b. Prove that the conserved charge in energy-momentum tensor is given by - 100 p. T
Q: Please answer this within 30 mins ! I will upvote !
A: The charge of the given particle, q=+1mC The velocity of the charged particle, v=1×107 m/s The…
Q: a water droplet on a surface has the following surface energy (0.029 n/m). What is the contact angle…
A: The angle of contact is, cosθ=σeσ the surface tension of water is 0.073 N/m. therefore,
Q: c): Write Dirac's equation for a free particle. Find the form of the probability density and the…
A: 1st Schrodinger give the equation of particle, and Dirac make it simpler form for free particle. As…
Q: An electron has a total energy of 6.2 x 10° eV. What is its speed? Express your answer with the…
A:
Q: The lifetime of the 4P1/2 state of potassium is 27.3 ns.What are the Einstein A and B coefficients…
A: Given: The lifetime of the P124 state of potassium is 27.3 ns. Introduction: Laser action arises…
Q: In quantum mechanics, the angular momentum operator L. is given by L = L, + iL, = e" ticot(0); Show…
A:
Q: Place them in order from weakest attractive force between the proton(s) and electron to strongest…
A: the force between two charges is directly proportional to the product of the charge and inversely…
Q: Q3. Which of the following functions is well-behaved where -00 0? A. e-ax² B. e-ax CX D. X² F 4X-3
A:
Q: 8. A particle of mass m and charge e is moving freely in an electromagnetic field with a velocity v.…
A:
Q: 5. Find the electrostatic potential in the slit upper half-plane with the boundary values as…
A:
Q: 1. Derive the density of states as a function of energy for a purely two-dimensional electron…
A:
Q: Plug speed v from equation v = erB/me into equation me*delta v^2 / 2+e and solve for the desired…
A:
Q: Electrons are ejected from a metal surface with the speeds ranging up to v=4.6x10° m/s when light…
A:
Q: With what kinetic energy, in eV , must a proton be launched from the negative plate if it is just…
A: Separation, d = 4.7 mnVoltage, ∆V = 78 VCharge on proton, Q = 1.6×10-19 C = 1eEnergy in eV, KE = ?
Q: Verify that the n = 3n = 1 transition for the particle in a box of Sec. 5.8 is forbidden whereas the…
A: To verify: In the particle in the box, the following transitions are n =3 → n = 1 is forbiddenn =3 →…
Q: Q1) Design an observer for the oscillatory system *(t) = v(t) v(t) = -w3 x(t) Consider the states x=…
A: A oscillation system is an object that moves back and forth and always returns to its original state…
Q: QUESTION 8 An electron is traveling in a circle of radius 1.30 Å. What is the energy eigenvalue of…
A: Given R=1.30Å We know mass of electron is M=9.109x10-31kg n=m=1
Q: To excite an electron in a one-dimensional box from its first excited state to its second excited…
A:
Q: light above the Earth's atmosphere has an intensity of 1.39 kW/m2. If this is reflected straight…
A:
Q: A typical electron in a piece of metallic sodium has energy -Eg compared to a free electron, where…
A:
Q: Q1. Assume a finite thin linear antenna with length l is positioned along the z-axis symmetrically.…
A: Step 1: Step 2: Step 3: Step 4:
Q: Show that the following transformation is canonical: Q = √2qe¹ cos p P = √√2qe-¹ sin p
A: Note: As per company policy, only the first question is solved in this session. To get a solution…
Q: Which function is considered independent of time to achieve the steady state form? a) Ψ b) dΨ/dt…
A: D
Q: Q1 V(x) a: The figure to the right shows a potential well where V(X)=0 for 0<x<a and V(X)=V₁…
A:
Q: Consider a particle of mass m moving in two dimensions (neglect gravity). The particle feels a…
A:
Q: Which of the following best describes the limitations of the Lennard-Jones potential? Select one: a.…
A: Intramolecular Forces: Forces that operate within the molecule. For example, in a CO2 molecule, the…
Step by step
Solved in 3 steps
- Quantum Mechanics, physical chemistry. Screenschot of question attached. For this question, assume the atoms have average atomic masses. Actual molecules will have different isotopes so variation in energy levels will result from different isotopes.3. A particle of mass m moves in one dimension in a potential given by v(s)-c). where 8() is the Dirac delta function. The particle is bound. Find the value , such that the probability of finding the particle with l<, is exactly 1/2.Consider an oil droplet of mass mmm and charge q. We want to determine the charge on the droplet in a Millikan-type experiment. We will do this in several steps. Assume, for simplicity, that the charge is positive and that the electric field between the plates points upward. a. An electric field is established by applying a potential difference to the plates. It is found that a field of strength E0 will cause the droplet to be suspended motionless. Write an expression for the droplet's charge q. Let g be the acceleration due to gravity. Express answer in terms of the suspending field E0 and the droplet's weight mg. b. Determine the mass of a microscopic droplet. Consider a mass m falling through a viscous medium in which there is a retarding or drag force. For very small particles, the retarding force is given by Fdrag =−bv, where b is a constant and v is the droplet's speed. The negative sign tells us that the drag force vector points upward when the droplet is falling. A falling…
- a. Calculate the minimum uncertainty in the position of an electron in meters, if its velocity has been measured to within 2.34e-06 m/s. For the mass of an electron use 9.10938356 × 10-31 kg and for huse 1.0545718 x 10-34 Js. m b. 44 = 141² = ² represents a: O the pitchfork operator O probability density O numerov program O wave function c. The sum of all the little bits of probability over possible measurements that can be made (i.e. over all space): S4²4 = 1 is called: O the quantum condition O the normalization condition O the human condition O the eignen conditionT56. The Aharonov-Bohm effect is strong evidence that the vector potential A and scalar potential V are fundamental rather than B and E. In other words, the properties of a particle can be effected by changes in A or V, even if B and E remain constant and zero. Give an exact example where A changes but Band jare unaffected. You can be as cute or as boring as you like with this one. ☺
- 5. Identify which of the following functions are eigen functions of the operator d/dx: a. eikor b. cos kx c. k d. kx6. In Dirac notation, after the equation Bø) = b|p)is solved, we often write the solutions as {|Øn)} and {bn}. The name given to {b,} is it is the spectrum of the operator B . Essentially problem 5 and problem 6 are describing identical situations. What is the relationship between pn (x) and |Øn)? To answer this, give a mathematical answer and a physical interpretation of what it means. Hint: If you do not know how to answer this off the top of your head as being obvious, review my notes on Dirac notation and how vectors are used in quantum mechanics.Q 3: What is the value of the commutator [X, Px]?
- E Suppose an electron is in the ground state of hydrogen. (a) Whatis the highest-energy photon this system can absorb without dissociating the electron from the proton? Explain. (b) What is thelowest-energy photon this system can absorb? ExplainMultiple-Concept Example 6 explores the approach taken in problems such as this one. Quasars are believed to be the nuclei of galaxies in the early stages of their formation. Suppose a quasar radiates electromagnetic energy at the rate of 1.5 × 104¹ W. At what rate (in kg/s) is the quasar losing mass as a result of this radiation? Number i A quasar at the center of a spiral galaxy UnitsTRQ8. Solve completely the following Quantum problem. Need full detailed answer, equations and if possible, theory/literature.