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Related Concept Videos

Quantum Numbers02:43

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It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
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The Quantum-Mechanical Model of an Atom02:45

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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 hydrogen spectra.
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Scalar Notation01:28

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In mechanics, commonly used terms like force, speed, velocity, and work can be classified as either scalar or vector quantities. A scalar is a physical quantity that can be described by its magnitude alone and does not require any directional components. Examples of scalar quantities are mass, area, and length.
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The moment of a force, also known as torque, measures the ability of the force to create rotational motion in a body about an axis. It is a vector quantity, meaning it has both magnitude and direction. This concept is used extensively in engineering, physics, and mechanics.
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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Quantum imploding scalar fields.

Mark D Roberts1

  • 1Department of Theoretical Physics, Burpham Institute for Advanced Studies.

Royal Society Open Science
|November 27, 2018
PubMed
Summary
This summary is machine-generated.

Investigating canonical quantum gravity reveals that quantum mechanical wave functions can remain finite at the origin, even when dealing with divergent singularities in scalar-Einstein theory.

Keywords:
canonical quantum gravityevent horizonssingularities

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Area of Science:

  • Theoretical Physics
  • Quantum Gravity
  • Cosmology

Background:

  • The d'Alembertian equation □ϕ = 0 admits solutions like ϕ = f(v)/r, which can generate divergent singularities.
  • Scalar-Einstein theory exhibits similar singularity-generating behavior for scalar fields and curvature invariants like the Ricci scalar.

Purpose of the Study:

  • To investigate the behavior of canonical quantum gravity in the presence of such singularities.
  • To determine if quantum effects can resolve or modify these classical singularities.

Main Methods:

  • Setting up two minisuperspace Hamiltonian systems.
  • Extrapolation and approximation techniques applied to these systems.

Main Results:

  • Analysis indicates that the quantum mechanical wave function can be finite at the origin.
  • This suggests a potential resolution to the divergent singularities.

Conclusions:

  • Canonical quantum gravity may offer a framework to handle singularities that arise in classical scalar-Einstein theory.
  • Quantum effects could prevent the divergence of wave functions at the origin, modifying the classical picture.