Vacuum fluctuation Definition and 17 Threads

Hello, I sometimes read that the entanglement of the vacuum state of a field -- maximal and ubiquitous -- is an inescapable axiom of QFT. In articles often oriented towards AQFT (like SJ Summers' one, Yet more ado about Nothing) but also in this intervention by Susskind (from 32mn30...

Hello everyone. The 1D wave equation is written: $$ \left( \partial_t^2/c^2 - \partial_x^2 \right) \Psi = 0$$ An electromagnetic wave or matter wave, like free electron (unnormalized here), can be written with the following wave function ##\Psi_m## of energy ## \hbar k c ##: $$ \Psi_m \propto...

In theory (please correct me if I am wrong in any point), if our vacuum were metastable (i.e. in a "false vacuum" state), it could go through a phase transition into a stable state (a "true vacuum" state). Depending on the properties of the new vacuum, fundamental forces and particles could...

Summary:: Trying to find good books so that I can continue writing my paper about the vacuum Hello fellow physics enthusiasts, I require your support to find good and scientific literature about: Lamb Shift Vacuumpolarisation Zero point energy It can be a long source too, so don't be afraid...

In the book" The Quantum Theory of Radiation", Heitler derived the transverse self-energy of the electron(Chapter III, Section18, Eq.(23)) $$\frac{{{e^2}}}{{\pi m}}\int_{\text{0}}^\infty {kdk} $$ which is the energy of the electron under the action of the vacuum fluctuation of the radiation...

Hi, I have some problems with visualization (I'm trying to understand Jeff Steinhauer's experiment, but my questions are general). Why the quantum vacuum fluctuations are guaranteed by the underlying pointlike atoms composing a BEC? And if vacuum fluctuations generate excitations (i.e...

The Uehling potential due to vacuum polarization by virtual electron-positron pairs is said to be the dominant contribution — 205.0073 meV — to the Lamb shift between the 2P1/22P1/2 and 2S1/22S1/2 states of muonic hydrogen. In the Wikipedia page (https://en.wikipedia.org/wiki/Lamb_shift), it is...

It has been proposed by Edward P. Tryon that the Universe may be a large scale quantum mechanical vacuum fluctuation where positive mass-energy is balanced by negative gravitational potential energy, as a consequence of the early inflationary launch of the expansion of the Universe, in which...

A. Neumaier submitted a new PF Insights post The Vacuum Fluctuation Myth Continue reading the Original PF Insights Post.

As far as I understand it, the non-zero vacuum energy attributed to a quantum field (at each point in space-time) is precisely due to the Heisenberg uncertainty principle (and the fact that the energy of the quantum field at each space-time point is quantised). Accordingly (in order to satisfy...

I have read that the total energy of the universe is zero and that the big bang might have emerged from a quantum fluctuation. Also that there is a chance (extremely low) of another big bang occurring in the quantum vacuum energy fluctuations. As far as I understand the vacuum energy / dark...

I have been going through chapter 2 of Sakurai; the 1967 edition. Chapter 2 gets into the self energy of the electron, the concept of the bare mass of the electron, and vacuum fluctuations. Would these same concepts (self energy, bare mass, and vacuum fluctuations) apply to a scalar field (e g...

I don't recall where I saw this...but the author said that the Casimir effect experimentally proved that vacuum fluctuations exist. Does the Casimir effect really prove that or is it consistent with vacuum fluctuations? Thanks for any comments you care to make.

recently i listened something about vacuum fluctuation.i don't know what exactly is it.but from that fluctuation is it possible to say that there is some width of the energy eigenvalue of a system where the particles are interact with em field.i don't know anything about field theory.

I understand that vacuum fluctuations can spring into and out of existence within a sufficiently short period of time, under the uncertainty constraint. However, I am currently a little confused over how this constraint is applied. 1) Does one use del E.del t = h bar (the commutation...

to preserve commutation relations in the quantized field operators (basically simple harmonic oscillator raising/lowering operators), a vacuum mode must be introduced in the case of a usual 50-50 beam splitter. thus, one has 4 modes: vacuum incident mode reflected mode transmited...

[SOLVED] vacuum fluctuation I have a few questions about this topic. 1. If their is build energy in vacuum (from Heisenberg's uncertainty principle), for example: build: 10 J ==> here for: d(t)=h/(4pi)/10J There must be built a particle and an anti particle ==> particle has 5 J and...