Uncertainty principle Totally Explained

Everything about Heisenberg Uncertainty Principle totally explained

In quantum physics, the Heisenberg uncertainty principle is the statement that locating a particle in a small region of space makes the momentum of the particle uncertain; and conversely, that measuring the momentum of a particle precisely makes the position uncertain.
   In quantum mechanics, the position and momentum of particles don't have precise values, but have a probability distribution. There are no states in which a particle has both a definite position and a definite momentum. The narrower the probability distribution is in position, the wider it's in momentum.
   Physically, the uncertainty principle requires that when the position of an atom is measured with a photon, the reflected photon will change the momentum of the atom by an uncertain amount inversely proportional to the accuracy of the position measurement. The amount of uncertainty can never be reduced below the limit set by the principle, regardless of the experimental setup.
   A mathematical statement of the principle is that every quantum state has the property that the root-mean-square (RMS) deviation of the position from its mean (the standard deviation of the X-distribution): ť

Delta X = sqrt B

stands for the standard deviation of the operator

hat B

and

langle hat B 
angle

is the expectation value of

hat B

in that state. Although, the second factor in the left-hand side has dimension of time, it's different from the time parameter that enters Schrödinger equation. It is a lifetime of the state

|psi
angle

with respect to the observable

B

. In other words, this is the time after which the expectation value

langlehat B
angle

changes appreciably.

Popular culture

The uncertainty principle appears in popular culture in many places, although it's sometimes stated imprecisely, or as a stand-in for the observer effect:

In the science fiction television series, the fictional transporters used to "beam" characters to different locations overcame the sampling limitations due to the Uncertainty Principle with the use of "Heisenberg compensators." When asked, "How do the Heisenberg compensators work?" by Time magazine on 28 November 1994, Michael Okuda, technical advisor on Star Trek, famously responded, "They work just fine, thank you."

In The Luck of the Fryrish episode of the animated sci-fi sitcom Futurama the Professor loses at the horse track when his horse is narrowly beat out in a "quantum finish". He complains, "No fair! You changed the outcome by measuring it!", conflating the Uncertainty principle with the observer effect.

In the well known joke: "Heisenberg is pulled over by a policeman whilst driving down a motorway, the policeman gets out of his car, walks towards Heisenberg's window and motions with his hand for Heisenberg to wind the window down, which he does. The policeman then says ‘Do you know what speed you were driving at sir?’, to which Heisenberg responds ‘No, but I knew exactly where I was.’"

In the 1997 film, chaostician Ian Malcolm claims that the effort "to observe and document, not interact" with the dinosaurs is a scientific impossibility because of "the Heisenberg Uncertainty Principle, whatever you study, you also change." This conflates the uncertainty principle with the observer effect.

The Michael Frayn play Copenhagen (1998) highlights some of the processes that went into the formation of the Uncertainty Principle. The play dramatizes the meetings between Werner Heisenberg and Niels Bohr. It highlights, as well, the discussion of the work that both did on nuclear bombs - Heisenberg for Germany and Bohr for the United States and allied forces.

In an episode of the television show Aqua Teen Hunger Force, Meatwad (who was temporarily made into a genius) tries to incorrectly explain Heisenberg's Uncertainty Principle to Frylock to explain his new found intelligence. "Heisenberg's Uncertainty Principle tells us that at a specific curvature of space, knowledge can be transferred into energy, or — and this is key now — matter."

In an episode of Stargate SG-1, Samantha Carter explains, using the Uncertainty Principle, that the future isn't predetermined, that one can only calculate possibilities.

On the television show "" in the episode Living Doll, Gil Grissom says that he lives "by the uncertainty principle. The mere act of observing a phenomenon changes its nature" again conflating it with the observer effect.

In Episode 16 (No Need for Hiding) of the English-dubbed version of the Japanese anime Tenchi Universe, Washu gives a rapid explanation of the Uncertainty Principle while singing karaoke.

The French electronic music group Télépopmusik recorded a song called "dp.dq>=h/4pi" for their album Genetic World (2001).

In the webcomic Questionable Content, Pintsize tries to explain his lateness using relativity and the Heisenberg Uncertainty Principle.Further Information

Get more info on 'Heisenberg Uncertainty Principle'.

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