I Is there any operator for momentum in terms of t?

Aswin Sasikumar 1729
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Since there is an energy operator interms of t and a momentum operator interms of x as expected.For energy there is a hamiltanion operator interms of t which is unexpected for me.Similarly whether there is any operator interms of t for momentum also?
 
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Off the kinetic energy operator: ##2m\hat T=\hat p^2## ...
Note: the Hamiltonian operator is the energy operator.

Please provide example of "energy operator in terms of t".
 
Simon Bridge said:
Off the kinetic energy operator: ##2m\hat T=\hat p^2## ...
Note: the Hamiltonian operator is the energy operator.

Please provide example of "energy operator in terms of t".
Simon Bridge said:
Off the kinetic energy operator: ##2m\hat T=\hat p^2## ...
Note: the Hamiltonian operator is the energy operator.

Please provide example of "energy operator in terms of t".
ih/2π *∂/∂t is an operator of energy
 
This is misleading since time is a parameter in quantum theory not an observable, represented by an operator. The Hamiltonian represents the total energy of the system and is a function (or functional) of the fundamental operators of the theory's observable algebra like ##\hat{\vec{x}}## and ##\hat{\vec{p}}## for one particle in non-relativistic quantum theory ("first quantization") or the field operators in quantum field theories ("second quantization").
 
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
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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