Answered: How many physically relevant real…

How many physically relevant real parameters are required to specify the state vector of n spin 1/2 particles (discard the spatial degrees of freedom)?

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter8: Atomic Structure

Section: Chapter Questions

Problem 41P: Find die magnitude of the orbital magnetic dipole moment of the election in in the 3p state....

See similar textbooks

Related questions

Q: Prove that the density of states is the same size and the wavelength range of 2+ di toa to be g(1)da…

Q: Calculate the energy of the nth excited state of a particle in a 1D box with hard walls at x = 0 and…

Q: Consider a state of total angular momentum I = 2. What are the eigenvalues of the operators (a) L, 3…

Q: Assembly consists of 8 classical systems distributed over five power strips of one cell, and their…

Q: A proton is confined to a one dimensional infinite potential well 100 pm wide. What is its…

A: Ground state energy one dimensional infinite potential well E1=h28mpL2=6.626×10-34 J·s281.672×10-27…

Q: An electron is trapped in a finite potential well that is deep enough to allow the electron to exist…

Q: Find the possible angles between the z axis and the direction of the spin angular-momentum vector S.

A: The solution is given below

Q: In how many ways we can distribute N bosons in two states?

A: In how many ways can we distribute N bosons in two states . Solution :-

Q: Consider a system of N spin 2 particles with allowed spin values −2,−1,0,1,2 for each particle.…

A: A system of N spin-2 particles with allowed spin values ms=-2, -1, 0, 1, 2 for each particle.…

Q: A proton is confined to a one-dimensional infinite potential well 100 pm wide.What is its…

Q: What is the degeneracy of the n = 3 level? That is, how many different states are contained in the…

A: To find: What is the degeneracy of the n = 3 level? That is, how many different states are contained…

Q: For 5 distinct particles distributed over 2 degenerate energy levels such that g1=3, g2=2 the number…

A: Given that:Total number of particles, N=5 (distinct)g1=3, g2=2n1=3, n2=2

Q: Some spin 0 particle has a wavefunction given by: p(7) = sin² 0 |1 + V14 cos e cos 20 R(r) where the…

Q: What is the minimum possible energy for five (noninteracting) spin-1/2 particles of mass m in a…

A: The possible number of electrons with spin ½ in lowest energy is two , second lowest energy level…

Q: Would the radial wave functions be different for a potential V(r) other than the Coulomb potential?…

A: A radial wave function is a mathematical function, that describes an electron in an atom. It depends…

Q: Given a quantum particle trapped in aninfinite 1 D potential well of length, L the ratio of energy…

Q: A simple illustration of the variation method is provided by the hydrogen atom in the 1s state. Let…

Q: Suppose you have a "box" in which each particle may occupy any of 10 single-particle states. For…

A: Each particle may occupy any of 10 single-particle states, each with zero energy. Er1=0 for 1≤i≤10…

Q: Compute in the atomic system of units the normalized states - spin vectors of the particle with a…

A: In the atomic system of units, the spin of a particle is characterized by the quantum number s and…

Q: When the magnitude of the fermion spin is 3/2, the density of its states will be multiplied by:

A: Spin of fermion, s=3/2

Q: Suppose you have a "box" in which each particle may occupy any of 10 single-particle states. For…

A: Given that we have a "box" in which each particle may occupy any of 10 single-particle states. For…

Q: Consider a particle moves in 1-Dimension under the Hamiltonian H =. Let the (x) = Ae) the wave…

A: a wavefunction ϕx=Ae-x/a2 for normalisation ∫-∞+∞ ϕ∗x ϕx dx=1 x2a4=z or A2…

Q: Show that the number of states with the same quantum number n is 2n2

Q: What is P-type semiconducto ctor?

A: Ques: What is p-type semiconductor?

Q: If the electron represented by 8(t=0)= (6) and given by the spin state function 8(t=0) at time t=0…

Q: What must be the width of a one-dimensional infinite potential well if an electron trapped in it in…

A: Given: mass of electron, m = 9.1 x 10-31 kg state, n = 3 Energy of electron, E = 4.7 eV = 4.7 x…

Q: At what position is a particle in the second lowest energy state of a rigid box of length L most…

Q: Consider a neutron bound to nucleus at the origin as a simple harmonic oscillator with the natural…

A: Use formula of energy of particle in simple harmonic oscillator. For ground state : n = 0 and For…

Q: post Consider a system which is in the state, ¥(0,6) = Y;"(0,6)+V¿r°(0,6)+¥'(0,4), where Y," (0,4)…

Q: Calculate the energy of the nth excited state to first-order perturbation theory for a spinless…

Q: prove that: T Vs V =, 2n 2

A: To prove: VL = 12π∫0π Vs2 sin2ωt dt = VS2 We have the relation, VL = 12π∫0π Vs2 sin2ωt dt…

Q: Find the directions in space where the angular probability density for the l = 2, ml = 0 electron in…

A: In this question we have to find the directions in space where the angular probability density for…

Q: - : Derive a state space model for the system shown in Figure below when the input is f. and the…

A: Given:-

Q: Show that the hamiltonian for spin-orbit coupling Commutes with the quantum angular momentum…

A: The Hamiltonian for the spin-orbit coupling be defined as, H=λL.S=λLxSx+λLySy+λLzSz Here, λ is any…

Q: 4.12 e Hamiltonian for a spin I system is given by II=AS+B(S-S). Solve this problem exactly to find…

Q: What will happen if we put a spin-1 particle inside the 3D potential well? Find out the density of…

Q: Prove that the total degeneracy for an atomic hydrogen state having principal quantum number n is…

A: The energy eigen value for atomic hydrogen depends on principal quantum number. For angular quantum…

Q: Two identical particles of spin ½ are moving under the influence of a onedimensional harmonic…

A: Given, two identical spin half particle is in triplet state. 2S+1=3⇒S=1 The energy level of nth…

Q: A spin- particle is in a state with a definite value S, = }h. Consider an axis ' at an angle 0 to…

Q: Show that if two equivalent hybrid orbitals of the form spλ make an angle θ to each other, then λ =…

A: Given:- The two equivalent hybrid orbitals of the form spλ make an angle θ to each…

Q: If you double the width of a one-dimensional infinite potential well, (a) is the energy of the…

A: The equation for the energy states of a particle trapped in a one-dimensional infinite potential…

Q: N2 In the grand-canonical ensemble, show that (8N2) = kBTBT, where BT is the isothermal…

A: A vast canonical ensemble (also known as a macrocanonical ensemble) is a statistical ensemble used…

Q: A spin state in an arbitrary direction is given.

Q: Find the first order correction to energy for infinite square well of width 0 to a, with the…

A: An unperturbed infinite square well is shown below: The unperturbed energy…

Concept explainers

Nuclear interactions

In nature, there are certain rules and standards for an interaction. These interactions are universally accepted. There are four types of interactions:

Question

How many physically relevant real parameters are required to specify
the state vector of n spin 1/2 particles (discard the spatial degrees of freedom)?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Solution :

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

What is the minimum possible energy for five (noninteracting) spin-1/2 particles of mass m in a one-dimensional box of length L?
Show that the hamiltonian for spin-orbit coupling Commutes with the quantum angular momentum squared, orbital angular momentum squared, and the spin angular momentum squared using the fact that commute with each other.
Two identical particles of spin ½ are moving under the influence of a onedimensional harmonic oscillator potential. Assuming that the two-particle system is in a triplet spin state, find the energy levels, the wave functions, and the degeneracies corresponding to the three lowest states.
Discuss (qualitatively) the energy level scheme for helium if electrons were identical bosons. Pretend these “electrons” still have spin 1/2, so the spin configurations are the singlet and triplet.
Suppose an infinite square well extends from L/2 to +L/2 . Solve the time-independent Schrödinger's equation to find the allowed energies and stationary states of a particle with mass m that is confined to this well. Then show that these solutions can be obtained by making the coordinate transformation x=xL/2 for the solutions obtained for the well extending between 0 and L.
Check Your Understanding Find the expectation value of the position for a particle in the ground state of a harmonic oscillator using symmetry.
Consider a system of N spin 2 particles with allowed spin values −2,−1,0,1,2 for each particle. Compute the degeneracy factor for the case of zero total spin. Specialize to the case of N=10 for which compute the degeneracies for all possible total spin configurations. For each such configuration, draw a maximum of 10 representative examples.
Find die magnitude of the orbital magnetic dipole moment of the election in in the 3p state. (Express your answer in terms of µB.)
Check Your Understanding Suppose that a particle with energy E is moving along the x-axis and is in the region O and L. One possible wave function is (x,t)={AeiEt/hsinxL, when 0xL otherwise Determine the normalization constant.
An electron, trapped in a one-dimensional infinite potential well 250 pm wide, is in its ground state. How much energy must it absorb if it is to jump up to the state with n= 4?
Discuss the application of duality in the study of d-branes in string theory.
Use perturbation theory to calculate the first-order correction to the ground state energy ofan anharmonic oscillator whose potential energy is given by,