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. R

    If all states are stationary, what causes atoms to radiate then?

    We've solved for several systems, the hydrogen atom for instance, and one of the properties of these is that it doesn't matter what excitation state you look at, they are stationary states, the Hamiltonian is constant in time, so where's the impetus on an excited atom to radiate light if it's in...
  2. A

    Density of states of ideal gas and photon gas

    Homework Statement I know how to derive the density of states for an ideal gas by using the energy equation: E_n = A*n^2, where A = (h_bar^2*pi^2)/(2mL^2) but what about for a 'photon gas'? Do I use the same energy equation as above, or the following: E_n = (h_bar*pi*c/L)*n...
  3. B

    Software for transient states of circuits

    Hello, So is there any software, that generates the differential equation for the input circuit? I am trying to solve a problem and I want to check if my equation is right. Thanks.
  4. G

    United States Calculus 2 - Infinite Series

    Homework Statement Determine how many terms of the following convergent series must be summed to be sure that the remainder is less than 10^-5. Although you do not need it, the exact value of the series is given. ln(128) = 7*sum[k=1,inf] of (-1)^(k+1)/k Homework Equations [b]3...
  5. K

    Density of states for a free electron

    Homework Statement 1. Find the density of orbitals (often called 'density of states') for a free electron gas in one dimension, in a box of length L. 2. Find the density of orbitals for a free electron gas in two dimensions, in a box with area A. Compare with the three dimensional case...
  6. I

    Calculating Quantum States in Energy Range: Proving g(E)dE Equation

    How to calculate number of quantumstaes or unit cells within energy range E and E+dE in the phase space to prove the eqn: g(E)dE=[(8π√2V)/h^3]*m^(3/2)√EdE
  7. M

    Density of states arbitrary units

    So the problem is following. The density of states in energy space (3D case) represents the number of states per unit volume per energy. This means that the unit is #(number of states)/(cm^3 eV). This result can be seen in many solid-state physics books. I am reading some articles where the...
  8. maverick280857

    Quantum Fourier Transform of Periodic States

    Hi, This is probably trivial, but I don't see it and would therefore appreciate receving inputs. Suppose we define a state |\phi_{lr}\rangle = \sum_{n=0}^{N/r - 1}\sqrt{\frac{r}{N}}|l + n r\rangle How is the quantum Fourier transform of this state equal to...
  9. X

    Creating Excited States of Nuclei Without Neutrons: Is it Possible?

    Can one go about creating excited states of a nucleus without using neutrons? For example, Aluminium 26 exists in a ground state that has a half-life of about 70000 years, and decays by beta particle emission. It can also exist in an excited state that decays with a half-life of about 6.3...
  10. D

    Boltzmann Distribution Relative Population of 2 atomic states

    Homework Statement The relative population of two atomic population states in equilibrium is given by Boltzmann Distribution: n1/n0 (proportional to) e^(-ε/(κT)) , where ε is the energy difference between the two states, T is the temperature and κ is the Boltzmann constant = (1.38 x...
  11. LarryS

    Pure States or Mixed States: What's the Difference in Quantum Mechanics?

    I’m having a little difficulty understanding the difference between pure states and mixed states. Given a physical system and its associated Hilbert Space, is each member (or ray) of the Hilbert Space always a pure state? Is every linear combination (sum or integral) of pure states in the...
  12. I

    Can someone explain polarization states to me in really simple terms?

    Let's say I have an equation E=iE0cos(kz-wt)-jE0cos(kz-wt), how do I look at this and know, this is linearly polarized? or what if it changes and the kz is negative? or its a sin function with with (wt-kz-pi/4) in it. I just don't understand what this equation is supposed to be telling me and...
  13. P

    Why does the proton have no excited states?

    I've never heard of any excited states of the proton. Why? By "excited state" I mean something with the same composition (uud) that decays to the proton (plus photons etc.) with nearly 100% branching ratio.
  14. sweet springs

    Relation between coherent and Fock states of light

    Hi. Coherent states of light, which correspond to classical em wave, are eigenstates of non-Hermite annihilation operator. Fock states are eigenstates of Hermite number operator. Are Fock states are expressed by combination of coherent states? If yes, how? Thank you in advance. ref...
  15. A

    Why are plane waves not possible representations of states in quantum theory?

    One of the postulates of quantum mechanics, as quoted in any textbook on the subject, is something like the following: "states are vectors in a Hilbert space." But then they go on to solve the problem of the free particle, which should (I guess) be about the simplest problem one can solve...
  16. N

    Measuring the State of Photons: Determining Mixed & Pure States

    Suppose we have a photon whose polarization state is unknown, what measurement can be done to determine the state of that photon? How many times are we supposed to make the measurement in order to confirm our results? How can we distinguish a mixed state to a pure state?
  17. A

    Post-measurement states in generalized probabilistic theories

    Hello everybody I am currently trying to understand attempts to create a framework of generalized probabilistic theories in which quantum theory and classical theory appear as special cases. More precisely, I try to understand the framework which is sometimes called the framework of "convex...
  18. C

    Can Nuclei Emit Visible Light and Be Manipulated to Change Energy States?

    The nucleus of an atom has discrete energy states. And most of the time it emits gamma rays and x-rays from the nucleus. If I pack enough atoms into a solid or some other configuration could I get the nucleus to emit visible light. Is there any way I could manipulate the states to get them to...
  19. C

    Quantum states and complex numbers - newbie question

    this wikipedia article http://en.wikipedia.org/wiki/Qubit says i am kind of comfortable with the physics of it, but i am totally lost on the thing about vector space over the complex numbers can someone please lend me a hand? it seems that the more i try to read about it, the less i know
  20. V

    How Many Quantum States Exist in 500cm^3 of Water?

    Homework Statement In lecture for stats and thermal, we briefly talked about quantum states and went through an example. However, the lecturer simply told us the answer to the second part of the question without going through it. Here's the question: 1a.) How many molecules of H2O are in...
  21. M

    What is the wavelength of the radiation emitted at transition 3?

    Homework Statement The figure (see attachment) shows part of a energy-state-diagram for an atom. Three energy states are included. At energy transition 1 & 2 the atom emit radiation with the wavelengths of 2.56 \cdot 10^{-8} m and 3.04 \cdot 10^{-8} m, respectively. Find the wavelength...
  22. E

    Quark Model (Supermultiplet and States questions)

    From Ryder: "We can now see how a supermultiplet of ten baryons may arise. Baryons are made of three identical fermions, so the possible states may be classified according to their symmetry under interchange of quark labels. Altogether there are 27 states. One of these is totally...
  23. D

    Possible States of n Qubits as opposed to classical bits

    I am reading an introduction to quantum computing and I have a question about one thing I don't understand. "In classical physics, the possible states of a system of n particles, whose individual states can be described by a vector in a two dimensional vector space, form a vector space of 2*n...
  24. JK423

    Counting the states of a free particle (Periodic boundary conditions)

    Say you have a free particle, non relativistic, and you want to calculate the density of states (number of states with energy E-E+dE). In doing that, textbooks apply periodic boundary conditions (PBC) in a box of length L, and they get L to infinity, and in this way the states become countable...
  25. E

    Statistical mechanics - density of states

    Hi, I'm studying statistical mechanics from Reif's book. In his book Reif is reaching the conclusion that the number of states avaiable to a system at energy E (up to some small uncertainty in the energy due to finite observation) with f degrees of freedom is proportional to E^f . There is...
  26. M

    I solving an integral over density of states for electrons.

    Homework Statement I am trying to retake an old course in statistical mechanics but run into integrals that i simply have forgotten how to solve. Given an denstiry of states such that f(\epsilon)= \frac{1}{|\epsilon |} for \epsilon_{min} \leq \epsilon < 0 and 0 elsewhere Using the mean...
  27. C

    Squeezed coherent states- amplitude and phase

    I'm brushing up on squeezed coherent state and have seen them defined in terms of position and momentum squeezing and in terms of amplitude and phase squeezing...is there a relation between the two? Am i missing something obvious :p ?
  28. A

    Physics Is Emigration the Answer for U.S. Physics Students Facing Research Funding Cuts?

    With constant talks about cutting spending with respect to scientific research in the United States do any of you feel that looking for work outside of the U.S. is the best option? Especially if let's say a tea party candidate were to win the presidency in 2012 or 2016. I'm still an...
  29. Dotini

    DNA Can Discern Between Two Quantum States

    http://www.sciencedaily.com/releases/2011/03/110331104014.htm ScienceDaily (Mar. 31, 2011) — Do the principles of quantum mechanics apply to biological systems? Until now, says Prof. Ron Naaman of the Institute's Chemical Physics Department (Faculty of Chemistry), both biologists and physicists...
  30. SixNein

    News The Impact of a Potential Downgrade on the United States Credit Rating

    Many economists are predicting that America will get downgraded from AAA by at least one agency regardless if congress raises the debt limit. There has already been a great deal of damage caused from the political posturing in Washington. If the central government's debt gets marked down, I...
  31. T

    Can Scalars Represent Quantum States Effectively?

    Title may sound weird,but I think it might be worth exploring In axiomatic formulation of quantum mechanics, quantum states are postulated as vectors residing in Hilbert space. The only apriori requirement that Iam aware of ,for a quantity to qualify as a quantum state, is that it should...
  32. O

    Wavefunction collapse on degenerate states

    Hello, I am a beginner on the sbject so please correct if I'm using some sloppy terminology. I'll try to be clear. Consider a Hamiltonian with degenerate energy eigenstates (say the degeneracy is on angular momentum as in hydrogen atom). Which of the degenerate eigenstates would the wave...
  33. A

    What are the 6th and 7th states of matter?

    hello friends, Many of my friends tell me that there are 7 states of matter.Could anyone explain the 6th and 7th for me?
  34. E

    In one dimension there are no degenerate bound states?

    Hi. In the book I'm reading I've come to a question regarding degenerate states in one dimension. It says that in one dimension there are no degenerate bound states. But say I have a stationary state with some energy E, and assume that it is normalizable. You can easily show that the complex...
  35. S

    Working as a NE in the States as a Canadian

    I am an Engineering Physics (specifically nuclear) student at McMaster University. I was poking around at some postings in the industry and I noticed that a lot of the American job postings say that you need to be a US citizen and have security clearance. What I'm wondering is, does this apply...
  36. jfy4

    States of Composite Systems, p. 216: Ballentine

    Hi everyone, I am working through Ballentine's Quantum Mechanics books, and I am stuck... I would be appreciative if someone could walk me through this section with some help. Here is my first confusion. In this case then |a_{m'}b_{n'}\rangle\langle a_{m'}b_{n'}| do not form a complete...
  37. S

    Vector Representations of Quantum States

    I happen to be studying the basics of quantum mechanics at the moment and have made acquaintance with the vector representation of quantum states, in particular the two states of electron spin. For this question let's just say the spin can be up or down. The state of the spin is...
  38. X

    Show all other states are transient in Markov chain

    Let X be a Markov chain with a state s that is absorbing, i.e. pss(1) = 1. All other states communicate with s i.e. i → s for all states i ∈ S. Show that all states in S except s are transient. I understand this intuitively, but I'm not really sure how to start the proof.
  39. entropy1

    Macro objects and superposition of states

    Is a living macro object, such as a cat or human being, in fact in a superposition of states? (I am thinking about for instance the multiple-universe idea)
  40. E

    Stationary States: Differential Equations Issues

    So in Griffith's (ed. 2 page 37) there's an equation that says that **pretend the h's are h-bars...I don't know Latex very well** ih\frac{1}{\varphi}\frac{d\varphi}{dt}=-\frac{h^{2}}{2m}\frac{1}{\psi}\frac{d^{2}\psi}{dx^{2}}+V Since in this simplified case V where is a function of x alone...
  41. S

    Understanding 1. single photon and 2. entanglement states

    understanding 1. single photon and 2. entanglement ...states a photon spin is not know till we measure it. once we measure it we get some value (L or R, V or H etc)? does this value change if we were to measure it again after a few seconds? (assuming no interaction in-between)? now we move...
  42. A

    An interpretation of hamiltonians, states and fields.

    Hi all. Here is an n-particle hamltonian. H=\int d^{3}xa^{\dagger}(x)\Bigl(-\frac{\hbar^{2}}{2m}\nabla^{2}+U(x)\Bigr)a(x)+\int d^{3}xd^{3}yV(x-y)a^{\dagger}(x)a^{\dagger}(y)a(x)a(y) Here is an n-particle state. \Bigr|\psi,t\Bigl\rangle=\int...
  43. N

    Understanding Negative Quantum States: A Simplified Explanation by Dirac

    can somebody simply explain what is meant by NEGATIVE QUANTUM STATES , as given by dirac in his theory?i know its not as SIMPLE as i want it to be , but still I would like to know its significance in the most basic way!
  44. D

    DFT, Kohn-Sham: failure to describe transition states.

    Hi, could someone explain the following quote to me, please? It explains, why the Kohn-Sham-Scheme of DFT fails to describe transition states. My questions: If N_i ist the occupation number and the wavefunction may be given by \Psi = \sum_I{c_I \Phi_I} where \Phi_I are...
  45. J

    (long) question - Raman, IR spectroscopy; virtual energy states, light; heat

    I'm confused about what is going on theoretically with Raman, and light in general, wrt photon absorption, annihilation, and re-emission; I don't have the math background to understand Fourier transform, of anything past simple algebra anymore, but would like to at least have a decent...
  46. C

    How Are Dressed States Related to AC-Stark Splitting?

    Hi I have currently read about dressed states, but I don't get what it is. Does it have something to do with AC-Stark splitting? Hope someone can give me a nice explanation :-) Thanks
  47. L

    Descriptive question on interaction states and mass states.

    What are interaction states and what are mass states? Which ones are physical states? Which ones appear in Feynman diagrams? Explain your answer. I have that an interaction state is the state of a particle before the Higgs mechanism and the mass state is after the Higgs mechanism has given...
  48. J

    The quantum well density of states step function?

    I'm trying to get my head around the step function and the energy states of the quantum well. What I've got so far is this: The density of states for an electron confined in one direction by the potential barriers of the well, but free to move in the other two directions in the place of the...
  49. N

    Wavefunction/eigenfunction and eigen states?

    Hi everybody... I have two questions about what I couldn't understand in quantum physics: 1- could anyone tell me please what is different between wavefunctions, eigenfunctions and eigen states? 2- what is different between Operator and eigenvalue? thanks a lot
  50. C

    Occupancy of impurity states in semi-conductors

    Homework Statement Calculate the average number of electrons (the occupation probability) in a localized state of impurity in a semiconductor at a finite temperature T. The impurity state in a semiconductor can be empty or it can be occupied by only one electron. The Attempt at a Solution...
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