The operator of momentum (layman question)

In summary, the operator of momentum is a mathematical representation of an object's momentum in quantum mechanics, calculated by taking the derivative of its position with respect to time. It is a fundamental operator that helps us understand the behavior of particles at the quantum level and is closely related to Heisenberg's uncertainty principle. However, it is not applicable to macroscopic objects as they follow classical mechanics.
  • #1
paulzhen
33
0
I found two "forms" of it:

p=[itex]\frac{\hbar}{i}[/itex][itex]\frac{d}{dx}[/itex]

p=-i[itex]\hbar[/itex][itex]\frac{d}{dx}[/itex]

how could they be the same??
 
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  • #2
Multiply the right hand side of the first equation with i/i.

Zz.
 
  • #3
oh...yes thanks a lot
 

Related to The operator of momentum (layman question)

What is the operator of momentum?

The operator of momentum, also known as the momentum operator, is a mathematical representation of the physical quantity momentum in quantum mechanics. It is represented by the symbol p and is defined as the product of an object's mass and velocity.

How is the operator of momentum calculated?

The operator of momentum is calculated by taking the derivative of an object's position with respect to time. In mathematical terms, it is represented as p = m * v, where p is momentum, m is mass, and v is velocity.

What is the importance of the operator of momentum?

The operator of momentum is important in quantum mechanics because it is a fundamental operator that describes the dynamics of particles at the quantum level. It helps us understand the behavior of particles and their interactions in the quantum world.

How does the operator of momentum relate to Heisenberg's uncertainty principle?

The operator of momentum is closely related to Heisenberg's uncertainty principle, which states that it is impossible to simultaneously know the exact position and momentum of a particle. This is because the act of measuring the momentum of a particle will inevitably change its position, and vice versa.

Can the operator of momentum be applied to macroscopic objects?

No, the operator of momentum is only applicable to microscopic particles in the quantum world. This is because at the macroscopic level, objects behave according to classical mechanics rather than quantum mechanics.

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