This paper concerns an approximation of the expectation values of the position and momentum of the solution to the semiclassical Schrdinger equation with a Gaussian as the initial condition. Of particular inter
Answer to: Prove that the expectation value of momentum is zero whenever the wave function is real. By signing up, you'll get thousands of...
Add:9.SpecialComb.:expectation valueQuantumMech., the expected value of any observable property (e.g.position, energy, momentum) of a quantum-mechanical system. 1943W. Pauli inRev.Mod.PhysicsJuly 177/2They lead to the consequence thatoperators with only positive eigenvalues can have negative *...
Let us make one comment on the states in which we compute the expectation value. In Zamolodchikov's original work [3], the state |n is any energy-momentum eigenstate on a cylinder. In what follows, we consider the expectation values of the fields in the maximally symmetric states |ψ ...
In section IV we explicitly calculate the momentum expectation values in various potentials and show that in bound states we always get the expectation value of the linear momentum to be zero. Section V gives a brief discussion on the Ehrenfest theorem when we are using it to find out the...
particle in a 1-D box. The expected value of the particle's momentum is zero because it has equal probability of moving either to the left or to the right, however zero is not the most probable speed, as it will always have some momentum. Mathematically the expectation va...
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Study of Relations between Position and Momentum Expectation Values for Moleculesdoi:10.1238/Physica.Regular.066a00449Guocai TianGuobao LiJianmin Tao
Discusses the time development of Gaussian wave packet solutions of the 'quantum bouncer.' Definition of quantum bouncer; Evaluation and visualization of the expectation values and uncertainties of position and momentum variables during a single quasi-classical period; Use of the approach for comparison...
In this paper we prove that, even though the interference pattern shifts, none of the moments of the electron's positionr, nor of its kinetic momentumπ, are affected. On the other hand, we prove that the expectation value of the operator sina·π(withaa certain fixed vector), which was...