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Physics

Questions tagged [wavefunction]

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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. DO NOT USE THIS TAG for classical waves.

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-3votes
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95views

The equations of classical physics are time reversible -- unchanged when t is replaced by -t. The Schrodinger equation in quantum mechanics is time reversible -- unchanged when t is replaced by -t ...
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999views

In the hydrogen atom, the Coulomb potential$$V(r) = -\frac{e^{2}}{4\pi\varepsilon_0 r}$$$$\psi_{1s}(0)=\frac{1}{\sqrt{\pi a_0^3}}$$This seems contradictory: how can the electron have non-zero ...
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1answer
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The Klein–Gordon equation with a position-dependent effective mass,$$\frac{\partial^2 E}{\partial t^2} = c^2 \nabla^2 E - \chi(x)^2 E,$$describes a scalar field whose local propagation speed ...
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If a mode function of the light is given by $\psi_{\mathbf k}(x^\mu)=ce^{ik_\mu x^\mu}$, where the degrees of freedom of polarization are suppressed, it can be normalized by requiring $\left <\psi_{...
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I am studying molecules from the book Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles by Eisberg & Resnick. Are the labels of the even/odd wavefunctions wrong in Figure 12-2 (...
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I am a Math student and I am following a course in Quantum Mechanics. I am having some trouble understanding the physical solution of some problems. For example, consider the simple problem of a “...
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1answer
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In classical mechanics the inertia tensor for a density field $\rho(x,y,z)$ inside volume $V$, is defined as:$$\iiint_V \rho(x,y,z)(||{\mathbf r} ||^2 {\mathbf I}_3 - {\mathbf r}\otimes{\mathbf r})...
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I am trying to learn a little bit on my own about how we talk about physical systems on a high level of precision, partially because I'm getting into chemistry and want to understand what is ...
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179views

First off, I am not a physicist, but I have a course on modern physics.In this course, I am getting confused in the QM part. I want to know what the energy of the particle is when potential energy $U=...
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I am a beginner in condensed matter physics and I am reading Bloch's Theorem from a book by Ashcroft & Mermin. It is saying thatbecause the set of all wave functions and energy levels for two ...
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1answer
408views

Is there any theoretical aspects or experimental result or other reasons that lead to using “field”?I think the Schrödinger equation works well to describe particle. Then even if we want to include ...
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Recently I have become interested in learning more about Byers-Yang theorem, however I haven't been able to find many references where it is discussed in detail, other than the original 1961 paper. I'...
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In the third edition of the book "An Introduction to Quantum Mechanics" by David J. Griffiths and Darrell F. Schroeter the so called Wentzel-Kramers-Brillouin (WKB) method is treated in ...
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I'm trying to learn physics on my own but I am a bit stuck on the identical particles unit in the Griffiths textbook, specifically trying to derive how the Pauli exclusion principle happens.From the ...
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Let $V$ be a potential that has a singularity at $0$, i.e. $V(0)=\infty$. Example: Delta potential $V(x)=\lambda \delta(x)$. In textbooks it's stated that the first derivative of the solution $\psi$ ...

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