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The Quantum-Mechanical Model of an Atom

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Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra.

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Related Experiment Video

Updated: Jul 29, 2025

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

Published on: May 27, 2020

Analytically Solvable Model for Qubit-Mediated Energy Transfer between Quantum Batteries.

Alba Crescente^1,2, Dario Ferraro^1,2, Matteo Carrega²

¹Dipartimento di Fisica, Università di Genova, Via Dodecaneso 33, 16146 Genova, Italy.

Entropy (Basel, Switzerland)

|May 27, 2023

Summary

This summary is machine-generated.

This study explores quantum energy transfer between a quantum charger and a quantum battery. It analyzes direct transfer versus mediated transfer, distinguishing between single-step and two-step processes for efficient energy storage.

Keywords:

coherent energy transfer quantum batteries two-level system dynamics

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Area of Science:

Quantum mechanics
Quantum information science
Energy transfer

Background:

Coherent energy transfer is fundamental in quantum systems.
Quantum batteries offer potential for efficient energy storage.
Understanding energy transfer dynamics is crucial for quantum technologies.

Purpose of the Study:

To investigate coherent energy transfer between two identical two-level quantum systems.
To compare direct energy transfer with mediated transfer via an intermediate system.
To analyze the distinctions between single-step and two-step mediated transfer processes.

Main Methods:

Analytical modeling of a system with two identical two-level systems.
Comparison of direct vs. mediated energy transfer pathways.
Investigation of simultaneous vs. sequential energy transfer dynamics.

Main Results:

Identified distinct dynamics for direct, single-step mediated, and two-step mediated energy transfer.
Demonstrated the influence of intermediate systems on energy transfer efficiency.
Provided an analytically solvable model for these quantum energy transfer configurations.

Conclusions:

Mediated energy transfer offers tunable pathways for quantum energy storage.
The timing of energy transfer steps significantly impacts overall efficiency.
This work complements existing literature on quantum energy transfer dynamics.