Formulation of Quantum Mechanics?

In summary, the conversation is about the symbols in the formula for quantum mechanics and the uncertainty principle. The formula represents the relationship between the uncertainty in position and momentum, which must always be greater than or equal to a constant divided by 2. The uncertainty principle is a fundamental principle in quantum mechanics, and more information can be found in the provided link. The symbols used in the formula include \hbar, which is a number, and <> which denotes an average.
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  • #2
That equation is simple a formulation of the uncertainty principle. The uncertainty in position times the uncertainty in momentum must be greater than or equal to a constant divided by 2.
 
  • #3
Okay... next question.
Whats the uncertainty principle?
 
  • #4
I started answering this, but my explanation was bumbling. The introductory text from the following does a better job.

http://en.wikipedia.org/wiki/Uncertainty_principle

Possible clarifications with respect to the symbols used are that [itex]\hbar[/itex] is just a number, and in the wiki article above <> is used to denote an average.
 
  • #5
That helps a lot! Thank you! ^.^
 

FAQ: Formulation of Quantum Mechanics?

What is the formulation of Quantum Mechanics?

The formulation of Quantum Mechanics is a mathematical framework that describes the behavior of particles and energy at the atomic and subatomic levels. It is based on the principles of quantum theory, which states that particles can exist in multiple states or positions simultaneously and that their behavior is probabilistic rather than deterministic.

Who developed the formulation of Quantum Mechanics?

The formulation of Quantum Mechanics was developed by several scientists, including Max Planck, Niels Bohr, Werner Heisenberg, Erwin Schrödinger, and Paul Dirac. These scientists made groundbreaking contributions to the field between the years 1900 and 1930.

What are the key principles of the formulation of Quantum Mechanics?

The key principles of the formulation of Quantum Mechanics include the uncertainty principle, wave-particle duality, superposition, and quantization of energy. These principles explain the behavior of particles and energy at the quantum level and are essential for understanding the behavior of matter and energy in the universe.

How is the formulation of Quantum Mechanics used in modern technology?

The formulation of Quantum Mechanics has many applications in modern technology, including in the fields of computing, telecommunications, and medical imaging. For example, quantum computers use principles of quantum mechanics to perform calculations at a much faster rate than classical computers. Quantum cryptography also utilizes quantum mechanics to ensure secure communication.

What are the major challenges in the formulation of Quantum Mechanics?

One of the major challenges in the formulation of Quantum Mechanics is the reconciliation of it with general relativity, which describes the behavior of large-scale objects in the universe. Another challenge is the interpretation of the probabilistic nature of quantum mechanics and the debate over whether it represents a fundamental aspect of reality or is simply a limitation of our current understanding.

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