Schrödinger Definition and 611 Threads

Erwin Rudolf Josef Alexander Schrödinger (UK: , US: ; German: [ˈɛɐ̯viːn ˈʃʁøːdɪŋɐ]; 12 August 1887 – 4 January 1961), sometimes written as Erwin Schrodinger or Erwin Schroedinger ("oe" is the proper transliteration of the German "ö"), was a Nobel Prize-winning Austrian-Irish physicist who developed a number of fundamental results in quantum theory: the Schrödinger equation provides a way to calculate the wave function of a system and how it changes dynamically in time.
In addition, he was the author of many works on various aspects of physics: statistical mechanics and thermodynamics, physics of dielectrics, colour theory, electrodynamics, general relativity, and cosmology, and he made several attempts to construct a unified field theory. In his book What Is Life? Schrödinger addressed the problems of genetics, looking at the phenomenon of life from the point of view of physics. He paid great attention to the philosophical aspects of science, ancient and oriental philosophical concepts, ethics, and religion. He also wrote on philosophy and theoretical biology. He is also known for his "Schrödinger's cat" thought experiment.

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  1. P

    Solve Schrodinger Equations: Fourier Series/Integral for Psi(x)

    Homework Statement Suppose the wave function for a particle of mass m in one dimension is psi(x)= (const)ex2/4l2 express this wave function in terms of a Fourier series or integral. I know that psi(x)=\sumk (ak *eikx) for a plane wave. I have no idea where to go from here. Any help is...
  2. R

    Time-independent Schrodinger Equation

    Why is it that we assume that the solutions to the time-independent Schrodinger Equation are real? Why can't they be complex?
  3. S

    Understanding Time-Independent Schrodinger Equation

    In quantum mechanics, time independent Schrodinger equation gives dynamics of system. How do one claim that this equation is evolution of a system? Since dynamics need time dependency. How do one explain this discrepancy? Thanks in well advance...
  4. S

    Solving the Schrodinger Eq: Time Dependency & System Dynamics

    In quantum mechanics, time independent Schrodinger equation gives dynamics of system. How do one claim that this equation is evolution of a system? Since dynamics need time dependency. How do one explain this discrepancy? Thanks in well advance...
  5. G

    Schrodinger equation significance

    Hi, could someone please explain the equation to me (its significance, application and the how the equation itself works) in simple terms? I find most other resources too complex for me to digest. I hope this is not too much to ask.
  6. N

    Schrodinger Equation for a Bra Vector

    The Schrodinger equation for the complex conjugate of a ket vector is: d/dt<sai(t)| = -(<sai(t)|H)/(i*hcross) How do you derive the above equation from the normal form of the schrodinger equation? I'm mostly confused by where the negative sign is coming from. Thanks
  7. K

    How Do You Solve the Schrodinger Equation with Spherical Coordinates?

    Homework Statement See attached photo The Attempt at a Solution So I have no idea if I have even started this problem correctly so any help would be nice. My working is set out in one of the pictures. Any help would be appreciated I really am not quite sure what to do. Can't...
  8. S

    Non-linear Schrodinger Equation (Differential Equation)

    Hello, i am working on pulse propagation in optical fiber. i have to simulate the nonlinear Schrodinger equation using the FDTD (Finite Difference Time Domain) method. The Schrodinger equation has the form dA/dz = i/2 β2 d2A/dt2 –α/2 +iγ |A2|A where β2 is dispersion, α is...
  9. K

    How Do You Solve the Schrödinger Equation Using Polar Coordinates?

    Homework Statement See attached photo Homework Equations none The Attempt at a Solution Just hoping someone could give me a hand with this. I think I need to convert polar coords into y and z using trig then perform an addition of the wavefunctions as the linear transform...
  10. N

    Two Particle Schrodinger Equation in Polar Coordinates

    Homework Statement Consider two non-identical, non-interacting particles of mass M that are constrained to move on a circle of radius R. Write down the Schrodinger equation for this problem and find the eigenfunctions and energy levels of this system. Homework Equations (see below)...
  11. S

    Range of validity of the Schrodinger equation

    I understand that the Schrodinger equation describes the behaviour of matter and the electromagnetic wave down to the microscopic scale. But I'm not sure about the everyday sound waves, water waves, wave on a spring, etc. What do you think?
  12. Saitama

    What's in the schrodinger wave equation?

    I have just completed Atomic Structure from my textbook. In that a Schrodinger Wave Equation is mentioned and after that it is written that it is not in the scope of this book to solve this equation. I want to know what is so hard in the schrodinger wave equation that it is not of my level?
  13. R

    Schrodinger equation and atoms

    To what extent does the Schrodinger equation apply to an atom as a whole?
  14. A

    Time invariance of Schrodinger equation

    The Schrodinger equation is linear in time. I was wondering if that means that is not invariant under time reversal. That would be a surprise because all other microscopic laws (Maxwell's equations, Newton's equations) are time invariant. Can you please clear this doubt?
  15. N

    Solving schrodinger equation for quarkonium

    I've tried to solve Schrodinger equation for Charmonium and Bottomonium and there are some problems with that : 1. As we know the Schrodinger equation is independent from quantum number "ml" so there would be same Energy for different "ml" for a specific n. But what we see in PDG book is...
  16. G

    Time derivative of schrodinger equation

    Why is the TDSE first derivative in time. Now I know that it is required so that the wave functions are complex... but is there any physical interpretation for this requirment??
  17. beyondlight

    Is This Wavefunction a Valid Solution for the Schrödinger Equation?

    Homework Statement Show that this solution: \psi(x,y,z)=Ae^{i\mathbf{k}\cdot\mathbf{r}} is a solution for this equation: \frac{\hbar^{2}}{2m}\Delta \psi(x,y,z)=E\,\psi(x,y,z), How is K related to E? How does the corresponding timedependent function look like? The...
  18. S

    What is the Measurement Problem in Quantum Mechanics?

    I'm not good in quantum but i heard about this cause (cat) what happen to this cat and why he use cat although quantum used for microscopy system ?
  19. C

    3D Schrödinger Equation for a magnetic vector potential in cylinder coordinates

    Hi there, during my work on my PhD thesis as an experimental physicist I ended up with a very theoretical problem: What does the wavefunction of an electron traveling through a magnetic vector potential look like? I chose a cylindrical coordinate system with a magnetic vector potential A...
  20. 0

    Schrodinger Equation in momentum space? ?

    Schrodinger Equation in momentum space? ?? I don't know if this makes any sense at all, but I'm studying QM and just trying to generalize some things I'm learning. Please let me know where I go wrong.. Basically by my understanding the most general form of the Schrodinger Equation can be...
  21. A

    Matching conditions for solutions to the Schrodinger equation

    In standard, run-of-the-mill, one-dimensional scattering problems (e.g., finite square wells), we calculate transmission and reflection amplitudes by (in part) making sure that our wave function \psi satisfies the following conditions at discontinuities of the potential: (1) It is continuous...
  22. V

    Solving the Schrodinger Equation Using Substitution Method: Tips and Tricks

    I tried simply substituting z and epsilon into the original equation. I managed to get the second term of the left hand side correct but not the first term as I don't know how to turn z into d^2/dz^2. Can you please give me suggestions as to how I can approach this question. Thanks
  23. G

    Time-Dependent Perturbations in Schrodinger Equation

    From what I see, the time dependence in potentials do not change the spatial aspect of the wave function. They contribute a time dependence to the population of what were originally stationary states. If this is the case, then does that imply that the time independent bases are the ones we...
  24. B

    Harmonic oscillator verify both solutions to schrodinger equation

    Homework Statement a particle of mass m moving in one dimension has potential energy V(x)=0.5m [[omega(subscript0)]^2] x^2 verify that psi0 (proportional to) exp [(-m omega0 x^2)/2 h bar] and psi1 (proportional to) exp [(-m omega0 x^2)/2 h bar] are both solutions of the time...
  25. G

    Schrödinger equation with spin term

    hi, can anybody of you show me how the schrödinger equation with the spin term of the electron for the hydrogen atom looks like? i really do not know how to do this Gavroy
  26. S

    Can Operators Be Divided in the Schrodinger Equation Derivation?

    I had a math question about the following steps. The Shroedinger's equation can be written as follows. \LARGE i\hbar \frac{d}{dt}U(t) |\psi(0)> = HU(t)|\psi(0)> Where H is the hamiltonian and U is the time evolution operator. So U satisfies the schrodinger equation. \LARGE...
  27. P

    Why is this NOT a solution to the time independent Schrodinger equation.

    Homework Statement Given a set of solutions |psi_n> to the TISE show that a) |Capital-psi>=Sum(C_n|psi_n>) is not a solution to the TISE Homework Equations ***H|psi_n>=E_n|psi_n> The Attempt at a Solution I don't really know where to start, I plugged |psi_n> into *** and I am...
  28. M

    Time Independent Schrödinger equation.

    Pardon my ignorance but why does the Time Independent Schrödinger equation use Time? It uses a kinetic energy operator. Kinetic energy; "It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity." Velocity is; "The scalar absolute value...
  29. S

    Solving the Schrodinger equation

    This extract is from my college notes. "Because of the inherent difficulty of obtaining even grossly approximate solutions of the complete Schrodinger equation, one typically focuses on reduced formulations that are believed to capture the essential features of the problem of interest. This...
  30. B

    Show that the electron's state remains a solution of time independent schrodinger

    Homework Statement a)an electron in a hydrogen atom satisfies the time independent schrodinger equation with energy E0 in zero magnetic field, and its state possesses quantum numbers n, l and m.show that the electron's state remains a solution of time independent schrodinger equation when...
  31. E

    Deriving Energy and Wave Functions from 3D Schrödinger

    Homework Statement I have a quantum harmonic oscillator with quantum numbers nx,ny,nz ≥ 0 and frequency ω0. There are three parts to the problem. To me it seems they are out of order, but I'm kind of shaky deriving these. a) Write down the energy level Enx,ny,nz of a QHO in 3d with quantum...
  32. B

    Showing Superposition Principle with Time-Dependent Schrödinger Equation

    Homework Statement Show that, if psi1 and psi2 are both solutions of the time-dependent Schr¨odinger equation, so is c(subscipt1) psi1 + c(subscript2) psi2 (where c1 and c2 are arbitrary constants). Homework Equations The Attempt at a Solution every source I've consulted so far...
  33. M

    Why the Integration Constant in the Schrödinger Equation is Set to L(L+1)?

    in the schrodinger equation the integration constant in the angular wave equation is set to L(L+1). may i know why this is set ,what is the reason , thx!
  34. K

    Prove this function satisfies the time independent schrodinger equation

    Prove this function satisfies the time independent schrodinger equation. When V is constant. Psi = A e^(i k x) + B e^(-i k x) Attempt: Time independent schrodinger equation : (- (hbar^2) / 2m) * (d^2 Psi / d x^2) + V Psi = E Psi Second order derivative of Psi : (-k^2 A e^(i k x)) + (-...
  35. C

    Solving Schrodinger Equation: xav, (x2)av, Δx

    Homework Statement Use the ground-state wave function of the simple harmonic oscillator to find xav, (x2)av, and \Delta x. Use the normalization constant A=(\frac{m\omega _0}{\overline{h} \pi })^{1/4}Homework Equations \psi (x) = Asin(kx) (f(x))_{av} = \int ^{\infty }_{-\infty } \left| \psi (x)...
  36. E

    Minimum Momentum and Energy from Schrödinger Equation

    Homework Statement I have a 2D square well with sides a. What is the minimum momentum and energy for this well? Homework Equations Minimum momentum given by Δp≈ℏΔx and Δp≈ℏΔy Minimum energy given by ΔE≈ℏΔt This might be right. It says to consider the Schrödinger Equation in 2D. I've never...
  37. P

    Quantum mechanics. Schrodinger question energy level question.

    Hey, I'm stuck. How do you do question B1 part 2? Do you substitute h=p\lambda into E=n^2h^2 / 8mL^2 ? Question in link-
  38. A

    Schrodinger & semi-inverse-law potential

    Homework Statement Help me solve the schrodinger equation for cylindrical quantum wire with semi-inverse-law potential : http://www.upanh.com/upanh_untitled/v/euieaacf5f.htm Thanks My email address : duytien.tran89@gmail.com Homework Equations The Attempt at a Solution
  39. A

    Positronium, Hydrogen, Schrodinger Equation

    I have been studying QM and am interested in keeping to the non-relativistic theory for now. In many experiments of crossed gamma rays in the vicinity of a massive particle (or nucleus), pair generation of an electron and its anti-particle the positron is well described. In some instances, the...
  40. T

    Schrodinger equation solution when U>E

    Homework Statement see attachment Homework Equations TISEThe Attempt at a Solution a)When U>E -\frac{\hbar^2}{2m}\frac{d^2\Psi(x,t)}{d x^2}+U(x)\Psi(x)=E\Psi(x) leads to blahblahblah...(there is only transmittion no reflection as x to infty) \Psi(x)=Be^{-\alpha x}, where \alpha =...
  41. M

    Schrodinger Equation : Infinite Square Well

    Hi, I am having trouble understanding an example from a textbook I am reading on the Schrodinger equation. The example deals with an infinite square well in one dimension. With the following properties: V = 0\,where -a \leq x \leq a V = \infty\,|x| \geq a Where V is the potential. The...
  42. C

    Time-Independent Schrödinger Equation

    How can time-independent schrödinger equation be proven? Do you know any source which explains it clearly? Thanks for replies.
  43. C

    Hydrogen atom with discrete nonlinear Schrödinger equation

    Hi everyone, How can I solve hydrogen atom with discrete nonlinear schrödinger equation? Could you help me with the mathematics of that, please?
  44. H

    How Does the Schrödinger Equation Account for Rest Mass Energy?

    i know its a stupid question but I am a beginner: according to eisntein: E=K+m_{o}c^2 but the plane wave solution yields that particle's KE is its total energy,where free particle has no potential energy. But where is the rest mass energym_{o}c^2? Is it omitted?
  45. K

    What does Schrödinger equation prove/mean?

    1. I am writing one page on if there is free will(using physics). I concluded that there is no free will and I am trying to use Schrödinger equation in my paper, but i don't understand what its proving/means. And if possible can i get an example that will prove the equation(no math, just an...
  46. G

    Looking for help on Lancsoz algorithm to solve schrodinger equ

    Dear frnds, if we take an hydrogen atom and we wish to find out the PD function of 1st, 2nd and 3rd orbital. please help me finding out some doc on it.
  47. M

    Schrodinger Equation a constant?

    Im new to all of this a just started studying quantum mechanics and the time-dependent schrodinger equation. What attributes must be known of a particle to use the schrodinger equation? Also is the wave function considered a constant?
  48. J

    About the Schrodinger equation, the Hamiltonian, time evolution?

    Forgive me if this is a poorly asked question but I am not yet completely fluent in quantum mechanics and was just looking at the energy eigenvalue equation H|\Psi\rangle = i\hbar \frac{\partial}{\partial t}|\Psi\rangle = E|\Psi\rangle . We've got the Hamiltonian operator H acting on the state...
  49. H

    Wavefunction solution to the Schrödinger Wave Equation for a H atom

    On my notes, the lecturer left out some of the formulae as blanks which we were supposed to fill in as we went a long but I'm missing a few of them. The 1st one is: [PLAIN]http://img213.imageshack.us/img213/6627/screenshotdh.png I'm stuck here, I can't figure out what equation he's...
  50. I

    3D stationary Schrodinger - numerical solution

    Hi! My problem is connected with solving 3-dimentional Schrodinger equation for descrete spectrum. I need to consider arbitrary 3D-potential and find characteristics of boundary levels, produced by this potential (energy levels, quantum numbers...) All I found over the internet were...
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