In the world of quantum mechanics, there is an intrinsic uncertainty in studying the position and the momentum of a particle at the same time. This means studying physics at small distances, where an accurate determination of the position is needed, requires high momentum and hence high energy.
principle of quantum mechanics, discovered by Heisenberg, that there are features of the universe, like the position and velocity of a particle, that cannot be known with complete precision. Such uncertain aspects of the microscopic world become ever more severe, as the distance and time scales on which they are considered become ever smaller. Particles and fields undulate and jump between all possible values consistent with the quantum uncertainty. This implies that the microscopic realm is a rolling frenzy, awash in a violent sea of quantum fluctuations.
Heisenberg's uncertainty principle states that the uncertainty in the measured value of momentum multiplied by the uncertainty in the measured value of position is of the order of Planck's constant ( h/2pi). The uncertainty principle is based on the idea that a measurement of a system must disturb it in some way resulting in a lack of precision of measurement. The more precise you try to measure the momentum the less precise your measurement of position becomes and vice versa. The principle is of fundamental importance in atomic/nuclear physics. A consequence of the principle is that you can never predict the exact behaviour of a system, unlike newtonian mechanics.
it is impossibile to measuring exactly both the position and the momentum of an object at the same time.
the statement that, due to the laws of quantum mechanics, it is impossible to simultaneously exactly measure a particle's position and momentum or to exactly measure a particle's energy for a finite amount of time.
Sometimes called principle of Indeterminacy. Proposed by Heisenberg. Along with Bohr's principle of Complementarity, contrasted with the assumptions of classical physics, state that the position and velocity of atomic physical entities cannot be established simultaneously.
Heisenberg's uncertainty principle; Heisenberg principle; indeterminancy; indeterminancy principle. The exact momentum and exact location of a particle cannot be specified. Werner Heisenberg stated that the product of uncertainties in location and momentum measurements can never be smaller than , where is Planck's constant.
A feature of the quantum theory which says that for any object certain pairs of properties, such as position and momentum, are linked so that they cannot both be precisely determined at the same time.
(quantum theory) the theory that it is impossible to measure both energy and time (or position and momentum) completely accurately at the same time
The principle, formulated by Heisenberg, that one can never be exactly sure of both the position and the velocity of a particle; the more accurately one knows the one, the less accurately one can know the other.
The principle of Quantum Mechanics—as well as Quantum Field Theory and String Theory—which says that an observer can never know both the position and velocity of a particle with perfect precision. Specifically, the more certain an observer is of the position, the less certain that observer must be of the velocity, and vice-versa.
One essential difference between quantum mechanics (QM) and classical physics is that systems simply do not have values for all observable quantities simultaneously. Observation can affect the system, and a system prepared or observed to be in a certain state w.r.t. one quantity may not be the same system as one prepared or observed to be in a certain state w.r.t. another quantity. Certain complementary pairs of quantities exist: time & energy, position & momentum, angle & angular momentum, etc. (the product of whose dimensionality is always kg m²/s) that have a lower bound to the product of the standard deviations of measurements on such a pair, of the order of ~ 1.0 10-34 Js, below which there is no information held in the system. From our macroscopic point of view, this appears as uncertainty.
there is a limit to how accurately simultaneous measurements of position and momentum (or time and energy) can be made (see equation 28.6)
One of the basic principles of quantum mechanics developed by W. Heisenberg. It formulates that one cannot precisely specify the values of two conjugate terms such as position-momentum or time-energy.
A principle derived by Werner Heisenberg in 1927 that tells us that we can never know both the position and the momentum of a particle at any given time.
The quantum principle, first formulated by Heisenberg, that states that it is not possible to know exactly both the position and the momentum of an object at the same time. Δ ≥. It can be written as Δ ≥ where Δ means the uncertainty in energy and Δ the uncertainty in lifetime of a state (see → virtual particle).
The quantum principle, first formulated by Heisenberg, that states that is is not possible to know exactly both the position x and the momentum p of an object at the same time. The same is true with energy and time (see virtual particle).
Heisenberg uncertainty principle. It is fundamentally impossible to make simultaneous measurements of a particle's position and velocity with infinite accuracy.
The principle first stated by Wemer Heisenberg that the uncertainty in the position of a particle multiplied by the uncertainty in the velocity of that particle must be greater than a specified number.
In quantum physics, the Heisenberg uncertainty principle is a mathematical limit on the accuracy with which it is possible to measure everything there is to know about a physical system. In its simplest form, it applies to the position and momentum of a single particle, and implies that if we continue increasing the accuracy with which one of these is measured, there will come a point at which the other must be measured with less accuracy. Mathematically, if Δx and Δp are the uncertainties in the measurements of the position and momentum, then the product ΔxΔp is at least on the order of Planck's constant.
