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Citation: Cuicui Yang, Bo Shang, Xiaohua Chen, Weiquan Tian. Understanding the Wave-Particle Duality and Quantization of Confined Particles Starting from Classic Mechanics[J]. University Chemistry, ;2025, 40(3): 408-414. doi: 10.12461/PKU.DXHX202407066 shu

Understanding the Wave-Particle Duality and Quantization of Confined Particles Starting from Classic Mechanics

1.
College of Science, Chongqing University of Technology, Chongqing 400054, China;
2.
College of Chemistry and Chemical Engineering, Chongqing University, Chongqing 401331, China

Corresponding author: Weiquan Tian, tianwq@cqu.edu.cn
Received Date: 22 July 2024
Revised Date: 10 October 2024

“Wave-particle duality” and “quantization” of microscopic particles with mass are fundamental concepts but challenging for beginners learning quantum chemistry. The wave-particle duality, space-confinement of motion and quantization of energy of microscopic particles are discussed based on the energy equation and momentum operator in the present work. A conclusion that confinement leads to quantization of microscopic particles is reached.
- Microscopic particles,
- Energy equation,
- Wave-particle duality,
- Momentum operator,
- Potential field interaction,
- Quantization of motion
1. [1]
  Bohr, N. Philos. Mag. 1913, 26, 857.
2. [2]
  Heisenberg, W. Z. Phys. 1927, 42, 172.
3. [3]
  Schröndinger, E. Phys. Rev. 1926, 28, 1049.
4. [4]
5. [5]
6. [6]
  Hohenberg, P.; Kohn, W. Phys. Rev. 1964, 136, 864B.
7. [7]
8. [8]
  Levine, I. N. Quantum Chemistry, 6th ed.; Pearson Inc., Upper Saddle River, NJ, USA, 2008, pp. 30-31.
9. [9]
10. [10]
11. [11]
  Hückel, E. Z. Phys. 1931, 70, 204.
12. [12]
  Hückel, E. Z. Phys. 1931, 72, 310.
13. [13]
  Hückel, E. Z. Phys. 1932, 76, 628.
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