Quantum numbers Definition and 123 Threads

Homework Statement In a universe different from ours, the laws of quantum mechanics are the same as ours with one small change. In this different universe the m ℓ quantum number obeys this rule. mℓ = (-ℓ-1), (-ℓ),..,0,...(ℓ), (ℓ+1) In this different universe, what is the maximum number...

1. how many combinations are possible with the four quantum numbers? 2. Does Pauli's exclusion principle apply only to electrons within the same atom? can it apply across atoms as well? how is the exclusion principle generalized across atoms?

Homework Statement The quantum numbers +1/2 and -1/2 for the electron spin represents? Homework Equations a) rotation of electron in clockwise and anticlockwise directions respectively b) tow quantum mechanical spin states which have no classical analogue c) Magnetic moment of electron...

I have a question about a specific passage in Hill's book on statistical thermodynamics. I have decided to teach myself the subject, but with having taken any classes in modern physics sometimes I encounter foundational material that I have no experience with. This question should be pretty...

Do free particles have quantum numbers? What are they?

So, you got n,l,m_l,m_s. If you have two hydrogen atoms on opposite ends of the universe, it seems to me that the electron in each could have the set of quantum numbers (1,0,0,1/2). Now, if you have a helium atom, because its two electrons are identical fermions, by the PEP they now "know"...

Greetings everyone, I'm going through Griffiths QM, and just wanted to make sure I understood the roles (where they come from, etc.) of the quantum numbers n, l, and m. What is written below is basically an outline of my current understanding, of which I am seeking either a confirmation or...

Homework Statement Lithium has an atomic number Z = 3. Two of its electrons have the quantum numbers {n, L, m{l}, m{s}} = {1,0,0,+1/2} and {1,0,0,-1/2}. Write down the corresponding set of quantum numbers for the third electron in the lowest energy state of the Li atom. Briefly explain the...

Homework Statement Assume that you travel through space to a strange universe where the allowable values for the quantum numbers are quite different from those in our own universe. In this new universe, s orbitals may contain a total of 2 electrons, p orbitals may contain a total of 4...

Homework Statement An oxygen atom has a total of 8 electrons. Write the four quantum numbers for the each of the eight electrons in the ground state? I can't seem to figure this out. I know this... O = 1s^2 2s^2 2p^4 But from that, I don't know how to finish the question...

Which set of quantum numbers is not possible? a. N = 5, l =3 , ml = 0 , ms = -1/2 b. N = 1, l = 0, ml = 0 , ms = 1/2 c. N = 3 ,l = 2, ml = 1, ms = 1/2 d. N = 4, l = 3, ml = -3, ms = 1/2 e. N = 5, l = 2, ml = 0, ms = -1/2 They all look possible to me and there is no none of the above...

Hi. I am a bit confused by the fact that there are quantum numbers related to every flavour of quark except the up and down. A consequence of this is that the neutral pion is it's own anti-particle while the neutral kaon is not. Why is this so?

Hi. I am a bit confused by the fact that there are quantum numbers related to every flavour of quark except the up and down. A consequence of this is that the neutral pion is it's own anti-particle while the neutral kaon is not. Why is this so?

what are the different ways to write four quantum numbers that designate an electron in a 3d orbital

Homework Statement Find all the terms of an atom whose last subshell is np³.Homework Equations M_L=\sum _i m_{l _i} M_S=\sum _i m_{s _i} The Attempt at a Solution My professor did the same exercise but with np². Basically he wrotes all the possible quantum numbers for the atom: 1)m_l=1...

this sounds like a question that should be answered somewhere, but i can't find it. how many quantum numbers does it take to specify the state of a spin 1/2? 1. if it points along z, then just 1: the eigenvalue of Sz will do (up to global phase) A. whether or not in a B field B. if...

Homework Statement find each of the angular momentum quantum numbers and the spectroscopic notation of the ground state electron configuration. Homework Equations n2s+1L J The Attempt at a Solution so for "each of the angular momentum quantum numbers" I am just finding the L in...

I don't understand why there are 2 dashed values in this table: http://en.wikipedia.org/wiki/Quantum_number#Quantum_numbers_with_spin-orbit_interaction. I have that j=l+s,l+s-1,...,|l-s|. So let's take #1 of the table. They give l=1 and we know that s=1/2. Thus j=l+s=3/2 or j=l-s=1/2. Why...

Homework Statement Write down the electonic configuration for the O atom. Write down the quantum numbers (n,l,m_l,m_s) for each one of the electrons. Homework Equations Pauli exclusion principle. Least energy principle for filling the shells. The Attempt at a Solution...

Homework Statement List all possible values for the quantum numbers n, l, m_l and m_s for a state 2p. If an atom has 2 electrons 2p, how many states are there?Homework Equations Simple ones.The Attempt at a Solution n=2. l=1. m_l=-1, 0, 1. m_s=-1/2, 1/2. Now I'm confused on how to answer the...

Homework Statement Consider the following states of the hydrogen atom corresponding to l=2 whose quantum numbers corresponding to L_z and S_z are given by m_l=2, m_s=-1/2 and m_l=1, m_s=1/2. What are the possible values for the quantum number j for the states m_j=3/2? Homework Equations...

Eigenvalues and quantum numbers My professor was discussing the Schrodinger equation in 3-d today and mentioned that there are degeneracies within quantum numbers (for the hydrogen atom, the x, y, and z components are symmetric?). Does that imply that the eigenvalues of some operator are the...

Homework Statement Imaging an electron (s=1/2) confined in a one-dimensional rigid box/ What are the degeneracies of its energy levels? Make a sketch of the lowest few levels, showing their occupancy for the lowest state of six electrons confined in the same box. (Ignore the Coulumb...

How to determnine quantum numbers of hybridized orbitals? For example:We have sp3 orbital,so its quantum numbers are n=1,l=0 and 1,m=0 and -1,0,1?Or how?Or they are in some way added up together? Thanks

This is just a short question about angular momentum quantum numbers, not a homework problem. So in my textbook it states that the letters s,p,d,f correspond to the angular momentum quantum numbers 0,1,2,3 respectively. But what if l = 5? Then what letter to use? The book does say that n...

Hi afaik S² does commute with an arbitrary component of the Spin, so this should give 2 quantum numbers, but they always say that there is just this 1/2 and -1/2 for the hydrogen atom. So my question is: Why is there only one quantum number to characterize the spin of an electron?

I believe that this is similar to the proof of schrodinger equation to obtain quantum numbers, however i cannot seem to understand the relationship between n, l and m: I have attached a pdf file on partial differential equations and on page 5, i cannot seem to understand why it is +n^2 and...

Is there any generally accepted or even speculative a priori reason why the orbital-angular-momentum quantum number is allowed to take on only integer values but the spin-angular-momentum quantum number may have half-integer values, or is this just empirical?

Homework Statement Explain why the Zeeman effect can assist in the determination of the quantum numbers of atomic levels Homework Equations The Attempt at a Solution Not sure why this is I understand what the Zeeman effect is, and the source of the splitting on energy...

Quantum numbers of atoms in a given state "(number^number)letter" Homework Statement An atom is in the state 42F. Write down the values of n,l,s and j. Homework Equations The Attempt at a Solution n=4 l=3 I'm having problems with s and j. I know j=l+s, does one...

Homework Statement Remembering that a bound state exists if the effective potential is negative, find an angular momentum quantum number l0 such taht for all l<l0 the states are bound. The given potential is V=(C/r3)-(D/r2), where C and D are positive numbers. Homework Equations...

Homework Statement Define the quantum numbers required to specify the state of an electron in hydrogen. The spatial part of the wave-function describing a particular hydrogen atom has no angular dependence. Give the values of all the angular momentum quantum numbers for the electron...

Homework Statement From past paper: State the selection rules for (electric) quantum numbers n,l,m,s and j. Homework Equations The Attempt at a Solution My problem is that looking online, there seems to be an m(s) and m(l). Is the question assuming that I state the selectrion...

Hi everyone, I have a perhaps slightly vague question for all the QCD experts out there. The simplest description of hadron quantum numbers comes from the parton picture where I attempt to simply add up the quantum numbers of a few partons that are supposed to make up the hadron. However, in...

If the angular momenta about three axes of rotation in a central potential did commute, how many quantum numbers would the system have overall?

Hello, I'm taking a course in introductory modern physics, and I have a few questions on the nature of quantum numbers: Why is \Delta l = \pm 1? My book simply states this is due the angular momentum of photons, but we have that L_{photon} = \pm 1 \hbar and L_{electron} = \sqrt{l(l+1)} \hbar...

Homework Statement which values can the quantum numbers j and J take on, can they take on the value 0? Homework Equations The Attempt at a Solution j=l+s and both l and s can be 0 so j can become zero, am I right?

hey, i asked myself, how one could derive the relations for the quantum numbers... so why is: l always: 0<l<n-1 from what follows this relation for l does anyone know this?

Hey Just wondering- Are all of the quantum numbers of anti-particles opposite to their corresponding particle quantum numbers? I know that lepton numbers are opposite for particles and anti particles As is charge... But what about the quantum numbers like strangeness, spin, parity...

In my notes for a module on atomic and molecular physics it has this statement: "For a given n the probability density of finding e- near the nucleus decreases as l increases, because the centrifugal barrier pushes the e- out. So the low-l orbitals are called penetrating." I just want to...

exam practise question: what are the physical observables determined by the quantum numbers n, l, ml and ms of the electron in a hydrogen atom. most places just give the equation or the name not the physical observable determined. so is this right?:- n = principal number determines the...

Homework Statement How many orbitals have the values n = 4, l = 3, and m_l = -2? Homework Equations First of all, is this question asking me how many orbitals there are with the given quantum numbers? Second, how do I go about finding that out The Attempt at a Solution I thought...

Hey, I have some problems concerning one of the exercises I got last week Homework Statement List the quantum numbers J,S,L (in spectroscopic notation ^{2S+1}L_J for partial waves of the n + p systemup to total angular momentum J=2 The quantum numbers J, S and L represent the total...

What exactly are quantum numbers? I read the Wikipedia page on them but it is just way to complicated for me.

Hi, I have a helium atom in the excited state of (1s,20p), and I am told that it has 4 corresponding atomic terms. I am supposed to "write down the quantum numbers of these 4 atomic terms". As I understand it, an atomic term is specified by the 2S+1LJ notation, where S is the spin quantum...

Why should symmetries require a field that acquires vacuum expectation value to have the same quantum numbers as the vacuum? Please give me a reference also..if possible...

I am still totally confused about the principle quantum number even though i got passed the unit with a A+ on the exam. does the principal quantum number, n, have anything to do with the period? Does the "n" value, which leads to the "l" and "ml" actually indicate all the possible orbitals for a...

I've been working on something and I seem to have hit a noose. The PDG lists many N/Delta resonances, but let's focus on four of them, each with JP=3/2+: *N(1720), P13, http://pdg.lbl.gov/2009/listings/rpp2009-list-N-1720-P13.pdf *Delta(1232), P33...

Why is the hydrogen the only atom that depends only on principal quantum number n and for all other elements, energies depend on both orbital quantum number and principal quantum number?

Homework Statement What are the allowed values of the total angular momentum quantum number j for a particle with spin s=3/2 and orbital angular momentum quantum number l=2? I know that the angular momentum addition theorem states that the allowed values for the total angular momentum...