantum mechanics. It describes a particle confined to a finite region of space with infinitely high potential barriers at the boundaries. Exactly solvable quantum systems, including the particle in a box, harmonic oscillator, hydrogen atom, and central potentials.		'''Exactly solvable quantum systems''' the particle in a box (or infinite potential well) is one of the simplest exactly solvable models in quantum mechanics. It describes a particle confined to a finite region of space with infinitely high potential barriers at the boundaries. Exactly solvable quantum systems, including the particle in a box, harmonic oscillator, hydrogen atom, and central potentials. The particle in a box (or infinite potential well) is one of the simplest exactly solvable models in quantum mechanics. It describes a particle confined to a finite region of space with infinitely high potential barriers at the boundaries. Exactly solvable quantum systems, including the particle in a box, harmonic oscillator, hydrogen atom, and central potentials. The particle is therefore restricted to the interval 0 .
	~~</div>~~
	~~</div>'''~~
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2026-05-20T08:46:53Z

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	</math>		</math>

	where <math>Y_{lm}</math> are ~~[[Wikipedia:Spherical harmonics\|~~spherical harmonics]].		where <math>Y_{lm}</math> are spherical harmonics.

	=== Energy levels ===		=== Energy levels ===

Maintenance script: Clean Book I red links, intro, and image slots

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Clean Book I red links, intro, and image slots

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	~~The~~ '''particle in a box~~'''~~ (or infinite potential well) is one of the simplest exactly solvable models in quantum mechanics. It describes a particle confined to a finite region of space with infinitely high potential barriers at the boundaries.~~<ref>{{cite book \|last=Griffiths \|first=David J~~. ~~\|title=Introduction~~ to ~~Quantum Mechanics \|publisher=Pearson \|year=2018}}</ref>~~		'''Exactly solvable quantum systems''' is a Book I topic in the Quantum Collection. The particle in a box (or infinite potential well) is one of the simplest exactly solvable models in quantum mechanics. It describes a particle confined to a finite region of space with infinitely high potential barriers at the boundaries. Exactly solvable quantum systems, including the particle in a box, harmonic oscillator, hydrogen atom, and central potentials. The particle in a box (or infinite potential well) is one of the simplest exactly solvable models in quantum mechanics. It describes a particle confined to a finite region of space with infinitely high potential barriers at the boundaries. Exactly solvable quantum systems, including the particle in a box, harmonic oscillator, hydrogen atom, and central potentials.

	~~'''<div style="float:right; border:1px solid #ccc; padding:5px; background:#f9f9f9; width:400px; margin:0 0 10px 10px;">~~
	~~<div style="font-size:90%; margin-top:5px;">~~
	Exactly solvable quantum systems, including the particle in a box, harmonic oscillator, hydrogen atom, and central potentials.
	</div>		</div>
	</div>'''		</div>'''

Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:48:35Z

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	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Quantum Exactly solvable quantum systems\|1}}		{{Sourceattribution\|Physics:Quantum Exactly solvable quantum systems\|1}}

← Older revision		Revision as of 11:09, 22 May 2026
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	{{Quantum book backlink\|Mathematical structure and systems}}		{{Quantum book backlink\|Mathematical structure and systems}}
	{{Quantum article nav\|previous=Physics:Quantum Density matrix\|previous label=Density matrix\|next=Physics:Quantum many-body problem\|next label=Many-body problem}}		{{Quantum article nav\|previous=Physics:Quantum Density matrix\|previous label=Density matrix\|next=Physics:Quantum many-body problem\|next label=Many-body problem}}