Recent questions in de Broglie Equation

Quantum MechanicsAnswered question

ilovegarie3ay 2022-12-24

The mass of an electron is $9.1\times {10}^{-31}$ kg. If its K.E. is $3.0\times {10}^{-25}J$, calculate its wavelength.

Quantum MechanicsAnswered question

Jadon Camacho 2022-11-08

Find the de Broglie wavelength of a football of mass 0.4 kg traveling 23 m/s?

Quantum MechanicsAnswered question

anraszbx 2022-11-05

Schrodinger's equation (explanation to non physicist)

For a report I'm writing on Quantum Computing, I'm interested in understanding a little about this famous equation. I'm an undergraduate student of math, so I can bear some formalism in the explanation. However I'm not so stupid to think I can understand this landmark without some years of physics. I'll just be happy to be able to read the equation and recognize it in its various forms.

To be more precise, here are my questions.

Hyperphysics tell me that Shrodinger's equation "is a wave equation in terms of the wavefunction".

1. Where is the wave equation in the most general form of the equation?

$\mathrm{i}\hslash \frac{\mathrm{\partial}}{\mathrm{\partial}t}\mathrm{\Psi}=H\mathrm{\Psi}$

I thought wave equation should be of the type

$\frac{{\mathrm{\partial}}^{2}}{{\mathrm{\partial}}^{2}t}u={c}^{2}{\mathrm{\nabla}}^{2}u$

It's the difference in order of of derivation that is bugging me.

2. Can somebody show me the passages in a simple (or better general) case?

3.I think this questions is the most difficult to answer to a newbie. What is the Hamiltonian of a state? How much, generally speaking, does the Hamiltonian have to do do with the energy of a state?

4.What assumptions did Schrödinger make about the wave function of a state, to be able to write the equation? Or what are the important things I should note in a wave function that are basilar to proof the equation? With both questions I mean, what are the passages between de Broglie (yes there are these waves) and Schrödinger (the wave function is characterized by)?

5.It's often said "The equation helps finds the form of the wave function" as often as "The equation helps us predict the evolution of a wave function" Which of the two? When one, when the other?

For a report I'm writing on Quantum Computing, I'm interested in understanding a little about this famous equation. I'm an undergraduate student of math, so I can bear some formalism in the explanation. However I'm not so stupid to think I can understand this landmark without some years of physics. I'll just be happy to be able to read the equation and recognize it in its various forms.

To be more precise, here are my questions.

Hyperphysics tell me that Shrodinger's equation "is a wave equation in terms of the wavefunction".

1. Where is the wave equation in the most general form of the equation?

$\mathrm{i}\hslash \frac{\mathrm{\partial}}{\mathrm{\partial}t}\mathrm{\Psi}=H\mathrm{\Psi}$

I thought wave equation should be of the type

$\frac{{\mathrm{\partial}}^{2}}{{\mathrm{\partial}}^{2}t}u={c}^{2}{\mathrm{\nabla}}^{2}u$

It's the difference in order of of derivation that is bugging me.

2. Can somebody show me the passages in a simple (or better general) case?

3.I think this questions is the most difficult to answer to a newbie. What is the Hamiltonian of a state? How much, generally speaking, does the Hamiltonian have to do do with the energy of a state?

4.What assumptions did Schrödinger make about the wave function of a state, to be able to write the equation? Or what are the important things I should note in a wave function that are basilar to proof the equation? With both questions I mean, what are the passages between de Broglie (yes there are these waves) and Schrödinger (the wave function is characterized by)?

5.It's often said "The equation helps finds the form of the wave function" as often as "The equation helps us predict the evolution of a wave function" Which of the two? When one, when the other?

Quantum MechanicsAnswered question

Humberto Campbell 2022-11-04

To determine

To Describe: A method to measure energy of a photon.

To Describe: A method to measure energy of a photon.

Quantum MechanicsAnswered question

Davirnoilc 2022-11-03

10. In de Broglie's equation, he shows the relationship between the wavelength of a light wave and its momentum. Which of the following is true about this relationship?

1. wavelength is directly proportional to the square of momentum

2. wavelength is inversely proportional to momentum

3. wavelength is directly proportional to momentum

4. wavelength is inversely proportional to the square of momentum

1. wavelength is directly proportional to the square of momentum

2. wavelength is inversely proportional to momentum

3. wavelength is directly proportional to momentum

4. wavelength is inversely proportional to the square of momentum

Quantum MechanicsAnswered question

shiya43 2022-10-23

Davisson and Germer scattered electrons from a crystal of nickel. The scattered electrons formed a strong diffraction pattern. What important conclusion was drawn from this experiment?

Quantum MechanicsAnswered question

sorrowandsongto 2022-10-22

What is the wavelength (in meters) of a 0.5 kg particle moving with a velocity of $6.63\times {10}^{-34}m/s$?

HINT: Use de Broglie equation with the plank constant in units of $J\cdot s(h=6.63\times {10}^{-34}Js)$

HINT: Use de Broglie equation with the plank constant in units of $J\cdot s(h=6.63\times {10}^{-34}Js)$

Quantum MechanicsAnswered question

Valery Cook 2022-10-21

In an electron microscope, through approximately how many volts of potential difference must electrons be accelerated to achieve a de Broglie wavelength of $1.0\times {10}^{-10}m$?

a) $1.5\times {10}^{-2}V$

b) $1.5\times {10}^{-1}V$

c) $1.5V$

d) $15V$

e) $150V$

a) $1.5\times {10}^{-2}V$

b) $1.5\times {10}^{-1}V$

c) $1.5V$

d) $15V$

e) $150V$

Quantum MechanicsAnswered question

Pellagra3d 2022-10-20

In de Broglie's equation w=wavelength, $w=\frac{h}{mv}$. How do I rearrange to solve for mass?

Quantum MechanicsAnswered question

Tyson Atkins 2022-10-19

Please explain in detail with steps how to set up and solve for this equation.

Find the de Broglie wavelength for a 1500kg car when its speed is 80km/h. How significant are the wave properties of this car likely to be?

Find the de Broglie wavelength for a 1500kg car when its speed is 80km/h. How significant are the wave properties of this car likely to be?

Quantum MechanicsAnswered question

Krish Logan 2022-10-14

To determine

To Calculate: Momentum of photon by using equation $p=mv$

To Calculate: Momentum of photon by using equation $p=mv$

Quantum MechanicsAnswered question

Riya Andrews 2022-10-09

Calculate the de Broglie wavelength of electrons accelerated through 3868 V. Round off the answer to 2 decimal places with scientific representation.

Quantum MechanicsAnswered question

ecoanuncios7x 2022-10-02

Factor 2 in Heisenberg Uncertainty Principle: Which formula is correct?

Some websites and textbooks refer to

$\mathrm{\Delta}x\mathrm{\Delta}p\ge \frac{\hslash}{2}$

as the correct formula for the uncertainty principle whereas other sources use the formula

$\mathrm{\Delta}x\mathrm{\Delta}p\ge \hslash .$

Question: Which one is correct and why?

The latter is used in the textbook "Physics II for Dummies" (German edition) for several examples and the author also derives that formula so I assume that this is not a typing error.

This is the mentioned derivation:

$\mathrm{sin}\theta =\frac{\lambda}{\mathrm{\Delta}y}$

assuming $\theta $ is small:

$\mathrm{tan}\theta =\frac{\lambda}{\mathrm{\Delta}y}$

de Broglie equation:

$\lambda =\frac{h}{{p}_{x}}$

$\Rightarrow \mathrm{tan}\theta \approx \frac{h}{{p}_{x}\cdot \mathrm{\Delta}y}$

but also:

$\mathrm{tan}\theta =\frac{\mathrm{\Delta}{p}_{y}}{{p}_{x}}$

equalize $\mathrm{tan}\theta $:

$\frac{h}{{p}_{x}\cdot \mathrm{\Delta}y}\approx \frac{\mathrm{\Delta}{p}_{y}}{{p}_{x}}$

$\Rightarrow \frac{h}{\mathrm{\Delta}y}\approx \mathrm{\Delta}{p}_{y}\Rightarrow \mathrm{\Delta}{p}_{y}\mathrm{\Delta}y\approx h$

$\Rightarrow \mathrm{\Delta}{p}_{y}\mathrm{\Delta}y\ge \frac{h}{2\pi}$

$\Rightarrow \mathrm{\Delta}p\mathrm{\Delta}x\ge \frac{h}{2\pi}$

Some websites and textbooks refer to

$\mathrm{\Delta}x\mathrm{\Delta}p\ge \frac{\hslash}{2}$

as the correct formula for the uncertainty principle whereas other sources use the formula

$\mathrm{\Delta}x\mathrm{\Delta}p\ge \hslash .$

Question: Which one is correct and why?

The latter is used in the textbook "Physics II for Dummies" (German edition) for several examples and the author also derives that formula so I assume that this is not a typing error.

This is the mentioned derivation:

$\mathrm{sin}\theta =\frac{\lambda}{\mathrm{\Delta}y}$

assuming $\theta $ is small:

$\mathrm{tan}\theta =\frac{\lambda}{\mathrm{\Delta}y}$

de Broglie equation:

$\lambda =\frac{h}{{p}_{x}}$

$\Rightarrow \mathrm{tan}\theta \approx \frac{h}{{p}_{x}\cdot \mathrm{\Delta}y}$

but also:

$\mathrm{tan}\theta =\frac{\mathrm{\Delta}{p}_{y}}{{p}_{x}}$

equalize $\mathrm{tan}\theta $:

$\frac{h}{{p}_{x}\cdot \mathrm{\Delta}y}\approx \frac{\mathrm{\Delta}{p}_{y}}{{p}_{x}}$

$\Rightarrow \frac{h}{\mathrm{\Delta}y}\approx \mathrm{\Delta}{p}_{y}\Rightarrow \mathrm{\Delta}{p}_{y}\mathrm{\Delta}y\approx h$

$\Rightarrow \mathrm{\Delta}{p}_{y}\mathrm{\Delta}y\ge \frac{h}{2\pi}$

$\Rightarrow \mathrm{\Delta}p\mathrm{\Delta}x\ge \frac{h}{2\pi}$

Quantum MechanicsAnswered question

spatularificw2 2022-10-02

To determine

A detailed explanation behind larger atomic size with larger Planck’s constant, h.

A detailed explanation behind larger atomic size with larger Planck’s constant, h.

Quantum MechanicsAnswered question

Aryan Lowery 2022-10-02

Consider a proton with a 6.6 fm wavelength. What is the velocity of the proton in meters per second? Assume the proton is nonrelativistic. (1 femtometer $={10}^{-15}$ m)

Quantum MechanicsAnswered question

Mainuillato2p 2022-09-26

Using dimensional analysis, predict the units of wavelength in the de Broglie hypothesis equation: $\lambda =\frac{h}{mv}$

joule-seconds ($J\cdot s$)

kilogram (kg)

meters (m)

seconds (s)

meters per second (m/s)

per second (/s)

per meter (/m)

per kilogram (/kg)

joule-seconds ($J\cdot s$)

kilogram (kg)

meters (m)

seconds (s)

meters per second (m/s)

per second (/s)

per meter (/m)

per kilogram (/kg)

Quantum MechanicsAnswered question

shaunistayb1 2022-09-25

At what velocity will an electron have a wavelength of 1.00 m?

Quantum MechanicsAnswered question

ct1a2n4k 2022-09-25

If matter has a wave nature, why is this wave - like characteristic not observable in our daily experiences?

Quantum MechanicsAnswered question

Stacy Barr 2022-09-24

In the Davisson-Germer experiment using a nickel crystal, a second-order beam is observed at an angle of 55 degrees. For what value of acclerating voltage does this occur?

Quantum MechanicsAnswered question

mikioneliir 2022-09-23

Why wave nature of particles is not observed in daily life.

Even if you have not heard about de Broglie equation physics before, the list of the questions dealing with this subject will help you to learn more as you browse through the answers and combine calculations, analysis, and the various equations. The general concept relates to the wave properties of matter with the main focus on the electron. According to de Broglie, the particles can exhibit the properties of the waves as you work with the mass of the particle. Take one de Broglie equation example and see how the particles cooperate with each other and describe the outcome received.