On the time operator in quantum mechanics and the heisenberg uncertainty relation for energy and time

1974 ◽  
Vol 6 (3) ◽  
pp. 361-386 ◽  
Author(s):  
Jerzy Kijowski
Keyword(s):  
Quantum Mechanics ◽  
Uncertainty Relation ◽  
Time Operator ◽  
Heisenberg Uncertainty Relation ◽  
Heisenberg Uncertainty

UNCERTAINTY PRINCIPLE, SQUEEZING, AND QUANTUM GROUPS

1992 ◽  
Vol 07 (40) ◽  
pp. 3759-3764 ◽  
Author(s):  
A.K. RAJAGOPAL ◽  
VIRENDRA GUPTA
Keyword(s):  
Quantum Mechanics ◽  
Coherent State ◽  
Quantum Groups ◽  
Uncertainty Principle ◽  
Unitary Transformation ◽  
Uncertainty Relation ◽  
Heisenberg Uncertainty Relation ◽  
Heisenberg Uncertainty ◽  
Complete Form

It is shown that the complete form of the Heisenberg Uncertainty Relation (HUR) must be employed in introducing the concepts of squeezing and coherent state in q-quantum mechanics. An important feature of this form of the HUR is that it is invariant under unitary transformation of the operators appearing in it and consequences of this are pointed out.

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.

Sign in / Sign up

Export Citation Format

Share Document