Why classical physics work in quantum mechanics

In summary, the Extended Essay (EE) is a 4,000 word research paper that is a mandatory component of the IB Diploma Programme. It allows students to conduct independent research on a topic of their interest. The topic in question is the difference between classical and quantum physics and why classical physics cannot be applied to quantum level particles, specifically in regards to Schrödinger’s equation. The author has compared the values obtained using classical physics formulas and Schrödinger’s equation for the total energy of an electron. However, classical physics is unable to accurately explain the stability of atoms and other phenomena such as discrete atomic spectra and the photoelectric effect when applied to quantum level particles.
  • #1
Dammes
15
0
im finally writing my conclusion for my Extended Essay.

The extended essay (EE) is a mandatory core component of the IB Diploma Programme. It is a research paper of up to 4,000 words giving students an opportunity to conduct independent research or investigation on a topic that interests them.

but i am a it stuck.
my research question is "What is the difference between classical and quantum physics and why does classical physics not work on quantum level particles respect to Schrödinger’s equation?”

i have shown what values we get if we calculate the total energy of an electron using classical physics formulas and the total energy of an electron using Schrödinger’s equation.

but why doesn't it work.
what are the consequences of using classical physics on quantum level particles
 
Physics news on Phys.org
  • #2
A classical trouble with classical physics is the stability of atoms. Related problematic phenomena are discrete atomic spectra and the photoelectric effect.
 

1. Why does classical physics work in quantum mechanics?

Classical physics and quantum mechanics are two separate theories that describe the behavior of matter and energy. Classical physics is based on Newton's laws of motion and can accurately predict the behavior of macroscopic objects. Quantum mechanics, on the other hand, is based on the principles of wave-particle duality and uncertainty, and is used to describe the behavior of microscopic particles. However, in certain situations, classical physics can be used to approximate the behavior of quantum systems. This is because classical physics emerges from quantum mechanics in the limit of large systems or high energies.

2. Can classical physics fully explain quantum phenomena?

No, classical physics cannot fully explain quantum phenomena. Quantum mechanics is a more fundamental theory that can explain the behavior of microscopic particles in a way that classical physics cannot. Classical physics fails to account for the wave-like nature of particles and the effects of uncertainty, which are crucial in understanding quantum phenomena.

3. How does the correspondence principle explain the relation between classical and quantum physics?

The correspondence principle states that as the energy or mass of a quantum system increases, its behavior becomes closer to that of a classical system. This means that classical physics can be used as an approximation for quantum systems in the high energy or large system limit. However, the two theories are not equivalent and there are still many phenomena that can only be explained by quantum mechanics.

4. Are there any limitations to using classical physics in quantum mechanics?

Yes, there are limitations to using classical physics in quantum mechanics. Classical physics fails to account for the probabilistic nature of quantum systems and cannot fully explain phenomena such as quantum tunneling and entanglement. It also cannot accurately describe the behavior of particles at the atomic or subatomic level.

5. Can classical and quantum physics be unified into one theory?

Efforts have been made to unify classical and quantum physics into a single theory, such as the development of quantum field theory. However, this theory is still incomplete and there is currently no unified theory that can fully explain all physical phenomena. Scientists continue to research and explore the relationship between classical and quantum physics in the quest for a unified theory.

Similar threads

B Frequency of an EM wave in Classical and Quantum Physics
    • Quantum Physics
Replies
6
Views
819
I When do classical mechanics and electromagnetics stop working?
    • Quantum Physics
Replies
8
Views
888
IB Extended Essay research project on relativity
    • Introductory Physics Homework Help
Replies
13
Views
1K
I Classical analogy approach to quantum mechanics
    • Quantum Physics
Replies
21
Views
1K
I Frequency of EM waves in classical and quantum physics
    • Quantum Physics
Replies
26
Views
2K
Why is the thrust equation same under gravitational force?
    • Introductory Physics Homework Help
Replies
10
Views
667
What are the latest developments in discrete Quantum Field Theories?
    • New Member Introductions
Replies
1
Views
68
Algebra Find Algebraic Physics Courses Starting with Classical Mechanics - Dan
    • Science and Math Textbooks
Replies
14
Views
2K
Insights Quantum Physics via Quantum Tomography: A New Approach to Quantum Mechanics
    • Quantum Interpretations and Foundations
7
Replies
218
Views
12K
I Exploring the Physics of LASER: Classical vs Quantum Mechanics
    • Atomic and Condensed Matter
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top