Related Experiment Video
Updated: May 5, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
9.0K
Uniqueness of the equation for quantum state vector collapse
Angelo Bassi1, Detlef Dürr, Günter Hinrichs
1Department of Physics, University of Trieste, Strada Costiera 11, 34151 Trieste, Italy and Istituto Nazionale di Fisica Nucleare, Trieste Section, Via Valerio 2, 34127 Trieste, Italy.
Physical Review Letters
|December 10, 2013
Summary
This study identifies the most general class of continuous wave function evolutions, exploring nonlinear modifications to quantum mechanics to resolve paradoxes like Schrödinger
Area of Science:
- Quantum Mechanics
- Foundations of Physics
Background:
- Quantum mechanics' linearity leads to paradoxes such as Schrödinger's cat.
- Nonlinear modifications of the Schrödinger equation are proposed as a solution.
- The uniqueness and general class of these nonlinear models remain an open question.
Purpose of the Study:
- To identify the most general class of continuous wave function evolutions.
- To explore nonlinear modifications of quantum mechanics compatible with physical requirements.
- To investigate models of spontaneous wave function collapse.
Main Methods:
- Analysis of nonlinear modifications to the Schrödinger equation.
- Identification of continuous wave function evolutions.
- Application of the no-faster-than-light signaling constraint.
Main Results:
- The most general class of continuous wave function evolutions is identified.
- This class represents nonlinear modifications to quantum mechanics.
- The findings are constrained by the no-faster-than-light signaling principle.
Conclusions:
- The study provides a comprehensive framework for nonlinear quantum mechanics.
- It addresses the uniqueness of spontaneous wave function collapse models.
- The identified class of evolutions offers a path towards resolving foundational quantum paradoxes.
Related Concept Videos
01:16Second Uniqueness Theorem
1.4K
Consider a region consisting of several individual conductors with a definite charge density in the region between these conductors. The second uniqueness theorem states that if the total charge on each conductor and the charge density in the in-between region are known, then the electric field can be uniquely determined.
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
In contrast, consider that the electric field is non-unique and apply Gauss's law in divergence form in the region between the conductors and the integral form to the surface...
1.4K
03:06The Pauli Exclusion Principle
51.7K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
51.7K
04:08The Uncertainty Principle
25.6K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
25.6K
02:45The Quantum-Mechanical Model of an Atom
47.1K
Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing...
47.1K
01:23Stability of Equilibrium Configuration
1.0K
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
1.0K
01:23Equilibrium Conditions for a Particle
2.4K
When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...
2.4K