Basic for quantum mechanics : Resource.

 In those extreme cases, the theories of special relativity and quantum mechanics become necessary as you mentioned, what prerequisite i need as i am from non physics background

If you're coming from a non-physics background and you're interested in understanding concepts related to special relativity and quantum mechanics, it's important to start with some foundational knowledge to make these advanced topics more accessible. Here's a suggested pathway:

1. Basic Mathematics:

To understand physics, you'll need a solid grasp of mathematics, especially algebra and calculus. Make sure you're comfortable with concepts like equations, functions, differentiation, and integration.

2. Classical Mechanics:

Before diving into the more advanced theories, it's beneficial to have a good understanding of classical mechanics, which deals with how objects move and interact under the influence of forces. This will provide you with a foundation for understanding the departure from classical physics that special relativity and quantum mechanics represent.

3. Introduction to Physics:

Start with introductory physics courses or textbooks that cover fundamental concepts like motion, forces, energy, momentum, and basic wave behavior. This will help you build a solid grounding in classical physics before moving on to more advanced topics.

4. Special Relativity:

Special relativity deals with the physics of objects moving at high speeds, close to the speed of light. To understand this theory, you'll need to be comfortable with concepts like time dilation, length contraction, and the equivalence of mass and energy (E=mc^2). An introductory book on relativity can help break down these ideas in a non-mathematical way.

5. Quantum Mechanics:

Quantum mechanics deals with the behavior of very small particles and the wave-like nature of matter and energy. This is a more challenging topic to grasp, but there are resources aimed at beginners that introduce the basic concepts without delving into complex mathematics. Understanding wave-particle duality, quantization of energy levels, and the probabilistic nature of quantum systems is key.

6. Resources:

For both special relativity and quantum mechanics, there are many online resources, videos, and introductory books designed for non-physicists. Look for explanations that focus on conceptual understanding rather than heavy mathematics.

Websites like Khan Academy, Coursera, and edX offer online courses in physics that cater to various levels of background knowledge.

7. Patience and Persistence:

These concepts can be challenging, but don't get discouraged. Take your time to absorb the ideas, and if you encounter something you don't understand, try looking for alternative explanations or seeking help from others who are knowledgeable in the subject.

Remember that these topics are complex and may require some effort to fully grasp, especially without a physics background. However, with determination and the right resources, you can develop a good understanding of special relativity and the basics of quantum mechanics.

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in those extreme cases,  quantum mechanics become necessary as you mentioned, what prerequisite i need as i am from non physics background 

If you're coming from a non-physics background and are interested in understanding quantum mechanics, here's a suggested path to help you build the necessary foundation:

1. Basic Mathematics:

A solid foundation in mathematics is essential. Make sure you have a good grasp of algebra, calculus (especially differential equations), and basic linear algebra. Quantum mechanics involves mathematical concepts that build upon these areas.

2. Introduction to Physics:

Start with introductory physics concepts to build your understanding of motion, forces, energy, and basic wave behavior. This will provide a foundation for more advanced topics.

3. Classical Mechanics:

Gain an understanding of classical mechanics, which deals with the motion of objects and the forces acting upon them. This will help you appreciate how classical physics concepts differ from those in the quantum realm.

4. Modern Physics:

Study modern physics, which covers special relativity and the early foundations of quantum mechanics. This will introduce you to some of the ideas that led to the development of quantum theory.

5. Atomic and Molecular Physics:

A basic understanding of how atoms and molecules work will be helpful, as quantum mechanics often deals with the behavior of particles at the atomic and subatomic scale.

6. Concepts in Quantum Mechanics:

Once you have a solid background, you can start diving into quantum mechanics. Begin with basic concepts like wave-particle duality, quantization, and the uncertainty principle. Try to grasp the idea that particles can exist in multiple states at once.

7. Quantum Mechanics Resources:

Look for introductory resources that explain quantum mechanics conceptually before diving into complex mathematics. Books like "Quantum Mechanics for Dummies" or "Introducing Quantum Theory" offer non-technical explanations.

Online platforms like Khan Academy, Coursera, and edX offer courses that cover the basics of quantum mechanics for beginners.

8. Practice and Patience:

Solving problems and working through exercises related to quantum mechanics will help reinforce your understanding. Quantum mechanics can be counterintuitive, so don't be discouraged by the challenging concepts.

Remember that quantum mechanics is a field that can be quite complex, even for those with a physics background. Be patient with yourself, and take the time to understand each concept before moving on to the next. It's a journey that requires effort, but the insights you gain into the fundamental nature of the universe can be incredibly rewarding.

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if i say choose most important

If you're looking to focus on the most important concepts from a non-physics background to gain a basic understanding of quantum mechanics, I recommend starting with the following key ideas:

1. Wave-Particle Duality:

This concept is at the heart of quantum mechanics. Understand that particles, such as electrons, can exhibit both wave-like and particle-like behavior. This duality challenges our classical intuition but is fundamental to quantum physics.

2. Quantization and Energy Levels:

Learn about how energy levels in quantum systems are quantized, meaning they can only take on specific discrete values. This is a departure from classical physics, where energy can take any value.

3. Uncertainty Principle:

Grasp the idea that there's an inherent limit to how precisely we can simultaneously know certain pairs of properties, like position and momentum, of a particle. The uncertainty principle highlights the probabilistic nature of quantum measurements.

4. Superposition:

Understand the concept of superposition, where a quantum system can exist in multiple states simultaneously. This is related to wave-like behavior and forms the basis of quantum computing's power.

5. Entanglement:

Gain an awareness of entanglement, where the states of two or more particles become correlated in a way that their individual properties cannot be described independently. Entanglement has fascinating implications for quantum communication and computation.

6. Schrödinger's Equation:

While you don't need to delve deep into the mathematics, knowing that Schrödinger's equation describes the evolution of quantum systems over time is important. It's the cornerstone of quantum mechanics.

7. Basic Applications:

Familiarize yourself with some practical applications of quantum mechanics, such as the behavior of electrons in atoms, the functioning of lasers, and the concept of tunneling.

By focusing on these fundamental concepts, you'll develop a basic understanding of the core principles of quantum mechanics without delving into advanced mathematics. This will provide you with insights into the unique behaviors of particles at the atomic and subatomic scale, as well as a foundation for further exploration if you choose to dive deeper in the future.