u/Prime_Principle

Image 1 — Force can exist as a fundamental quantum observable with deep ploughing consequence to quantum measurement theory, study finds
Image 2 — Force can exist as a fundamental quantum observable with deep ploughing consequence to quantum measurement theory, study finds

Force can exist as a fundamental quantum observable with deep ploughing consequence to quantum measurement theory, study finds

For nearly a century, quantum mechanics has treated energy as the fundamental generator of dynamics through the iconic Schrodinger equation, while force remained a derived quantity.

New peer-reviewed research published in Europhysics Letters shows that when force is elevated to a fundamental quantum observable—on equal footing with energy and momentum—a new force wave equation emerges (see image above and IMAGE DESCRIPTION below), capable of modeling open-system dynamics and respecting Ehrenfest's results in the conservative limits while preserving the core principles of linearity and unitarity.

This may open a new direction for quantum mechanics—where dynamics are governed not only by energy, but by force itself.

IMAGE DESCRIPTION: The image above represents the case of a free quantum particle (zero potential energy) influenced by impressed forces.

(A conceptually rigorous validation of the discovery of force as a fundamental quantum observable - https://doi.org/10.1209/0295-5075/ae5ad3.)

u/Prime_Principle — 10 days ago

Why is it always said that the Schrodinger equation is the quantum version of Newton's second law when it is energy-based?

Ever since I got introduced to quantum physics, I became highly fascinated with the Schrodinger equation, especially how beautiful it looks. I also got to understand the Hamiltonian operator as the representation of total energy of a quantum system. So, I easily understood it governs dynamics under the principle of energy (and possibly momentum) conservation. However, Newton's second law, as I have been taught, does not describe dynamics under that principle since it is fundamentally force-based. So I got totally confused about how it represents Newton's second law in quantum mechanics if it is not force-based. I tried searching the internet but it always answers with what “conventional assumptions” say. Any active researcher to help me understand what is going on? And also is there a possibility of having a strictly force-based formulation as this research suggests?

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u/Prime_Principle — 11 days ago