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It is also referred to as quantum potential energy, Bohm potential, quantum Bohm potential or Bohm quantum potential . In the framework of the de Broglie–Bohm theory, the quantum potential is a term within the Schrödinger equation which acts to guide the movement of quantum particles.
In quantum mechanics, the Hamiltonian of a system is an operator corresponding to the total energy of that system, including both kinetic energy and potential energy. Its spectrum, the system's energy spectrum or its set of energy eigenvalues, is the set of possible outcomes obtainable from a measurement of the system's total energy.
6. Mai 2021 · That is quantum mechanics addresses the commutation of certain conjugate variables, such as position and momentum but leaves the definition of potential energy intact. Specifically, the potential captures the interactions from the environment (including possibly other particles) where a particle/body is "moving".
18. Nov. 2014 · It is known that in quantum mechanics a system may be modelled in terms of a process where the kinetic energy operator is associated partly with kinetic energy and partly with potential energy. We shall show that quantum evolution may be viewed as the outcome of visible and concealed motions, without recourse to potential energy.
- Peter Holland
- peter.holland@gtc.ox.ac.uk
- 2015
The quantum potential energy, as introduced by David Bohm, is defined and interpreted within symplectic quantum mechanics. It is a form of energy which cannot be localized in space. It represent the energy associated with the spatial curvature of the square-root quantum fidelity. INTRODUCTION The concept of a quantum potential energy is central
26. Juni 2015 · We are going to show that the additional term Q ( r, t) (the “quantum potential”) can be interpreted as an internal energy associated with a certain region of phase space, absent in classical mechanics, but arising in quantum mechanics from the uncertainty principle, which in turn arises from the topology of the underlying symplectic geometry.
In this section we want to describe how the vector and scalar potentials enter into quantum mechanics. It is, in fact, just because momentum and energy play a central role in quantum mechanics that $\FLPA$ and $\phi$ provide the most direct way of introducing electromagnetic effects into quantum descriptions.
