Liger20 said:Hey, I've been thinking about getting into quantum physics, and I just wanted to ask whether it's very difficult or not. What does the mathematics involve? Is it something that someone other than an experienced mathematician can handle? Maybe I should check out relativity first...
haushofer said:It's the question what you understand by an "experienced mathematician" ;)
The mathematics involved are linear algebra ( you're working with linear operators ), fourieranalysis ( you're working with waves in Hilbert-spaces) and some complex analysis ( the wave functions are complex ). The difficulty depends largely on your background.
Liger20 said:If you were going to recommend a book on this subject, that doesn't have much assumed knowledge as far as the mathematics goes, what would you reccommend?
Quantum physics is a branch of physics that studies the behavior of matter and energy at a very small scale, such as atoms and subatomic particles. It deals with fundamental principles that govern the behavior of these particles and how they interact with each other.
Quantum physics is considered difficult because it involves complex mathematical equations and abstract concepts that can be challenging to understand. Additionally, the behavior of particles at the quantum level often goes against our intuitive understanding of the world, making it difficult to grasp.
To study quantum physics, one should have a strong foundation in mathematics and physics, particularly in calculus, linear algebra, and classical mechanics. Familiarity with concepts such as wave-particle duality and probability is also helpful.
Some key concepts in quantum physics include superposition, entanglement, uncertainty principle, and quantum tunneling. These concepts are fundamental to understanding the behavior of particles at the quantum level and have significant implications in various fields, such as quantum computing and cryptography.
While advanced degrees, such as a Ph.D., are often required for research positions in quantum physics, there are also opportunities for individuals with bachelor's or master's degrees to work in this field. Many universities and research institutions offer undergraduate and graduate programs in quantum physics, providing a pathway to a career in this field.