Hydrogen Atoms under Magnification (paper)

DennisN
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(PF members Salman2 and ftr have already mentioned this in two threads, but I think it deserves it's own thread :smile:)

Hydrogen Atoms under Magnification: Direct Observation of the Nodal Structure of Stark States

Abstract:

To describe the microscopic properties of matter, quantum mechanics uses wave functions, whose structure and time dependence is governed by the Schrödinger equation. In atoms the charge distributions described by the wave function are rarely observed. The hydrogen atom is unique, since it only has one electron and, in a dc electric field, the Stark Hamiltonian is exactly separable in terms of parabolic coordinates (η, ξ, φ). As a result, the microscopic wave function along the ξ coordinate that exists in the vicinity of the atom, and the projection of the continuum wave function measured at a macroscopic distance, share the same nodal structure. In this Letter, we report photoionization microscopy experiments where this nodal structure is directly observed. The experiments provide a validation of theoretical predictions that have been made over the last three decades.

Paper: http://prl.aps.org/abstract/PRL/v110/i21/e213001

Articles:

  1. 'Quantum microscope' peers into the hydrogen atom
  2. Viewpoint: A New Look at the Hydrogen Wave Function
  3. The First Image Ever of a Hydrogen Atom's Orbital Structure(*)

Impressive technique and a beautiful experiment :smile:.

(*) Bonus material (from 2009):
I also recall this article, "http://blogs.nature.com/news/2009/09/electron_clouds_seeing_is_beli.html" from 2009, regarding this paper:
Imaging the atomic orbitals of carbon atomic chains with field-emission electron microscopy.
 
Physics news on Phys.org
And why not indulge ourselves with some images?

A photoionization microscope.

ku-xlarge.png


Images of nodal structure.

PW-2013-05-23-hydrogen-wavefunction2.jpg


PW-2013-05-23-hydrogen-wavefunction1.jpg
 
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...
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