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The Quantum Wave Packet of the Schrodinger Equation for Continuous Quantum Measurements

José Maria Filardo Bassalo, P. T. S. Alencar, D. G. da Silva +2 more

In this paper we study the quantum wave packet of the Schrodinger equation for continuous quantum measurements.

arXiv:0905.4280May 26, 20090 citations

Wave packet dynamics for a non-linear Schrödinger equation describing continuous position measurements

Claudia Zander, Angel Ricardo Plastino, J. Díaz-Alonso

Annals of PhysicsJul 29, 201519 citations

Wave Packet and the Uncertainty Principle

Iraj R. Afnan

We devote this chapter to the concept of the superposition of waves to construct wave packets that satisfy the uncertainty principle and the Schrodinger equation.

BENTHAM SCIENCE PUBLISHERS eBooksApr 14, 20110 citations

The Quantum Wave packet and the Feynman-De Broglie-Bohm propagator of the Schrodinger-Nassar equations for an equation for an extended electron

José Maria Filardo Bassalo, P. T. S. Alencar, D. G. da Silva +2 more

In this paper we study the quantum wave packet and the Feynman-de Broglie-Bohm Propagator of the Schrodinger-Nassar equation for an extended electron.

arXiv:1004.1416Apr 8, 20100 citations

Time-Dependent Quantum Mechanics

Sven Larsson

The time-dependent Schrödinger equation (SE) or the wave equation may be written as i x,t H x,tη ∂∂ ( ) = ( )t Ψ Ψ , (7.1) where x contains, in principle, all the space and spin coordinates of all particles of the system. Using Equations 1.12 through 1.14 it is easy to check that a wave packet satises the wave equation.

CRC Press eBooksJan 26, 20120 citations

The Time-Dependent Schrödinger Equation

Reinhold A. Bertlmann, Nicolai Friis

Abstract The second chapter introduces the notion of wave functions and their equation of motion proposed by Erwin Schrödinger. The interpretation and normalization of the wave function are discussed, leading to the continuity equation. The chapter also introduces basic mathematical operations that can be carried out for wave functions and operators, describing e.g., how to calculate scalar products and commutators, as well as expectation values and variances of observables. With these tools at hand, Heisenberg’s uncertainty principle is re-examined, focusing on the example of a Gaussian wave packet, which is studied both in position space and momentum space. We also discuss the time evolution of general states and of the exemplary wave packet. Finally, we will see how classical physics is recovered as a limiting case of the quantum-mechanical descriptionAbstract The second chapter introduces the notion of wave functions and their equation of motion proposed by Erwin Schrödinger. The interpretation and normalization of the wave function are discussed, leading to the continuity equation. The chapter also introduces basic mathematical operations that can be carried out for wave functions and operators, describing e.g., how to calculate scalar products and commutators, as well as expectation values and variances of observables. With these tools at hand, Heisenberg’s uncertainty principle is re-examined, focusing on the example of a Gaussian wave packet, which is studied both in position space and momentum space. We also discuss the time evolution of general states and of the exemplary wave packet. Finally, we will see how classical physics is recovered as a limiting case of the quantum-mechanical description

Sep 7, 20230 citations

The quantum wave packet of the Schrödinger’s equation for continuous quantum measurements

Abstract

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The quantum wave packet of the Schrödinger’s equation for continuous quantum measurements

Abstract

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