Physics:Quantum Harmonic Oscillator field modes - Revision history

WikiHarold: Restore missing Quantum reference definitions

2026-05-24T00:31:10Z

Restore missing Quantum reference definitions

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	Each mode therefore has exactly the same mathematical structure as a quantum harmonic oscillator.<ref name="peskin"/>		Each mode therefore has exactly the same mathematical structure as a quantum harmonic oscillator.<ref name="peskin">Peskin, M. E.; Schroeder, D. V. ''An Introduction to Quantum Field Theory'' (1995).</ref>

	== Quantization of the modes ==		== Quantization of the modes ==
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	== References ==		= References =
	{{reflist\|3}}		{{reflist\|3}}
	{{Author\|Harold Foppele}}		{{Author\|Harold Foppele}}

	{{Sourceattribution\|Physics:Quantum Harmonic Oscillator field modes\|1}}		{{Sourceattribution\|Physics:Quantum Harmonic Oscillator field modes\|1}}

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	{{Short description\|Quantum field mode decomposition in which each mode behaves as a harmonic oscillator}}~~Book I~~		{{Short description\|Quantum field mode decomposition in which each mode behaves as a harmonic oscillator}}

	{{Quantum book backlink\|Quantum field theory}}		{{Quantum book backlink\|Quantum field theory}}

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Maintenance script: Apply continuous Quantum previous-next navigation

2026-05-20T21:59:48Z

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2026-05-20T12:26:00Z

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	'''Harmonic Oscillator field modes''' ~~is a Book I topic in the Quantum Collection. Quantum~~ harmonic oscillator field modes arise when a quantized field is decomposed into independent normal modes, each of which behaves mathematically like a quantum harmonic oscillator. This is one of the key bridges between ordinary quantum mechanics and quantum field theory, because it shows how particle states emerge from the quantization of field oscillations. Field quantization as a sum of independent harmonic oscillator modes in momentum space Quantum harmonic oscillator field modes arise when a quantized field is decomposed into independent normal modes, each of which behaves mathematically like a quantum harmonic oscillator. This is one of the key bridges between ordinary quantum mechanics and quantum field theory, because it shows how particle states emerge from the quantization of field oscillations.~~</div>~~		'''Harmonic Oscillator field modes''' quantum harmonic oscillator field modes arise when a quantized field is decomposed into independent normal modes, each of which behaves mathematically like a quantum harmonic oscillator. This is one of the key bridges between ordinary quantum mechanics and quantum field theory, because it shows how particle states emerge from the quantization of field oscillations. Field quantization as a sum of independent harmonic oscillator modes in momentum space Quantum harmonic oscillator field modes arise when a quantized field is decomposed into independent normal modes, each of which behaves mathematically like a quantum harmonic oscillator. This is one of the key bridges between ordinary quantum mechanics and quantum field theory, because it shows how particle states emerge from the quantization of field oscillations. In free field theory, the dynamics of each mode are analogous to those of a harmonic oscillator.
	~~</div>~~
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	'''Quantum harmonic oscillator field modes~~'''~~ arise when a quantized field is decomposed into independent normal modes, each of which behaves mathematically like a quantum harmonic oscillator.~~<ref name="peskin">Peskin, M. E.; Schroeder, D. V. ''An Introduction to Quantum Field Theory'' (1995).</ref>~~ This is one of the key bridges between ordinary quantum mechanics and quantum field theory, because it shows how particle states emerge from the quantization of field oscillations.		'''Harmonic Oscillator field modes''' is a Book I topic in the Quantum Collection. Quantum harmonic oscillator field modes arise when a quantized field is decomposed into independent normal modes, each of which behaves mathematically like a quantum harmonic oscillator. This is one of the key bridges between ordinary quantum mechanics and quantum field theory, because it shows how particle states emerge from the quantization of field oscillations. Field quantization as a sum of independent harmonic oscillator modes in momentum space Quantum harmonic oscillator field modes arise when a quantized field is decomposed into independent normal modes, each of which behaves mathematically like a quantum harmonic oscillator. This is one of the key bridges between ordinary quantum mechanics and quantum field theory, because it shows how particle states emerge from the quantization of field oscillations.</div>
	~~<div style="float:right; border:1px solid #ccc; padding:4px; background:#fff8dc; margin:0 0 1em 1em; width:420px;">~~
	~~<div style="font-size:90%;">~~Field quantization as a sum of independent harmonic oscillator modes in momentum space</div>
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Maintenance script: Normalize Book I Quantum page structure

2026-05-19T22:50:22Z

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

	{{Sourceattribution\|Quantum field ~~theory (QFT) core~~\|1}}		{{Sourceattribution\|Physics:Quantum Harmonic Oscillator field modes\|1}}

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