# Tagged Questions

A complex scalar field that describes a quantum mechanical system. The square of the modulus of the wave function gives the probability of the system to be found in a particular state.

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### Representing an ISW wavefunction graphically [closed]

I'm trying to decode this diagram given to us for an assignment. The description of the diagram is 'Consider a particle of mass m confined to a 1-dimensional square well, given graphically by the ...
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### What is a linear polarized photon?

According to Dirac a 'linear' polarized photon is a superposition of left and right rotating photons. Here is a puzzling aspect of this superposition. There are dichroic materials which can absorb ...
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### Calculating the energy of a particle using the Time Independent Schrodinger Equation [closed]

If we have a wave function $\Psi(x,t=0)$ which is a solution to the TISE for a zero potential in an infinite square well, would calculating the energy at $t = 0$ at a position be as easy as ...
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### Exchange principle in terms of states and coordinates?

I have seen the exchange principle written in two ways, one in terms of coordinates and the other in terms of states: If $\psi_{AB}(1,2)$ represents particle $A$ in state $1$ and particle $B$ in ...
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### Meaning of the Vector Wave Equation

So I thought I would try my luck here on physics stack exchange about an intuitive meaning of the Vector Wave Equation. I know there are a lot of resources out there that explain this equation, but ...
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### How do we know that there is a wavefunction which collapse?

How do we know that there actually is a wavefunction in the first place which collapse. How do we know that there is a transition from some linear combination of the eigenfunctions to a single one? ...
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### Significance of $i$ in the Schrödinger equation [duplicate]

There's an imaginary $i$ in the Schrödinger equation, which I guess is to define the position of the particle in a space-time involving a complex function. But what is the real physical significance ...
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### 1D transmission lines wave equation solution

you may know that the solution of 1D wave equation by d’Alembert is F(x-ct)+F(x+ct) and my question is that like is this F(x-ct) at transmission lines only the equation of one forward going wave that ...
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### Understanding wave functions of matter waves

The wave functions of matter waves give the probability density of the particle being at a certain location. Does this arise because as an outside observer, we have incomplete information about the ...
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### Is the sum of two stationary states of different energies also a stationary state?

The question title kind of speaks for itself really. I was thinking of maybe using the orthogonality relation to try to show this: $$\int_{-\infty}^{\infty}\phi_n(x)\phi_m(x)dx=\delta_{nm}.$$ ...
Does the expression: $$\langle p\rangle_{x=a, b} =\frac{\int_a^b \Psi(x)^*\,\hat{p}\,\Psi(x)dx}{\int_a^b |\Psi(x)|^2dx}$$ have any physical meaning when $\int_a^b |\Psi(x)|^2dx\neq\int_{-\infty}^{\... 1answer 127 views ### How can a probability distribution have wavelength (de Broglie wavelength)? The wave function described by Schrodinger's equation is interpreted as describing the probability of a particle in at any point in space, i.e. a probability distribution. Since this distribution ... 0answers 63 views ### Loss of interference in single-photon Mach–Zehnder interferometer with detector in only one arm I have read that if you have a Mach–Zehnder interferometer (doing a single-photon experiment) and put a non-destructive detector in only one of the two arms (connected to the first beam splitter), you ... 1answer 124 views ### Help needed to understand “On the reality of the quantum state” I am having trouble to understand the reasoning in the following paper, On the reality of the quantum state. MF Pusey, J Barret and T Rudolph. Nature Phys. 8, 475–478 (2012); arXiv:1111.3328. ... 0answers 29 views ### Deriving Wave Function for Scattering States with Delta-Function Potential I am following the Griffiths Book on Quantum Mechanics, and am following the derivation for the wave function for Delta-Function Potentials. $$V(x) = -\alpha \delta(x)$$ In the scattering states, ... 3answers 298 views ### How can I solve this quantum mechanical “paradox”? Let a (free) particle move in$[0,a]$with cyclic boundary condition$\psi(0)=\psi(a)$. The solution of the Schrödinger-equation can be put in the form of a plane wave. In this state the standard ... 1answer 218 views ### Single quantum particle in beam splitter, with different systems located in each channel Suppose a quantum mechanical particle enters a beam-splitter, which sends its wave packets into two mutually orthogonal channels,$C_a$and$C_b$. Suppose that$C_a$also contains System A, with ... 0answers 18 views ### Is there a “natural” way to interpolate between a set of bound state wave functions? Consider for example the Coulomb potential,$-Z/r$, for which there exist a set of bound states with energy$\epsilon_n := {-Z^2 \over 2 n^2}$(in Hartree). If I want the "wavefunctions" for some ... 1answer 224 views ### How can energy be negative in a finite square well? Say if the potential$V(x) < 0$in the well but the sides or the scattered states its zero potential, anyways How is that the energy in the well is less than zero? Is it because the potential ... 2answers 39 views ### Notation of complex valued atomic orbitals Atomic orbitals are usually labeled$1s$,$2p_x$,$2p_x$,$2p_z$and so on. These wave functions are defined to be real valued. The original wave functions are complex valued. The$2p_x$orbital is ... 0answers 58 views ### Expectation value of the Hamiltonian [closed] How to calculate expectation value of the Hamiltonian for hydrogen atom?$$\langle H \rangle_{\alpha l} \equiv \frac{\langle \psi_{\alpha l m}|H(r)| \psi_{\alpha l m}\rangle} {\langle \psi_{\alpha l ... 0answers 45 views ### How to rewrite a wave function in terms of spheical harmonics I'm given a wave function for a particle, in three variables (spherical coordinates):$ψ=ψ(r, θ, φ) = re^{-r/a}sin(θ)sin(φ)$. I'm tasked with rewriting$ψ$in terms of spherical harmonics which are ... 1answer 68 views ### What's the microscopic and macroscopic effect of wavefunction dispersion? In Quantum Mechanics (Merzbacher 2nd ed.), problem 2.1 asks us to derive the time evolution of a one-dimensional Gaussian wavefunction (formula given for$t=0$), assuming the velocity is in the$+x$... 1answer 69 views ### Energy of hydrogen atom - Schrodinger equation [closed] The wavefunction of the electron in the hydrogen atom is$ k* exp(-r/a)$(k is the normalization constant), but it does not take n into account, whereas the solution of Schrödinger's equation ($H(...
The wave function in the position representation is $\langle\ x\rvert\psi\rangle$ = $\psi (x)$ , where $\psi (x)$ are the continuous coefficients that multiply the orthonormal basis vectors, i.e, \$...