Understanding the Complexity of Quantum Mechanics

In summary: On one hand, you say that quantum mechanics seems easy enough, but on the other hand, you express confusion and frustration with the methods used to solve equations and the assumptions made in the process. It's understandable to feel this way about a complex topic like quantum mechanics.
  • #1
sol66
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Quantum Mechanics seems like a ridiculous topic to learn. I'm currently in my first semester of quantum mechanics and so what we are doing now seems easy enough. So since I've understood what we are doing now, I've gone ahead to read future sections and there are these two sections that seem interesting.

The first section deals with solving your schrodeinger equation with some harmonic potential of mx^2 or something like that. Their are several methods on how to solve this particular equation which produces a series of formulas.

The Second part used some Fourier analysis to describe the motion of the wave packet, which I can understand ... however how they got to the Fourier integral and the expression of it all is beyond me.

It seems when I was reading my book on how it arrived to the equation, that either the method they used was too long or they assumed or made up a number of ridiculous expressions to got to the equation; by the time they get to the result I long forgot what they set out to do.

Is this how quantum mechanics is suppose to be, a number of ambiguous assumptions and rules that are made up that you must blindly follow to get to some result that you don't even understand?
 
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  • #2
sol66 said:
Quantum Mechanics seems like a ridiculous topic to learn. I'm currently in my first semester of quantum mechanics and so what we are doing now seems easy enough. So since I've understood what we are doing now, I've gone ahead to read future sections and there are these two sections that seem interesting.

sol66 said:
Is this how quantum mechanics is suppose to be, a number of ambiguous assumptions and rules that are made up that you must blindly follow to get to some result that you don't even understand?

These two parts of your post are contradictory.
 
  • #3


I can understand your frustration with the complexity of quantum mechanics. It is a field that challenges our traditional understanding of physics and requires a great deal of mathematical and conceptual understanding. However, I assure you that quantum mechanics is not based on "ambiguous assumptions and rules." Rather, it is a well-established and rigorously tested theory that has been confirmed by countless experiments.

The methods used to solve equations in quantum mechanics may seem long and complex, but they are necessary to accurately describe the behavior of particles at the quantum level. The use of Fourier analysis, for example, is a powerful mathematical tool that allows us to understand the behavior of wave-like phenomena, such as the wave packet you mentioned.

It is important to remember that quantum mechanics is a highly mathematical field, and it may take time and effort to fully grasp the concepts and equations involved. But rest assured, every step in the process is based on sound principles and has been extensively studied and tested by scientists.

I encourage you to continue your studies in quantum mechanics and to ask questions when you encounter difficulties. It is through perseverance and a deep understanding of the theory that we can truly appreciate the beauty and complexity of the quantum world.
 

1. What is Quantum Mechanics?

Quantum Mechanics is a branch of physics that studies the behavior of particles at a microscopic level. It describes the fundamental properties and interactions of particles such as electrons, protons, and photons.

2. Why is Quantum Mechanics important?

Quantum Mechanics is important because it helps us understand how the universe works at a fundamental level. It is the basis for many modern technologies such as transistors, lasers, and computer memory. It also plays a crucial role in fields such as chemistry, materials science, and quantum computing.

3. Is Quantum Mechanics difficult to learn?

Quantum Mechanics can be challenging to learn, as it involves abstract concepts and advanced mathematical equations. However, with dedication and practice, anyone can gain a basic understanding of the principles and applications of Quantum Mechanics.

4. What are some real-world applications of Quantum Mechanics?

Some real-world applications of Quantum Mechanics include transistors and microchips in electronic devices, lasers in medical and industrial applications, and cryptography for secure communication. It also has potential uses in quantum computing, quantum cryptography, and quantum sensors.

5. Are there any prerequisites for learning Quantum Mechanics?

A strong foundation in mathematics, particularly calculus and linear algebra, is essential for understanding Quantum Mechanics. Knowledge of classical mechanics, electromagnetism, and thermodynamics can also be helpful. However, anyone with a curious and open mind can start learning Quantum Mechanics without any specific prerequisites.

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