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. M

    Production of bound states of slow fermions- Peskin 5.3

    Hi all, I've been reading section 5.3 of Peskin and Schroeder, in which the authors discuss the production of a bound state of a muon-antimuon pair close to threshold in electron-positron collisions. Here \xi,\xi' are the Weyl spinors used to construct the Dirac spinors for the muon and...
  2. marcus

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    I recently got (re)interested in C* algebras. Poking around, I gathered that there is some way of constructing a C* algebra corresponding to a finite graph. I'll put some links here in case anyone knows anything about this. At the moment I'm ignorant but hope to find out more. No idea in...
  3. D

    Spacing/population of rotational states

    Homework Statement This is a two part question I can do about half of each but get a little lost when trying to finish. I have written all the values below but just in case the full question is here (sorry about clarity) - http://screencast.com/t/jHQTMFnYOhp λ = 308nm T = 2000K population...
  4. S

    Exploring the Lifetimes of He S=1,0 States in Quantum Mechanics

    Hey, I have question on Helium with one electron in it's ground state orbital 1s and the other in the 2s orbital. We have S=1 states reffering to the spin symmetric triplet state and S=0 reffering to the spin antisymmetric singlet state, due to quantum effects of the electron-electron...
  5. V

    Significance of free electron gas density of states in different dimensions?

    Hi all, I was deriving the free electron gas for practice in 1, 2, and 3 dimensions, and I started wondering why they have different dependencies on energies and what that means. I got: 1D: ##g(E) = \frac{1}{\pi\hbar} \sqrt{\frac{2m}{E}}## 2D: ##g(E) = \frac{m}{\pi\hbar^2}## 3D: ##g(E) =...
  6. P

    Bound State Wavefunctions vs Non-Bound State Wavefunctions

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  7. Y

    Tracking Diabatic States in a numerically produced energy spectrum

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  8. B

    Are Protons and Nuclei Transitioning Between Spin States in NMR and MRI?

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  9. S

    Can particles be entangled on any property having more than two states?

    can particles be entangled on any property having more than two states? Photons can be entangled on spin. however spin has only two states: Up or down, plus or minus So the question is: is there any property (having more than two states) on which photons/electrons/bucky-ball can be...
  10. A

    Analytic continuation to find scattering bound states

    Hello, I am trying to understand the idea of using analytic continuation to find bound states in a scattering problem. What do the poles of the reflection coefficent have to do with bound states? In a problem that my quantum professor did in class (from a previous final), we looked at the 1D...
  11. L

    How to Calculate Expectation Value of Product State in a Potential-Free System?

    Hi everyone Homework Statement I have to particles without a potential. The coordinates are r_1 and r_2 (for particle 1 and 2). Both have orthonormal states |↑> and |↓>. I shall show that the expectation value is the following, where as |↑↓> is a product state d^2=\langle \uparrow...
  12. S

    Combined system state as product of states

    Hey, I have to express the combined system state of j=5/2, m=5/2 in terms of the products of states j1,m1 and j2,m2. \mid j,m> =\mid\frac{5}{2},\frac{5}{2}>\: ,\: |j_1,m_1> \& |j_2,m_2> I know that one way of achieving this is for j1=3/2 and j2=1 but I'm not sure how to express this - I...
  13. C

    Degeneracy for different energy states in Infinite cubic well

    Alright, I'm back with yet another question... So the prof was explaining that the energy in an infinite cubical well is E((h2∏2)/2ma2))(nx2+ny2+nz2) Which is all well and good, and he gave us the example of: ψ1,2,1 = E = 6((h2∏2)/2ma2)) And with little explanation mixed it up once...
  14. M

    General first-order markov chain of 2 states

    Hi, Hope you can give me an answer regarding this trellis diagram. why in this picture of a general first-order markov chain of 2 states,we should know the prob. of each state at each time? A general first-order markov chain, can be Time-dependent(non stationary) so Transition prob. can change...
  15. C

    Obtaining Higher Angular Frequencies in QHO Excited States

    Maybe the answer to this should be obvious, but if the quantum harmonic oscillator has a natural angular frequency \omega_0, why do the excited states vibrate with higher and higher angular frequencies? How do we obtain these frequencies? Thanks!
  16. K

    Non-strange non-baryonic states are eigenstates of G-parity

    It is said that all non-strange non-baryonic states are eigenstates of G-parity. And all members of an isospin multiplet have the same eigenvalue. Can anyone give me a proof to these two statements, or show me where I can find one? In addition, the composite state consisting of K^{+}K^{-} should...
  17. P

    Quantum Mechanics Test Questions bounded states

    Hello, I need help with 2 homework questions: Also this question:
  18. A

    Energy Level Transitions, transition time for e- to change energy states in atom

    Given a simple atom like the Bohr atom (and possibly generalized to any other atom), I know that an electron can transition from one energy level to another, either by absorbing or releasing a photon of a precise hf. How much time does an electron take to make a transition from one energy level...
  19. A

    QM Puzzle: Can One Particle Have Multiple States?

    I was taught that a particle is assigned to a unique quantum state. As a specific example, two bound electrons can't have the same quantum numbers in an atom. And likewise one and only bound electron is assigned to one quantum state in an atom. Yet, I am reading several solid state books and...
  20. C

    How Do Quantum Harmonic Oscillators Change Frequency?

    I'm working on a problem with a Harmonic oscillator which suddenly goes from the frequency ω_a to ω_b and I'm trying to find the expansion coefficients in |0 \rangle _a = \sum_{n = 0}^\infty \alpha_n |n\rangle _b where |0>_a is the ground state right before the change in frequency. The...
  21. P

    How to find Density of states numerically?

    If one has already known the dispersion dataset, for example, for 2D crystal, we know the 1000*2000 dataset for E=E(k_x,k_y), How to find the density of states numerically?
  22. M

    Stationary States and time-independent states (aren't they the same?)

    I always thought they were the same, but now I am reading a question that says "which of he following time-independent functions describe stationary states of the corresponding quantum systems?" Is there something I am missing? It's written like there is something to solve, but to me it seems...
  23. F

    One dimensional spring chain and density of states

    I have a classic infinite, linear chain of atoms, each of mass m, each separated by a spring with spring constant b and equilibrium distance a between each adjacent one. I know from my textbook that the dispersion relationship you get for this is: \Omega(k) = 2\sqrt{\frac{b}{m}} |sin(ka/2)|...
  24. H

    Are Spin and Quantum States Independent in Wave Functions?

    When we speak about wave function of an electron, we write it as ψ_{n,σ} (x,ζ) so that we specify here the orbital quantum number by n and spin quantum number by σ. σ can take two values according to spin up or down. x is space position and ζ has two discrete values related to spin up and down...
  25. askhetan

    What Is the Physical Meaning of Density of States in Solid State Physics?

    While studying about k-points, etc. I came across the terms density of states. What is it's physical meaning. research papers often have DOS graphs in which they segregate s, p, d contributions and talk about fermi level etc. Is this DOS the same as the kohn-sham orbitals that are solved for in...
  26. E

    Statistical physics: counting states, entropy and temperature

    Hi everyone, I've hit a bit of a snag with part c of this problem (can't figure out how to invert a function T(ν)), so I'm starting to question whether I have the previous parts correct. Homework Statement Consider a system of N identical but distinguishable particles, each of which has a...
  27. G

    Bound states in propagator

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  28. B

    Normalisation of quantum states

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  29. M

    Find the Initial and Final states of an excited Hydrogen Atom

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  30. W

    Proving Completeness of SHO's Coherent States

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  31. tom.stoer

    Number of bound states and index theorems in quantum mechanics?

    Just an idea: is there an index theorem for an n-dimensional Hamiltonian H = -\triangle^{(n)} + V(x) which "counts" the bound states (H - E) \,u_E(x) = 0 i.e. eigenfunctions and eigenvalues in the discrete spectrum of H?
  32. S

    The arguments against macroscopic quantum states are

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  33. B

    Superposition of basis states.

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  34. H

    Understanding Unpolarized Spin States in Quantum Mechanics

    I am confused about mixed quantum states, if the only observable states are pure eigenstates, since we have to measure to observe, what is the physical meaning of a mixed state?
  35. lalo_u

    Why must a scalar field have a constant vacuum expectation value?

    I was reading Mandle QFT book, and it says: "If we require the vacuum states to be invariant under Lorentz transformations and under translations, then this field must be a scalar field, $\phi(x)$, and its vacuum expectation value must be constant". Could anybody explain to me why is that?
  36. C

    Populations of each of the fifty US states is a vector?

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  37. R

    Semiconductor Physics - Density of States Calculation Problem?

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  38. B

    Find wavefunctions given states

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  39. P

    Equilibrium States on Force Tables

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  40. S

    Class - Key States & Behaviours

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  41. E

    Not for SALE in the United States

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  42. J

    Is Light considered Matter? Questions on energy and states of matter.

    So my initial question was whether or not light was considered matter. While googling this question, I came across this answer: http://answers.yahoo.com/question/index?qid=20080717210504AAngJQO In the top answer given, it is inferred that photons (light) are included in the definition of...
  43. D

    Adiabatic Availability and Changing States

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  44. V

    Help with Stat Mech density of states problem?

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  45. A

    The erase of quantum states by measurement

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  46. G

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  47. S

    Expectation value of a finite well, and superposition of first two states.

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  48. B

    States of matter; liquids and solids

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  49. P

    Where do 4 principal states of matter work together?

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  50. F

    Separation between lowest energy states

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