Seeking undergrad advice for physics/chem/biochem

[ezec]

I've been certain for the last couple years that I wish to pursue a career in research. I'm interested in the spectroscopy of proteins as a means of understanding biological mechanisms. The problem is that I would like to avoid a triple major if possible. Currently, I'm a community college student getting ready to transfer.

I thought of my general chem classes like a sort of Feynman physics lectures, a dumbed down physics class that offered unique insight in other perspectives and applications. In the same light, I would like to enter upper division chem classes (like physical chemistry) with, first, a good understanding of intro Quantum Mechanics.

If I double major biochem/neuroscience, then I need to learn the physics by myself.


My plan for the next year (during free time):

[1] "Quantum Physics of Atoms, Molecules, Solids, Nuclei, and Particles" Eisberg and Resnick
+Schaums

[2] "Introduction to Quantum Mechanics" Griffiths
+Schaums

Is this plan feasible? I will only have taken a combined intro Linear Algebra/Differential equations class by the time I begin Griffiths QM book.
How important are an understanding of Lagrangian/Hamiltonian Mechanics to QM?
What math do I need, in what order, and which can be learned concurrently? Vector Calc, ODE/PDE, Linear Algebra, probability, analysis?

Any help or advice is appreciated.

 

[R.Mesri]

Thanks.Your plan is quite feasible, provided that you dedicate yourself to learning the material. An understanding of Lagrangian/Hamiltonian mechanics is not absolutely necessary for learning Quantum Mechanics, but it can be helpful in some cases. For math, you will need a good understanding of linear algebra and calculus (vector calculus, ordinary differential equations (ODEs) and partial differential equations (PDEs)). You may also find it useful to learn probability and analysis if you have the time. It is usually best to start with linear algebra and calculus and work your way through the other topics. Depending on your background, it may be possible to learn some of these topics concurrently. Good luck!

 

[Mene]

I would first like to commend you for having a clear understanding of your career goals and for taking the initiative to plan your coursework accordingly. Pursuing a career in research requires a strong foundation in the fundamentals of physics, chemistry, and biology, so it is important to carefully consider your course choices.

Your plan to study quantum mechanics in your free time is definitely feasible, but it may require a significant amount of self-discipline and dedication. It is important to keep in mind that quantum mechanics is a challenging subject and may require a deeper understanding of mathematics than what is covered in introductory courses. I would recommend that you supplement your studying with practice problems and seek help from professors or tutors if needed.

An understanding of Lagrangian and Hamiltonian mechanics is important for quantum mechanics as it provides a mathematical framework for understanding the principles of quantum mechanics. However, it is not necessary to have a complete mastery of these topics before studying quantum mechanics. It may be helpful to have a basic understanding of these concepts before diving into quantum mechanics, but you can also learn them concurrently as you work through the material.

In terms of mathematics, a strong foundation in vector calculus, ODE/PDE, and linear algebra is essential for understanding quantum mechanics. Probability and analysis may also be helpful, but they can be learned concurrently with your study of quantum mechanics. It is important to have a good understanding of these mathematical concepts in order to fully grasp the principles of quantum mechanics.

Overall, your plan to study quantum mechanics on your own is ambitious and admirable. Just make sure to stay organized, motivated, and seek help if needed. Good luck with your studies!