Question

How is a particle's zero-point energy related to the uncertainty principle?

How is a particle's zero-point energy related to the uncertainty principle?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Zero point energy of the particle is the lowest possible energy a particle has in quantum mechanics. Uncertainity Principle explains that the zero point energy of a particle is actually non zero, This is because in case if we assume a particle confined in some finite volume it to be zero then the uncertainity in momentum will be zero and By uncertaintiy principle the uncertainity in its position will be infinite. But we know that the particle is enclosed in a finite volume, so the uncertainity in its position can not be infinite at the same time, and hence the uncertainity in momentum will not be zero and it should have a momentum and hence it will have some energy. So uncertainity principle relates to zero point energy by proving that it does not have a zero value.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The Heisenberg Uncertainty Principle can be used to calculate the uncertainty in the energy of an...
The Heisenberg Uncertainty Principle can be used to calculate the uncertainty in the energy of an emitted photon from a state with lifetime ?. Calculate the energy uncertainty for a state with a lifetime of 5.0 picoseconds, expressing your answer in eV to 2 sf. ?E?t?h4?
3. (10 pts) Heisenberg Uncertainty Principle The uncertainty principle places a limit on specifying the location...
3. (10 pts) Heisenberg Uncertainty Principle The uncertainty principle places a limit on specifying the location and momentum of a particle simultaneously. Δ?Δ? ≥ ℏ/2 This is a consequence of the wave nature of particles, which we can see by examining the uncertainty in the single-slit diffraction of light. (a) In single-slit diffraction, the width of the slit ? represents the uncertainty in x position of the beam, ∆?: ∆? = ? We can imagine that we can try to...
Heisenberg's uncertainty principle tells us that _____. Heisenberg's uncertainty principle tells us that _____. the more...
Heisenberg's uncertainty principle tells us that _____. Heisenberg's uncertainty principle tells us that _____. the more accurately we know the position of a particle, the less accurately we can know the velocity of that particle the de Broglie wavelength of an electron is related to its velocity an electron is actually something intermediate between a particle and a wave complementary properties are those properties that can be measured simultaneously
6. briefly describe your understanding of uncertainty principle. you need to describe both aspects of uncertainty...
6. briefly describe your understanding of uncertainty principle. you need to describe both aspects of uncertainty princple (energy - time and momentum position) How does quantom mechanical mode of hydrogen atom in corporate this model to describe degenerate energy levels
Heisenberg Uncertainty Principle: Compare the relative uncertainty in position and momentum for a plane wave and...
Heisenberg Uncertainty Principle: Compare the relative uncertainty in position and momentum for a plane wave and a wave packet. How do the uncertainties in position and momentum compare? Why? Section 5.3 might be helpful. Relative to a plane wave, a wave packet has -______(fill in the blank)_______ momentum and -______(fill in the blank)_______ energy…
Find the uncertainty of a basic hydrogen atom in binding energy and its radius using the...
Find the uncertainty of a basic hydrogen atom in binding energy and its radius using the Heisenberg uncertainty principle.
why zero point energy of particle on a ring is zero
why zero point energy of particle on a ring is zero
How does a Fourier Transform on a wave and it's Fourier Amplitudes imply the Uncertainty principle...
How does a Fourier Transform on a wave and it's Fourier Amplitudes imply the Uncertainty principle DxDp >/= h/2 (DeltaX DeltaP greater than or equal to h/2)
What is the significance of the uncertainty principle for a diffraction limited imaging system?
What is the significance of the uncertainty principle for a diffraction limited imaging system?
To gain some appreciation of the biological importance--or lack thereof--of the uncertainty principle, compare the uncertainty...
To gain some appreciation of the biological importance--or lack thereof--of the uncertainty principle, compare the uncertainty in position of an electron and a mobile E. coli cell (1 pg). Both have speeds known to within 1.0 μm/s. The uncertainty in the position of the electron is 58 m (far larger than the size of an atom, which means it is impossible to speak of the "trajectory" of the electron). What is the uncertainty in the position of the E. coli...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT