Use of Special or General Relativity in QM?

In summary, it seems that the Special or General Relativity could be used to explain the effects of QM particles moving at speeds near the speed of light, but they are not actually used in QM because there is no change in mass.
  • #1
hagopbul
357
36
why no one use the Special or General Relativity in QM (Quantum mechanics) ...

when QM studies particles that move in the speed of light (or near it)

in the same time the Special or General Relativity only be visible (its effect ) in such speeds

do not thing that QM perturbation is using Relativity theories
 
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  • #2
hagopbul said:
why no one use the Special or General Relativity in QM (Quantum mechanics) ...
Really? How about the Dirac equation?
 
  • #3
no it is not maybe in some way they use "some" of it but
you can not say that he use the Relativity theories
because ther is nothing about the mass change in it
 
  • #4
hagopbul said:
no it is not maybe in some way they use "some" of it but
you can not say that he use the Relativity theories
because ther is nothing about the mass change in it
Increasing mass is a fallacy, there is no such thing as "relativistic mass". However, Dirac's formulation is entirely consistent with the relativistic four-vector and can be applied to curved space-time. What more do you want?
 
Last edited:
  • #5
OK i will reread about it do you know any book that is specialized in Dirac's theories only.
 
  • #6
I can recommend a text, but it is rather expensive: Relativistic Quantum Mechanics (Pure & Applied Physics) J.D. Bjorken, S.D. Drell. I'd recommend getting it from the library if you can.
 
  • #7
hagopbul said:
why no one use the Special or General Relativity in QM (Quantum mechanics) ...

when QM studies particles that move in the speed of light (or near it)

in the same time the Special or General Relativity only be visible (its effect ) in such speeds

do not thing that QM perturbation is using Relativity theories

Look up quantum field theory. It is a fully relativistic invariant formulation of quantum mechanics. It marries special relativity and quantum mechanics. As for general relativity, that's a whole different can of worms.
 
  • #8
thanks we will talk later
 
  • #9

Related to Use of Special or General Relativity in QM?

1. How does special relativity affect quantum mechanics?

Special relativity, which describes the behavior of objects moving at high speeds, has a significant impact on quantum mechanics. In particular, it explains the phenomenon of time dilation, which is the slowing down of time for objects moving at high speeds. This has implications for the measurement of time in quantum systems, as well as the concept of simultaneity.

2. Can general relativity be used to describe quantum systems?

General relativity, which describes the behavior of objects in gravitational fields, is not typically used to describe quantum systems. This is because general relativity and quantum mechanics are based on fundamentally different principles and have not yet been successfully unified in a single theory. However, there are some attempts to use certain aspects of general relativity, such as curved spacetime, to explain certain phenomena in quantum mechanics.

3. How is the theory of relativity related to the uncertainty principle?

The uncertainty principle, which states that it is impossible to know both the position and momentum of a particle with absolute certainty, is a fundamental principle of quantum mechanics. It is not directly related to the theory of relativity, but there are some interpretations of the uncertainty principle that suggest it is a result of the limitations of our ability to observe and measure particles, which can be influenced by the theory of relativity.

4. What are some real-world applications of the use of relativity in quantum mechanics?

One of the most well-known applications of relativity in quantum mechanics is in the development of GPS technology. The GPS satellites in orbit around Earth must take into account both special relativity (due to their high speeds) and general relativity (due to their location in Earth's gravitational field) in order to accurately transmit signals to and from devices on the ground. Additionally, relativity plays a role in the study and development of quantum computing and quantum communication technologies.

5. Are there any conflicts between relativity and quantum mechanics?

While there are some discrepancies between special relativity and quantum mechanics, such as the concept of entanglement in quantum mechanics seemingly violating the speed of light limit in special relativity, there is currently no major conflict between the two theories. However, the search for a unified theory that can reconcile these discrepancies and fully explain the behavior of the universe is still ongoing.

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