Nanomechanics is barely mechanical quantummechanics - Revision history

Apm: /* Notes */ made the headline more informative

2024-02-11T11:35:45Z

Notes: made the headline more informative

← Older revision		Revision as of 13:35, 11 February 2024
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	* (3) decreasing the degree of freedom		* (3) decreasing the degree of freedom

	= ~~Notes~~ =		= Deviations from equipartitioning theorem & Dulong Petite law =

	Note that on average it is not kT/2 per degree of freedom. <br>		Note that on average it is not kT/2 per degree of freedom. <br>

2024-02-11T11:19:48Z

← Older revision		Revision as of 13:19, 11 February 2024
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	* [[Pages with math]]		* [[Pages with math]]
	* [[Quantum mechanics]]		* [[Quantum mechanics]]
			* '''[[Common critique towards diamondoid atomically precise manufacturing and technology]]'''

	[[Category:Pages with math]]		[[Category:Pages with math]]

2023-12-05T09:30:14Z

added a note to constrain to 360°

← Older revision		Revision as of 11:30, 5 December 2023
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	[[File:Quantum-cone-detailed.svg\|600px\|thumb\|right\|The three parameters that can be used to get something to behave quantum mechanically. <br>{{wikitodo\|Make the graphic less silly - no triangle frame - Boltzmann factor - ...}}]]		[[File:Quantum-cone-detailed.svg\|600px\|thumb\|right\|The three parameters (temperature, inertia, confinement) that can be used to get something to behave quantum mechanically. Note that an apparent absence of an angular constraint is still a constraint to a finite 360° (or 720° taking the properties of electrons into account). <br>{{wikitodo\|Make the graphic less silly - no triangle frame - Boltzmann factor - ...}}]]

	This is just a rule of thumb estimation with simple algebra <br>		This is just a rule of thumb estimation with simple algebra <br>

2023-12-05T09:23:18Z

Added note on deviation from kT/2 per DOF

@@ Line 106: / Line 106: @@
 * (2) lowering inertia
 * (3) decreasing the degree of freedom
 = Related =
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 * [https://en.wikipedia.org/wiki/Rotational_spectroscopy Rotational_spectroscopy]
 * [https://en.wikipedia.org/wiki/Equipartition_theorem Equipartition theorem]
 Quantummechanicalness in terms of decoherence time:

2023-06-07T10:58:26Z

← Older revision		Revision as of 12:58, 7 June 2023
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	[[File:Quantum-cone-detailed.svg\|600px\|thumb\|right\|The three parameters that can be used to get something to behave quantum mechanically. <br>{{wikitodo\|Make the graphic less silly - no triangle frame - Boltzmann factor - ...}}]]		[[File:Quantum-cone-detailed.svg\|600px\|thumb\|right\|The three parameters that can be used to get something to behave quantum mechanically. <br>{{wikitodo\|Make the graphic less silly - no triangle frame - Boltzmann factor - ...}}]]

	This is just a rule of thumb estimation <br>		This is just a rule of thumb estimation with simple algebra <br>
	to go get a very crude initial estimate.		in order to go get a very crude initial estimate.

	This page judges "quantummechanicalness" in the sense of <br>		This page judges "quantummechanicalness" in the sense of <br>

2023-06-07T10:57:54Z

← Older revision		Revision as of 12:57, 7 June 2023
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	[[File:Quantum-cone-detailed.svg\|600px\|thumb\|right\|The three parameters that can be used to get something to behave quantum mechanically. {{wikitodo\|Make the graphic less silly - no triangle frame - Boltzmann factor - ...}}]]		[[File:Quantum-cone-detailed.svg\|600px\|thumb\|right\|The three parameters that can be used to get something to behave quantum mechanically. <br>{{wikitodo\|Make the graphic less silly - no triangle frame - Boltzmann factor - ...}}]]

	This is just a rule of thumb estimation <br>		This is just a rule of thumb estimation <br>

2022-07-22T05:59:30Z

Energy per quantum (quantum mechanical quantum)

← Older revision		Revision as of 07:59, 22 July 2022
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	The size of the energy quanta <math>\Delta E_{Quantum}</math>		The size of the energy quanta <math>\Delta E_{Quantum}</math>
	* depends on the system under consideration. <br>		* depends on the system under consideration. <br>
	* falls out from the spacial restraints (linear or circular) that ~~enforcing~~ a minimum impulse and thus a minimum energy		* falls out from the spacial restraints (linear or circular) that <br> enforce a minimum impulse and thus a minimum energy

	=== Reciprocative linear motion ===		=== Reciprocative linear motion ===

2022-07-22T05:58:35Z

Reciprocative linear motion

← Older revision		Revision as of 07:58, 22 July 2022
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	=== Reciprocative linear motion ===		=== Reciprocative linear motion ===

	To see quantum behaviour (in position space) the system must be spatially bounded.		To see quantum behaviour (in position space) the system must be spatially bounded. <br>
	Thus reciprocative motion (here in a 1D box) considered.		Thus reciprocative motion (here in a 1D box) considered.

2022-07-22T05:45:10Z

rotative (full 360°)

← Older revision		Revision as of 07:45, 22 July 2022
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	Note that dinitrogen is a single free floating lightweight molecule. <br>		Note that dinitrogen is a single free floating lightweight molecule. <br>
	In advanced nano-machinery there are axles made of thousands and thousands of atoms which <br>		In advanced nano-machinery there are axles made of thousands and thousands of atoms which <br>
	are in turn stiffly integrated in an axle system made out of millions of atoms. <br>		are in turn stiffly integrated in an axle system made out of many millions of atoms. <br>
	This is making energy quantization imperceptibly low even at liquid helium temperatures. <br>		This is making energy quantization imperceptibly low even at liquid helium temperatures. <br>
	'''That is why "Nanomechanics is barely mechanical quantummechanics"'''.		'''That is why "Nanomechanics is barely mechanical quantummechanics"'''.

2021-06-25T11:19:42Z