Physics:Quantum Standing waves and modes - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:30Z

Restore missing Quantum reference definitions

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	A standing wave is formed by the superposition of two waves of the same frequency and amplitude traveling in opposite directions. The result is a pattern with fixed '''nodes''' and '''antinodes'''.<ref>[https://www.britannica.com/science/standing-wave-physics Standing wave – Britannica]</ref>		A standing wave is formed by the superposition of two waves of the same frequency and amplitude traveling in opposite directions. The result is a pattern with fixed '''nodes''' and '''antinodes'''.<ref>[https://www.britannica.com/science/standing-wave-physics Standing wave – Britannica]</ref>

	In quantum mechanics, confined particles are described by wavefunctions that behave like standing waves rather than unrestricted traveling waves.<ref name="PBOX" />		In quantum mechanics, confined particles are described by wavefunctions that behave like standing waves rather than unrestricted traveling waves.<ref name="PBOX">[https://openstax.org/books/university-physics-volume-3/pages/7-4-the-quantum-particle-in-a-box The Quantum Particle in a Box – OpenStax]</ref>

	== Allowed modes ==		== Allowed modes ==
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	==References==		= References =
	{{reflist\|3}}		{{reflist\|3}}
	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Physics:Quantum Standing waves and modes\|1}}		{{Sourceattribution\|Physics:Quantum Standing waves and modes\|1}}

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	{{Quantum book backlink\|Wavefunctions and modes}}		{{Quantum book backlink\|Wavefunctions and modes}}
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	{{Short description\|Quantum Collection topic on Quantum Standing waves and modes}}~~Book I~~		{{Short description\|Quantum Collection topic on Quantum Standing waves and modes}}

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	~~~~{{Short description\|Quantum Collection topic on Quantum Standing waves and modes}}		{{Short description\|Quantum Collection topic on Quantum Standing waves and modes}}Book I

	{{Quantum book backlink\|Wavefunctions and modes}}		{{Quantum book backlink\|Wavefunctions and modes}}

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2026-05-20T12:24:12Z

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2026-05-20T09:03:35Z

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	'''Standing waves and modes''' ~~is a Book I topic in the Quantum Collection. Quantum~~ standing waves and modes describe the allowed wave patterns of a confined quantum system. Because the wavefunction must satisfy boundary conditions, only certain standing-wave solutions are permitted, and these correspond to discrete quantum states. Quantum standing waves and modes describe the allowed wave patterns of a confined quantum system. Because the wavefunction must satisfy boundary conditions, only certain standing-wave solutions are permitted, and these correspond to discrete quantum states. A standing wave is formed by the superposition of two waves of the same frequency and amplitude traveling in opposite directions. The result is a pattern with fixed nodes and antinodes. In quantum mechanics, confined particles are described by wavefunctions that behave like standing waves rather than unrestricted traveling waves.		'''Standing waves and modes''' quantum standing waves and modes describe the allowed wave patterns of a confined quantum system. Because the wavefunction must satisfy boundary conditions, only certain standing-wave solutions are permitted, and these correspond to discrete quantum states. Quantum standing waves and modes describe the allowed wave patterns of a confined quantum system. Because the wavefunction must satisfy boundary conditions, only certain standing-wave solutions are permitted, and these correspond to discrete quantum states. A standing wave is formed by the superposition of two waves of the same frequency and amplitude traveling in opposite directions. The result is a pattern with fixed nodes and antinodes. In quantum mechanics, confined particles are described by wavefunctions that behave like standing waves rather than unrestricted traveling waves.
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	'''~~Quantum standing~~ waves and modes''' describe the allowed wave patterns of a confined quantum system. Because the wavefunction must satisfy boundary conditions, only certain standing-wave solutions are permitted, and these correspond to discrete quantum states.~~<ref name="PBOX">[https://openstax~~.~~org/books/university-physics-volume-3/pages/7-4-~~the-quantum~~-particle-~~in~~-a-box~~ The ~~Quantum Particle in~~ a ~~Box – OpenStax]</ref>~~		'''Standing waves and modes''' is a Book I topic in the Quantum Collection. Quantum standing waves and modes describe the allowed wave patterns of a confined quantum system. Because the wavefunction must satisfy boundary conditions, only certain standing-wave solutions are permitted, and these correspond to discrete quantum states. Quantum standing waves and modes describe the allowed wave patterns of a confined quantum system. Because the wavefunction must satisfy boundary conditions, only certain standing-wave solutions are permitted, and these correspond to discrete quantum states. A standing wave is formed by the superposition of two waves of the same frequency and amplitude traveling in opposite directions. The result is a pattern with fixed nodes and antinodes. In quantum mechanics, confined particles are described by wavefunctions that behave like standing waves rather than unrestricted traveling waves.
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Maintenance script: Normalize Quantum book page structure and short text

2026-05-19T23:06:18Z

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	They provide the bridge between boundary conditions, eigenstates, and quantized spectra.<ref>[https://www.britannica.com/science/quantum-mechanics-physics/Schrodingers-wave-mechanics Schrödinger’s wave mechanics – Britannica]</ref>		They provide the bridge between boundary conditions, eigenstates, and quantized spectra.<ref>[https://www.britannica.com/science/quantum-mechanics-physics/Schrodingers-wave-mechanics Schrödinger’s wave mechanics – Britannica]</ref>

			== Description ==
			'''Standing waves and modes''' is a matter-scale concept used to organize how quantum theory describes atoms, particles, fields, condensed matter, plasma, or spacetime-related systems. In the Quantum Collection it is placed by scale so the reader can move from materials and molecules down to subatomic degrees of freedom.

			== Quantum context ==
			At this scale, the relevant behavior is controlled by quantized states, interactions, conservation laws, and the way excitations or particles are observed. The concept is normally linked to measurable properties such as energy, momentum, charge, spin, spectra, scattering rates, or collective modes.

			== Role in the collection ==
			This page provides a compact reference point for related pages in Book II. It should be read together with nearby matter-scale topics and the corresponding foundations in [[Physics:Quantum mechanics\|quantum mechanics]].<ref name="matter-wiki">{{cite web \|url=https://en.wikipedia.org/wiki/Quantum_mechanics \|title=Quantum mechanics \|website=Wikipedia \|access-date=2026-05-20}}</ref>

	=See also=		=See also=

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2026-05-19T22:49:07Z

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

	{{Sourceattribution\|Quantum Standing waves and modes\|1}}		{{Sourceattribution\|Physics:Quantum Standing waves and modes\|1}}

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	{{Quantum article nav\|previous=Physics:Quantum Boundary conditions and quantization\|previous label=Boundary conditions and quantization\|next=Physics:Quantum Normal modes and field quantization\|next label=Normal modes and field quantization}}		{{Quantum article nav\|previous=Physics:Quantum Boundary conditions and quantization\|previous label=Boundary conditions and quantization\|next=Physics:Quantum Normal modes and field quantization\|next label=Normal modes and field quantization}}