- #1

curious_mind

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- TL;DR Summary
- It is often argued that Dirac Equation is not valid as relativistic quantum mechanics requires the creation of antiparticles. But, there are also some arguments that suggest otherwise. For example, I saw Arnold Neumaier's website on this that there are multiparticle relativistic quantum mechanics also exist.

It is often argued that Dirac Equation is not valid as relativistic quantum mechanics requires the creation of antiparticles. But, there are also some arguments that suggest otherwise. For example, I saw Arnold Neumaier's website on this that there are multiparticle relativistic quantum mechanics also exist.

I would like to list some references on this:

[1] https://arnold-neumaier.at/physfaq/topics/multi.html

[2] https://www.physicsforums.com/threads/qft-vs-relativistic-quantum-mechanics.493656/ (Not open for reply, this is why starting new thread to put up my question)

[3] https://www.physicsoverflow.org/42599/whats-the-role-of-the-dirac-vacuum-sea-in-quantum-field-theory

[4] https://www.physicsoverflow.org/27619

I read about Prof. Arnold Neumaier's stand for relativistic quantum mechanics. However, in [1] it is clearly written that it is still somewhat not clear how to incorporate external potential in relativistic quantum mechanics.

Does that mean that Klein Paradox is not resolved by Relativistic Quantum Mechanics ? Do Relativistic QFT handles external potentials consistently ?

Any suggestions would be helpful. Thanks.

I would like to list some references on this:

[1] https://arnold-neumaier.at/physfaq/topics/multi.html

[2] https://www.physicsforums.com/threads/qft-vs-relativistic-quantum-mechanics.493656/ (Not open for reply, this is why starting new thread to put up my question)

[3] https://www.physicsoverflow.org/42599/whats-the-role-of-the-dirac-vacuum-sea-in-quantum-field-theory

[4] https://www.physicsoverflow.org/27619

I read about Prof. Arnold Neumaier's stand for relativistic quantum mechanics. However, in [1] it is clearly written that it is still somewhat not clear how to incorporate external potential in relativistic quantum mechanics.

Does that mean that Klein Paradox is not resolved by Relativistic Quantum Mechanics ? Do Relativistic QFT handles external potentials consistently ?

Any suggestions would be helpful. Thanks.