The De Broglie Hypothesis – Physics Research Project #1

Hello, it’s been a while!

News:  Jiangmin has decided to settle as a freelance writer and will be publishing only on an occasional basis from now on.

If you can still remember me from my long absence, then great! I can happily say that my Advanced Higher exams are done and dusted, and I very recently graduated from high school. This Autumn I’ll be starting an Integrated Masters degree in Theoretical Physics…somewhere, I’ll update you on that one in August.

As you may know, I took Advanced Higher Physics this year and around 30% of the qualification is made up of a research project which must be based on a topic of the course. For the previous qualifications, it was required to do your project on a pre-selected topic, which consequently took away the fun, because the topics selected were either classical mechanics or electricity, I.e. not modern physics. But with this? I thought, QUANTUM IT IS.

One of the most amazing things in the course is the de Broglie hypothesis of Quantum mechanics which I very quickly made my project title.

Some background on the de Broglie Hypothesis

In the 20s, the early stages of the construction of quantum theory, a physicist Louis de Broglie postulated the wave particle duality of nature suggesting that all matter had both wave and particle properties.

Particles and waves are very different things. Particles are localised – they are in one place at one time and therefore can have a precise position. Particles have mass, they can bounce off one another and transfer energy through collision. Waves, on the other hand, are delocalised – to assign a “position” to a wave doesn’t really make much sense, waves can carry energy without the net transfer of mass, capable of interference, diffraction, reflection and so on.

Recent Fascination with a Non-Orientable Mathematical Surface – Mobius Strips

I have realised the last time I published a post was way back in November and that maintaining a blog is, in fact, tremendously difficult during preliminary exams period, which very fortunately just ended. It is not guaranteed that the general schedule for updates will be followed due to final year school workload at the moment but, I’ll no doubt try my best.

I have always enjoyed mathematics in school, whether it was the logic behind exam problems or solving tricky little mathematical puzzles. I had first become aware of the field of topology research after the announcement of the 2016 Nobel Prize in Physics, where pretzels, doughnuts and mugs were used to demonstrate topological properties considering the different number of holes each contains. In a sense, if two objects have the same number of holes, they are topologically equivalent, because they can be deformed into the same object without tearing or glueing or taping.

Klein Bottle

Now, I do not claim that I understand topology at the slightest, yes, the subject is way beyond me currently, but it’s always nice to read around some of its core ideas.

My mind-changing Science Summer School experience

From Monday 24th to Friday 28th July 2017 I had attended a residential Sciences Summer School which made me even more set on a future career in STEM (which I didn’t think was possible, haha) and especially medicine. Moreover, I made an abundance of fellow nerd friends who didn’t make me feel as lonely. There were a total of 58 fifth year pupils from all different backgrounds, Scottish, English, Welsh and 1 lone Northern Irish guy but somehow we all connected in a way which prior to the summer school, I believe to be impossible in the span of only a week.

Sunday

To give myself enough time to travel to the college, I had packed up my bags a day before and arrived to explore the city. Like the tourist I was, I stocked up on a plethora of various fridge magnets depicting medieval buildings and misleadingly sunny postcards which did not accurately depict the British weather. We (10 other people who also travelled down on Sunday) met and were instantly friends. I tried my hand at the out of tune piano and out problems just melted away for a while under the diminishing sunlight.

Monday

After everyone else arrived and the different procedural introductions we got stuck in problem solving. (Note: the icebreaker we had to go through did not in fact break-the-ice for it was a bingo involving facts of students. An absurd example being to find someone with blue socks which I was only one of a precious few.) The director of studies did not treat us like kids, as a brilliant mathematician he questioned our intuition. After explaining Claude Shannon’s Information theory, he asked an array of mind-bending questions, but even the simplest one caused commotion amongst budding mathematicians:

“I have a bottle and a cap, together costing £1.10. The bottle costs exactly £1 more than the cap so my questions to you is: How much does the cap cost?”