What is States: Definition and 1000 Discussions

The United States of America is a federal republic consisting of 50 states, a federal district (Washington, D.C., the capital city of the United States), five major territories, and various minor islands. The 48 contiguous states and Washington, D.C., are in North America between Canada and Mexico, while Alaska is in the far northwestern part of North America and Hawaii is an archipelago in the mid-Pacific. Territories of the United States are scattered throughout the Pacific Ocean and the Caribbean Sea.
States possess a number of powers and rights under the United States Constitution, such as regulating intrastate commerce, running elections, creating local governments, and ratifying constitutional amendments. Each state has its own constitution, grounded in republican principles, and government, consisting of three branches: executive, legislative, and judicial. All states and their residents are represented in the federal Congress, a bicameral legislature consisting of the Senate and the House of Representatives. Each state is represented by two senators, while representatives are distributed among the states in proportion to the most recent constitutionally mandated decennial census. Additionally, each state is entitled to select a number of electors to vote in the Electoral College, the body that elects the president of the United States, equal to the total of representatives and senators in Congress from that state. Article IV, Section 3, Clause 1 of the Constitution grants to Congress the authority to admit new states into the Union. Since the establishment of the United States in 1776, the number of states has expanded from the original 13 to the current total of 50, and each new state is admitted on an equal footing with the existing states.As provided by Article I, Section 8 of the Constitution, Congress exercises "exclusive jurisdiction" over the federal district, which is not part of any state. Prior to passage of the 1973 District of Columbia Home Rule Act, which devolved certain Congressional powers to an elected mayor and council, the district did not have an elected local government. Even so, Congress retains the right to review and overturn laws created by the council and intervene in local affairs. As it is not a state, the district does not have representation in the Senate. However, since 1971, its residents have been represented in the House of Representatives by a non-voting delegate. Additionally, since 1961, following ratification of the 23rd Amendment, the district has been entitled to select three electors to vote in the Electoral College.
In addition to the 50 states and federal district, the United States has sovereignty over 14 territories. Five of them (American Samoa, Guam, the Northern Mariana Islands, Puerto Rico, and the U.S. Virgin Islands) have a permanent, nonmilitary population, while nine of them do not. With the exception of Navassa Island, Puerto Rico, and the U.S. Virgin Islands, which are located in the Caribbean, all territories are located in the Pacific Ocean. One territory, Palmyra Atoll, is considered to be incorporated, meaning the full body of the Constitution has been applied to it; the other territories are unincorporated, meaning the Constitution does not fully apply to them. Ten territories (the Minor Outlying Islands and American Samoa) are considered to be unorganized, meaning they have not had an Organic Act enacted by Congress; the four other territories are organized, meaning they have had an Organic Act that has been enacted by Congress. The five inhabited territories each have limited autonomy and a non-voting delegate in Congress, in addition to having territorial legislatures and governors, but residents cannot vote in federal elections.

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  1. A

    Proving Coherent States are Eigenfunctions of Annihilation Operators

    Look at the following attached picture, where they prove the coherent states are eigenfunctions of the annihiliation operators by simply proving aexp(φa†)l0> = φexp(φa†)l0>. I understand the proof but does that also prove that: aiexp(Σφiai†)l0> = φiexp(Σφiai†)l0> ? I can see that it would if you...
  2. squelch

    Bra-Ket Notation, Wave Equation, Particle States

    Homework Statement A particle is in the state |\psi \rangle = \frac{1}{{\sqrt 3 }}|U\rangle + \frac{{a\sqrt {(2)} }}{{\sqrt {(3)} }}i|D\rangle . The up state |U\rangle = \left( {\begin{array}{*{20}{c}} 1\\ 0 \end{array}} \right) and the down state |D\rangle = \left(...
  3. J

    Norm of a vector related to coherent states

    Hi, For the past couple of days I've been attempting to derive the equality (for any normalised ##\varphi##) ||(a+za^\dagger+ \lambda)\varphi ||^2 = ||(a^\dagger+\bar{z}a+ \bar{\lambda} )\varphi ||^2 + (|z|^2-1)||\varphi ||^2 First of the summation seemed like a typo. So I first tried to prove...
  4. P

    How Does Normalization Affect Momentum States in Quantum Mechanics?

    What is the value of ##\left\langle {{\bf{p}}|{\bf{p}}} \right\rangle ## when ##a_{\bf{k}}^ + k\left| 0 \right\rangle = \sqrt {2{E_{\bf{p}}}} \left| 0 \right\rangle ##? (like in Peskin) I suppose that ##\left\langle {\bf{k}} \right|{a_{\bf{k}}}{\bf{P}}a_{\bf{k}}^ + \left| {\bf{k}}...
  5. K

    Show that the Slater Determinant states are a complete basis

    Homework Statement "Show that the Slater Determinant states are a complete basis" is the entire statement. Homework EquationsThe Attempt at a Solution I guess I'm trying to prove that the rank of the states is equal to the basis? I'm not sure where to start on this one.
  6. ZapperZ

    A brief history of physics education in the United States

    In case you haven't come across it yet, there is a very informative overview of the history of physics education in the US, starting all the way from the 1860s. D.E. Meltzer and V.K. Otero, Am. J. Phys. v.83, p.447 (2015). It is 12 pages long, and covers some of the most significant movement...
  7. J

    Is the Net Charge of a Hydrogen Atom the Same in Excited State vs Ground State?

    if in a hydrogen atom the electron is in a excited state, is the net charge the same vs ground state? what is the difference between charge and energy here? thx
  8. wood

    Finding overlap of fuzzy energy states

    Homework Statement Recall the definition of the overlap of wave functions Φ and Ψ: [; (\Psi , \Phi ) = \int\limits_{-\infty}^\infty dx\: \Psi ^{*} (x)\Phi(x);] Let ψ1(x) and ψ2(x) be unit-normalised wavefunctions representing sharp-energy states with different energies (and hence zero...
  9. U

    Is Quantum Superposition Dependent on the Observer?

    Here is a thought experiment. Imagine Schrodinger's cat... in the traditional model, there is a single observer outside the box, and the observer creates an entanglement with the catbox device which reveals the quantum superposition of the enclosed cat. The cat is said to be in a superposition...
  10. H Smith 94

    Visualising the Conjugate Transposition of a Vector

    Hi there! As you might have already guessed, I'm referring primarily to the 'geometrical' difference (is there such geometry in Hilbert space?) between ##n##-dimensional state vectors | \psi \rangle = \left( \begin{matrix} \psi_1 \\ \psi_2 \\ \vdots \\ \psi_n \end{matrix} \right) and their...
  11. Laplas

    Density of states of photonic crystal

    Hello! Does anybody know how to calculate the DOS as a function of Neff and λ/Λ? Thanks.
  12. J

    Quantum states as normal vectors

    Are all quantum states represented by normal vectors?
  13. Laplas

    Density of states, photonic crystal

    Hello! I know how to calculate band structure and density of states of photonic crystal (example is pic.1) Does anybody know how to plot such DOS maps? The second picture is from the article about photonic crystal fibers by Rodrigo Amezcua.
  14. C

    Trouble understanding definition of density of states

    According to my thermo textbook the density of states should really be called the density of orbitals because "it refers to the solutions of a one particle problem and not to the states of the N particle system". This makes perfect sense to me but now I'm confused about references to the density...
  15. J

    Proof that the set of stationary states are orthonormal?

    Hello there, I am just starting quantum physics with the textbook by griffiths. My lecturer has told me that the set of functions representing stationary states in Hilbert space forms an orthogonal set. He was however unable to prove it. Furthermore he said that it is not always the case, but...
  16. W

    Fermi Level and density of states

    Hi. Look at the picture on 1:28 and 1:37 in this video: How is it possible that the fermi-level is between two energy bands? The fermi level is defined as the highest energy level that contains an electron 50% of the time, so how is it possible for the fermi level being in an area that is...
  17. C

    Transition probability from two states

    Homework Statement A system has two independent states ##|1\rangle## and ##|2\rangle## represented by column matrices ##|1\rangle \rightarrow (1,0)## and ##|2\rangle \rightarrow (0.1)##. With respect to these two states, the Hamiltonian has a time independent matrix representation...
  18. A

    What happens to an electron's quantum state after measurement?

    Hello everyone. Can someone explains me the meaning of quantum state transition? For example consider an electron which is in the superposition of two energy eigenstates of a given hamiltonian, now, if no one perturbs the state with a measure, nothing happens and the superposition remains the...
  19. D

    Principle of corresponding states

    Homework Statement Show that it is always possible to adjust measurement units such that a; b can be assigned any values you want. This means that e.g. all van der Waals gases look exactly the same if the units are accordingly adjusted. (This is what is called principle of corresponding...
  20. A

    Solving My Confusion: States in Energy Band

    It's known that the number of states in a band is equal to the number of unit cells in crystal. Here is my problem (confusion with trivial concepts) Bloch function is a electronic state, or orbital. The number of orbitals in a band inside the first zone is equal to the number os units cells...
  21. J

    Photonic local density of states and field intensity

    Dear All: I'm very confusing with the relationship between photonic local density of states and the field intensity. In thermal equilibrium, the field intensity should be proportional to the photon's number (or squared) and also be proportional to the local density of states. We know that this...
  22. deep838

    Clarification about stationary quantum states of a system

    Okay, here goes... Our teacher set a question in the last test which asked us to show that if a system initially be in a stationary state, it will remain in a stationary state even if the system evolves according to the time dependent Schrodinger equation. What I did was show that the...
  23. binbagsss

    Possible decay states strong interaction, parity conservation

    The question is for which of the ##1P## meson states - ##1^{1}P_{1}, 1^{3}P_{0},1^{3}P_{1}, 1^{3}P_{2} ## ##D_{s}## states decaying to a ##1S## state is the decay: ##D_{s}**^{+} -> D_{s}^{+}\pi^{0} ## possible? Solution So the strong interaction conserves parity. Parity of meson is given by...
  24. K

    Phonon Energy and Density of States

    Hi all, In Charles Kittel (Introduction to Solid State Physics) He writes : U (Total Phonon Energy ) = Σk∑p((ħ*ωk,p)/((exp(ħ*ωk,p/τ))-1)) I understand this, but then he integrate over k and multiply by density of states : U (Total Phonon Energy ) = ∑p∫dω*Dp(ω)*((ħ*ωk,p)/((exp(ħ*ωk,p/τ))-1))...
  25. M

    MHB Number of states of finite automata

    Hey! :o Prove that for each $n>0$, a language $B_n$ exists where $B_n$ is recognizable by an NFA that has $n$ states, and If $B_n=A_1 \cup \dots \cup A_k$, for regular languages $A_i$, then at least one of the $A_i$ requires a DFA with exponentially many states. Could you give me some...
  26. sk1105

    Nuclear Shell Model - pp bound states?

    I have looked around for help with this, including on existing threads, but I can't quite find what I'm looking for. I know that in the nuclear shell model we fill the shells in the same way as with electrons, so 2 protons in the first and 6 in the second etc, with the same being true for...
  27. R

    How can we compute expectation values for spin states using Pauli matrices?

    Homework Statement When calculating expectation values for spin states I encountered ##\langle \hat{\mathbb{S}}_+\rangle = \langle+z|\hat{\mathbb{S}}_+|+z\rangle = \frac12\langle+z|\hat{\mathbb{S}}_++\hat{\mathbb{S}}_-|+z\rangle.## How do we compute...
  28. Astronuc

    News Baltic States - Lithuania, Latvia and Estonia - and the EU

    Folks were celebrating when these states joined the EU. http://www.dw.de/the-baltic-states-from-soviet-to-european/a-17872310 But now, folks are wearily eyeing a more aggressive Russia next door, especially after the Russian annexation of Crimea and invasion of Ukraine's territory. Meanwhile...
  29. L

    Classical states and decoherence

    It is stated that classical states are robust against decoherence.. what would happen if classical states can decohere too? Or how do you imagine it for example occurring to a table.. How would the table look like if it suffers decoherence too? Would you fall down if you sit on one?
  30. Julian Blair

    Creating superimposed states in an Hydrogen Atom

    I've been following the EdX course on Quantum Computing by Prof. Vazirani and I don't understand how one physically can create a superimposed state of the ground and 1st excited state of an hydrogen atom. He mentions "the use of light," but doesn't explain the frequency of the light, nor the...
  31. Spinnor

    Can massless states be used to build massive ones?

    I think I have read that massless fermionic states can be used (as a basis?) to build up massive fermionic states. Is that true? If so, could you please give me a very short outline of how this is done, or maybe better, a mathematical statement that "says" the same thing? Thanks for any help!
  32. B

    Analyzing 3 Electron States in Different Orbital Levels

    Homework Statement Consider three electrons in three different orbital levels n, m and p. We assume that there is one electron in each orbital level. How many states are then possible? Homework Equations Equations for constructing symmetric and asymmetric wavefunctions: Symmetric under pair...
  33. lfqm

    Raising operator for s in |s,m> states

    Are there any known (collective spin) operators to raise or lower the quantum number s in \left|{s,m}\right> spin states? I'm trying to construct coherent states varying the quantum number s instead of the well known spin coherent states varying m. I found a coherent-like state similar to the...
  34. M

    General 3-Qubit Mixed State: 63 Variables & Bloch Vectors

    How do I write the general form of a 3 qubit mixed state ? It has 63 variables. Well one way is to use bloch vectors. So basically we take 3 single qubit mixed states (3 variables each) and tensor product them. Then we add the 2 qubit correlators and 3 qubit correlator terms. Finally we can...
  35. U

    Quick question on Baryon spin states

    Things I don't understand: What do they mean by "two spin-1/2 doublets and a spin-3/2 quadruplet"? Why do they use the two flavours "+2/3e and -1/3e" ?
  36. E

    How we can label Total Density Of States peaks like 2s,5p

    In wien2k software of Dft how we came to know specific states like 3p 2s 4d etc peaks in total density of state of a compound.how we can relate TDOS with bandstructure.
  37. TrickyDicky

    Localization of states and elementary vs composite in QM

    While browsing Wikipedia I bumped into this sentence that seemed partially wrong to me but maybe I didn't understand what it is referring to so would like for some expert to help me elucidate it: "Even if an elementary particle has a delocalized wavepacket, the wavepacket is in fact a quantum...
  38. R

    Quantum Mechanics: Linear and Circular polarization states

    Homework Statement Evaluate the matrix elements ## {\mathbb S}=\left( \begin{array}{cc} \langle x|\mathbb{\hat J}_z|x\rangle& \langle x|\mathbb{\hat J}_z|y\rangle\\ \langle y|\mathbb{\hat J}_z|x\rangle &\langle y|\mathbb{\hat J}_z|y\rangle\end{array}\right)## by expressing the linear...
  39. blue_leaf77

    Expectation value of momentum for bound states

    Homework Statement I'm curious in proving that expectation value of momentum for any bound state is zero. So the problem is how to prove this.Homework Equations $$ \langle \mathbf{p_n} \rangle \propto \int \psi^*(\mathbf{r_1}, \dots ,\mathbf{r_N}) \nabla_n \psi(\mathbf{r_1}, \dots...
  40. Z

    Tracking states of randomness with three states

    I know that matter can only exist in one state at a time; however at the quantum level knowing what state it is in at a set time is impossible to know for sure until you look at the system. Like with how Schrodinger cat is in a state of randomness between the two states of dead and alive until...
  41. Larry Pendarvis

    Is it possible to distinguish between pure and mixed states?

    Is it possible, in principle, for an experiment to distinguish between an ensemble of pure states and an ensemble of mixed states? If so, how? In particular, I am thinking of an ensemble of particles whose spin has been measured, one at a time, on the "Vertical" axis. The ensemble consists of...
  42. E

    Understanding Pointer States and Decoherence: A Quantum Perspective

    How do you understand pointer states? I was trying to comprehend Zurek papers that without Einselection, Decoherence can even affect classical states and every tourist who looks at the Statue of Liberty would see different thing because its state was affected by the previous tourist. So he...
  43. J

    Triplet and Singlet Helium States

    I have a theoretical question, I just recently learned that the spin triplet S=1 of helium in the state 1s2s is lower in energy than the 1s2 state due to the exchange interaction. I then learned that this 1s2s state has a shorter lifetime than the 1s2 state, can anyone explain why this occurs...
  44. Quarlep

    Understanding Spin States: Theoretical Minimum and Normal Coordinate Systems

    In The Theoritical Minimum we shown all spins states use just two states up and down. How can we do that.? I am confused about the directions of states and normal coordinate system Can somebody help me ? Thanks
  45. Quarlep

    Understanding Spin and Quantum States: Insights from 'The Theoretical Minimum

    I am reading a book The Theoretical Minimum I didnt understand spin and quantum states "All possible spin states can be represented in a two dimensional vector space." What it means ?
  46. S

    Quantum imaging with undetected photons - adding of states

    I have a question concerning the paper "Quantum imaging with undetected photons". http://arxiv.org/abs/1401.4318 In the schematic (Fig. 1) a photon (idler) is created at NL1 and passing the object at O to be reflected further to NL2. It is then stated in the paper "By reflection at dichroic...
  47. A

    Calculating Potential Energy of Iron Slab in Ferro/Anti-Ferro Magnetic States

    Hello, I am calculating the potential energy surface of an iron slab, once with a ferro magnetic behavior and later anti ferromagnetic behavior, I know for ferromagnetic I multiply the number of atoms by its magnetic moment (I use 3 that must be a little higher than its real value), my...
  48. N

    Fermi distribution: Sum over states --> integral over states

    Homework Statement http://web.phys.ntnu.no/~kolausen/TFY4230/.oldExams/17_eksdes12.en.pdf solution: http://web.phys.ntnu.no/~kolausen/TFY4230/.oldExams/18_losdes12.en.pdf Look at problem 4a, formula (27) or the expression between (29) and (30). My professor keeps converting sums into...
  49. G

    Conservation of Energy with non-allowed states

    (This though came up while learning about band structure, so that is how I am going to explain it, but I think it applies equally well to a square well, for example). Say you have an electron at the Fermi level of an insulator. Then, you apply an electric field. No current flows, because all...
  50. L

    Does an electron's energy state affect its distance from the nucleus?

    Ok, so what I considered to be true for quite some time now has been somewhat tarnished after something that was said recently in a lecture, so I am looking for some insight. Basically, I was told several times by several teachers/professors over the years that when an electron absorbs a...
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