I read about it in the web,it,s suosed to be a quantizaton not nvolving lagrangians or Hamiltonians..could someone give me a link about dynamical quantization?..thanks.
Dynamical quantization is a non-Lagrangian approach to quantizing a classical system. It involves directly quantizing the equations of motion of the system without the use of a Lagrangian or Hamiltonian. This approach is particularly useful for systems that do not have a well-defined Lagrangian, such as general relativity.
The main idea behind dynamical quantization is to treat the classical equations of motion as operators in a quantum theory, and then solve for the quantum states of the system. This approach has been successful in describing the behavior of systems such as black holes and cosmological models.
One of the advantages of dynamical quantization is that it can be applied to a wide range of systems, even those that do not have a Lagrangian description. It also provides a more direct route to quantization, as it does not require the intermediate step of finding a Lagrangian.
Overall, dynamical quantization is a powerful approach to quantizing classical systems and has been a valuable tool in understanding the behavior of complex physical systems. I hope this helps to clarify the concept for you.
I would like to know how to calculate the ##[\hat{H}, \hat{P}]## for a particle in a 1D box? At the first glance it seems that they commute but they don't get diagonalized in identical basis. How to calculate this commutation?
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