Coherent states and Heisenberg uncertainty relation in a third-quantized minisuperspace

1991 ◽  
Vol 261 (3) ◽  
pp. 257-259 ◽  
Author(s):  
Hans-Jürgen Pohle
Keyword(s):  
Coherent States ◽  
Uncertainty Relation ◽  
Heisenberg Uncertainty Relation ◽  
Heisenberg Uncertainty

scholarly journals ON THE STABILITY OF COHERENT STATES FOR PAIS–UHLENBECK OSCILLATOR

2013 ◽  
Vol 28 (12) ◽  
pp. 1350038 ◽  
Author(s):  
SOUVIK PRAMANIK ◽  
SUBIR GHOSH
Keyword(s):  
Coherent States ◽  
Uncertainty Relation ◽  
Energy Levels ◽  
Negative Energy ◽  
Positive Energy ◽  
Expectation Values ◽  
Higher Derivative ◽  
Identical Manner ◽  
Heisenberg Uncertainty ◽  
The Stability

We have constructed coherent states for the higher derivative Pais–Uhlenbeck Oscillator (PUO). In the process, we have suggested a novel way to construct coherent states for the oscillator having only negative energy levels. These coherent states have negative energies in general but their coordinate and momentum expectation values and dispersions behave in an identical manner as that of normal (positive energy) oscillator. The coherent states for the PUO have constant dispersions and a modified Heisenberg Uncertainty Relation. Moreover, under reasonable assumptions on parameters these coherent states can have positive energies.

scholarly journals Some properties of the world crystal in fractal spacetime theory.

2000 ◽  
Vol 53 (2) ◽  
pp. 231 ◽  
Author(s):  
M. Agop ◽  
I. Oprea ◽  
C. Sandu ◽  
R. Vlad ◽  
C. Gh. Buzea ◽  
...  
Keyword(s):  
Uncertainty Relation ◽  
Background Field ◽  
Heisenberg Uncertainty Relation ◽  
Wave Particle Duality ◽  
The World ◽  
Heisenberg Uncertainty ◽  
Spacetime Theory

We prove that the wave-particle duality, inertia and the Heisenberg uncertainty relation are properties of a fractal spacetime, self-structured by a gravitomagnetic background field, in the world crystal.

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