Navigation Links
Stanford researchers hear the sound of quantum drums
Date:2/8/2008

Forty years ago, mathematician Mark Kac asked the theoretical question, "Can one hear the shape of a drum?"

If drums of different shapes always produce their own unique sound spectrum, then it should be possible to identify the shape of a specific drum merely by studying its spectrum, thus "hearing" the drum's shape (a procedure analogous to spectroscopy, the way scientists detect the composition of a faraway star by studying its light spectrum).

But what if two drums of different shapes could emit exactly the same sound? If so, it would be impossible to work backward from the spectrum and uniquely surmise the physical structure of the drum, because there would be more than one correct answer to the question.

It took until the 1990s for mathematicians to prove that, in fact, two drums of different shapes could produce the same sound. In other words, you can't hear the shape of a drum. That outcome, which was physically verified in one instance with vibrations on the surface of soap bubbles, raised theoretical questions about spectroscopy.

"This revolutionized our conception of the fundamental connections between shape and sound, but also had profound implications for spectroscopy in general, because it introduced an ambiguity," according to Stanford physicist Hari Manoharan.

For Manoharan, the next step in studying this conundrum was to take the drum question to another levela much lower level. He and his students investigated the drum question in the quantum realm, where it could have an effect on real nano-electronic systems.

Using a tunneling scanning microscope and two roomfuls of equipment to move around individual carbon monoxide molecules on a copper surface, they built tiny walls only one-molecule high and shaped them into nine-sided enclosures that could resonate like drums (because of the quantum wave/particle duality of the electrons within the enclosure).

Manoharan calls these enclosur
'/>"/>

Contact: Dan Stober
dstober@stanford.edu
650-721-6965
Stanford University
Source:Eurekalert

Page: 1 2 3

Related biology technology :

1. Maxygen to Present at the Stanford Group Company 13th Annual Healthcare Conference
2. Researchers at Leeds mine the Terahertz gap
3. Researchers create gold aluminum, black platinum, blue silver
4. Researchers Pinpoint Best Treatment to Reduce Deadly USA300, MRSA Staph Infections
5. Researchers develop darkest manmade material
6. Boost for Malaria Vaccine Development by Combining Strengths of Dutch and American Researchers
7. Researchers use magnetism to target cells to animal arteries
8. Ames Laboratory researchers solve fuel-cell membrane structure conundrum
9. Researchers outline structure of largest nonvirus particle ever crystallized
10. UD researchers race ahead with latest spintronics achievement
11. ASU researchers improve memory devices using nanotech
Post Your Comments:
*Name:
*Comment:
*Email:
(Date:9/23/2014)... - BIOREM Inc. (TSXV: BRM) ("Biorem" or "the Company") today announced ... date to $5 million. The orders are all odour control ... "We continue to see new orders coming in," said ... backlog has climbed to over $11 million." ... technology company that designs, manufactures and distributes a comprehensive line ...
(Date:9/23/2014)... /PRNewswire/ - Portage Biotech Inc. ("Portage" or "the Company") ... to announce that its wholly owned subsidiary, Portage ... to its team for further development of its ... cell permeable peptide platform technology derived from human ... eye. Ms. Holly Prentice ...
(Date:9/23/2014)... 2014   GenoSpace , a precision medicine software ... to enable the broad use of genomic data in ... been awarded Phase I of a Fast Track Small ... of Health (NIH) to enable enhanced data access and ... http://photos.prnewswire.com/prnh/20140922/147649 During the past decade, ...
(Date:9/23/2014)... Marktech Optoelectronics has introduced the MTE280xxx series, ... the 280 nm wavelength range. This series joins Marktech’s ... 280nm to 405nm. These new devices are suitable for ... curing. Mark Campito, Marktech’s CEO states that “what makes ... is that we offer it in one of the ...
Breaking Biology Technology:Portage Announces New Consultants for its PPL-003 Development Programs 2Portage Announces New Consultants for its PPL-003 Development Programs 3Portage Announces New Consultants for its PPL-003 Development Programs 4GenoSpace Awarded Fast Track SBIR Grant to Enable Data Access and Cohort Construction for Biorepositories 2Marktech Introduces its New Line of Deep UV Emitters 2
... , , , , , ... service for large insert vectors such as BACs, cosmids and fosmids. Agencourt , ... , rapid turnaround including: , ... strategies , Patented SPRI technology , ...
... ,Solutions Note ,, The time taken to ... for,researchers today. Whilst many manufacturers of,thermal cyclers focus ... article we highlight how Thermo's approach of focussing ... less than 1 hour. , Abstract ...
... , , , , RT-PCR amplification ... are specific for that mRNA sequence. The primer design should also , ... product derived from contaminating genomic DNA. There are two approaches , ... , , , , , ...
Cached Biology Technology:FULL LENGTH INSERT SEQUENCING 2Rapid PCR* Using Active Tube Temperature Control On Thermo's PCR Machines 2Rapid PCR* Using Active Tube Temperature Control On Thermo's PCR Machines 3
(Date:9/23/2014)... fall of an athlete,s moving body relies on an orchestrated ... angles and intersecting planes literally the geometry of ... But it,s more than just a footfall error at the ... the ACL or anterior cruciate ligament tear. In fact, size ... of the knee joint and volume of the ACL ...
(Date:9/23/2014)... Researchers have encountered variants or isoforms in microRNAs ... byproducts. A recent study, published in the journal ... isomiRs have abundances that depend on geographic subpopulations and ... given miRNA may not be the one typically listed ... microRNA isoforms are much more common than we had ...
(Date:9/23/2014)... Scientists often measure the effects of temperature on insects ... and abundance, but a Dartmouth study shows for the ... addition to temperature, ultimately limits how fast they grow. ... more about the overall environmental conditions that shape the ... lead author Lauren Culler , an Arctic postdoctoral ...
Breaking Biology News(10 mins):Does size matter? MRI imaging sheds light on athletes most at risk for severe knee injury 2Does size matter? MRI imaging sheds light on athletes most at risk for severe knee injury 3Slight alterations in microRNA sequences hold more information than previously thought 2Slight alterations in microRNA sequences hold more information than previously thought 3Insects' fear limits boost from climate change, Dartmouth study shows 2
... BETHESDA, MD, USA, DECEMBER 1, 2011 The collaboration ... a more extensive and advanced facility for archiving, sharing, ... American Society for Cell Biology (ASCB) and the National ... University of California, San Diego (UCSD), have joined forces ...
... COLUMBIA, Mo. When a muscle is damaged, ... to "wake up" and contribute to repairing the muscle. ... satellite cells could help with the repair, and are ... tissue. This knowledge could ultimately help doctors more effectively ...
... A Michigan State University researcher is using a ... a portable wastewater treatment system that could improve ... is being spearheaded by Wei Liao, an MSU ... will generate energy and produce drinking water, thus ...
Cached Biology News:2 top biological imaging centers offer powerful free online tool to researchers and public 2Adult stem cells use special pathways to repair damaged muscle, MU researchers find 2Wastewater system generates energy, produces drinking water 2