scholarly journals Derivation of the energy-time uncertainty relation

1994 ◽  
Vol 50 (2) ◽  
pp. 933-938 ◽  
Author(s):  
Donald H. Kobe ◽  
V. C. Aguilera-Navarro
Keyword(s):  
Uncertainty Relation ◽  
Time Uncertainty

Examining the Role of Free Carrier Concentration on the Phonon Lifetimes in GaN Using Raman Spectroscopy

2007 ◽  
Author(s):  
Thomas Beechem ◽  
Samuel Graham
Keyword(s):  
Raman Spectroscopy ◽  
Thermal Performance ◽  
Uncertainty Relation ◽  
Free Carrier ◽  
Optical Phonons ◽  
Time Uncertainty ◽  
Longitudinal Phonon ◽  
Optical Modes ◽  
Carrier Interaction

The lifetimes of polar optical phonons are known to affect the electrical and thermal performance of gallium nitride (GaN) based devices. Utilizing the energy-time uncertainty relation, this study investigates these lifetimes using Raman spectroscopy for a series of samples having free carrier concentrations ranging from 1.24e18 to 3e17 cm−3. By measuring across the typical operating temperatures of these devices, the mechanisms responsible for scattering of 5 separate optical modes are elucidated. It is found that phonon-carrier interaction directly determines the lifetime of the polar optical A1(LO) mode while indirectly influencing the modes into which this longitudinal phonon decays, namely, E1 and A1(TO). Thus understanding the entire phonon energy cascade is vital both for management of the so called “hot phonon” effect as well as modeling of carrier-phonon interactions.

scholarly journals Exact energy–time uncertainty relation for arrival time by absorption

2012 ◽  
Vol 45 (18) ◽  
pp. 185301 ◽  
Author(s):  
Jukka Kiukas ◽  
Andreas Ruschhaupt ◽  
Piet O Schmidt ◽  
Reinhard F Werner
Keyword(s):  
Arrival Time ◽  
Uncertainty Relation ◽  
Time Uncertainty ◽  
Exact Energy

scholarly journals On the Space–Time Uncertainty Relations of Liouville Strings and D-Branes

1997 ◽  
Vol 12 (27) ◽  
pp. 2029-2035 ◽  
Author(s):  
G. Amelino-Camelia ◽  
N. E. Mavromatos ◽  
John Ellis ◽  
D. V. Nanopoulos
Keyword(s):  
String Theory ◽  
Commutation Relation ◽  
Uncertainty Relation ◽  
Space Time ◽  
Uncertainty Relations ◽  
Time Uncertainty ◽  
Space And Time

Within a Liouville approach to noncritical string theory, we argue for a nontrivial commutation relation between space and time observables, leading to a nonzero space–time uncertainty relation δx δt>0, which vanishes in the limit of weak string coupling.

scholarly journals Quantum cryptography based on the energy-time uncertainty relation

JETP Letters ◽  
1996 ◽  
Vol 63 (11) ◽  
pp. 924-929 ◽  
Author(s):  
S. N. Molotkov ◽  
S. S. Nazin
Keyword(s):  
Quantum Cryptography ◽  
Uncertainty Relation ◽  
Time Uncertainty
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